Integrated planar composite coupling structures for bi-directional light beam transformation between a small mode size waveguide and a large mode size waveguide

Abstract

Composite optical waveguide structures or mode transformers and their methods of fabrication and integration are disclosed, wherein the structures or mode transformers are capable of bi-directional light beam transformation between a small mode size waveguide and a large mode size wavguide. One aspect of the present invention is directed to an optical mode transformer comprising a waveguide core having a high refractive index contrast between the waveguide core and the cladding, the optical mode transformer being configured such that the waveguide core has a taper wherein a thickness of the waveguide core tapers down to a critical thickness value, the critical thickness value being defined as a thickness value below which a significant portion of the energy of a light beam penetrates into the cladding layers surrounding the taper structure thereby enlarging the small mode size. This primary tapered core structure may be present in either a vertical or horizontal direction and may be combined with further up taper or down taper structures in the directions transverse to the primary taper direction. Another aspect of the present invention is directed to a non-cylindrical graduated refractive index (GRIN) lens structure. The non-cylindrical GRIN structure has a graded refractive index having a maximum value at its core and a minimum value at its outer edges. The grading of the refractive index is provided in a either the vertical or horizontal directions and may have either a fixed refractive index or a graded refractive index in the transverse directions. Yet another aspect of the present invention is directed to composite optical mode transformers that are combinations of the taper waveguide structures and the non-cylindrical graduated refractive index structures. Yet another aspect of the present invention is the further integration of the mode transformers with V-grooves for multiple input/output fibers and alignment platform for multiple input/output photonic chips or devices.

Description

BACKGROUND OF THE INVENTION

[0002] 1. Field of the Invention

[0003] The present invention relates, in general, to optical structures that enable optical beam transformation between a large-mode-size waveguide and a small-mode-size waveguide, and methods of making the same. In particular, the present invention relates to methods for transforming the optical mode between a photonic device and one or more optical fibers. The present invention also relates, in particular, to the integrated fabrication of such structures on a module platform or the photonic device, their connections with one or more input/output optical fibers.

[0004] 2. Description of the Related Art

[0005] The current strong demand for bandwidth over the Internet has resulted in great demand for photonic device components in optical communications and data or information processing. These device components include fiber optics, non-linear crystal optics, and integrated optics in such material systems as dielectrics, polymers, optical crystals, and semiconductors (also called electro-optic or optoelectronic systems).

[0006] Optical-crystal and dielectric-material-based discrete optical components such as LiNbO3-based-modulators, glass ion-exchange-based optical power splitters and flame-hydrolysis-deposited silica-on-silicon multiplexers/demultiplexers, can play certain roles, but their sizes are generally large and their functions are limited. Hence, in the long run, it is very unlikely that they can compete with waveguide based photonic devices such as Photonic Integrated Circuits (PICs), which can be made very small and also multifunctional with high packing density similar to today's large scale integration of microelectronic circuits.

[0007] Waveguides are used for inputting and out putting light energy for such photonic devices to optical fibers. The input/output waveguides in a photonic device are typically made up of dielectric or semiconductor materials. A photonic device may contain one or more such input/output waveguides. Unless otherwise specified, such input/output optical waveguides will be referred to as device waveguides below.

[0008] In spite of the promise of waveguide based photonic devices, in general, and photonic integrated circuits, in particular, however, several challenges remain. One challenge is at the optical interface. Light must be efficiently coupled, with high precision and stability, between drastically dissimilar components and materials, in a cost effective, manufacturable way. There are several issues that need to be addressed with respect to this challenge, including the following:

[0009] (1) The drastically different spot or mode profile in terms of size and symmetry between a fiber and a photonic device waveguide.

[0010] (2) The difficulty in the alignment of a fiber and a photonic device waveguide, as well as of any other intermediate component such as a ball lens.

[0011] (3) The difficulty of coupling multiple fibers to a photonic device with mmultiple device waveguides efficiently in a cost effective way.

[0012] Prior-art efforts addressing each of these challenges are summarized below.

[0013] (1) Prior Art in Dealing with the Mode-size Conversion Issue

[0014] With regard to mode-size conversion, in order to ensure single-mode operation (as required for high-speed, large-capacity optical signal manipulation), the dimension of a device waveguide is typically one order of magnitude less than that of a silica fiber waveguide. The result is a substantial mode-field mismatch between these two waveguides. As shown in FIG. 1(a) and (b), for optimal performance, the mode profile of a single-mode optical fiber 110 is circular, and its size is generally about 5 to 10 μm in diameter, whereas the mode profile of a photonic device waveguide 120 is elliptical and its dimension is typically less than 1 to 3 μm—as small as 0.2 μm for high-density photonic integrated circuits.

[0015] Various methods are currently used for transforming the optical modes between an optical fiber and a device waveguide. These methods are broadly summarized below.

[0016] Method 1—Butt-coupling method

[0017] The simplest coupling arrangement is a direct butt-joining between a fiber and a semiconductor laser (or other semiconductor waveguide) as shown in FIG. 2. Since light is only required to couple in one direction—i.e., from the laser 210 to the fiber 220—one can adjust the gap distance 230 to allow the divergent cone of light 240 to expand and roughly match the size of a fiber core 250. One problem with this approach is the relatively low coupling efficiency caused by the large divergence angle and the fact that a fiber can only capture and guide a narrower cone of light within a small capturing angle. As a result, the typical coupling efficiency for a direct butt-joining is less than 5-30% depending on the size of the device waveguide. In spite of the low coupling efficiency, this technique is being explored by NEC of Japan (among others) for low-cost mass packaging of transceivers because this technique requires the fewest of components, which minimizes component cost. (Kenji Yamauchi et al., “Automated mass production line for optical module using passive alignment technique,” 50th Electronic Components and Technology Conference, May 21-24, 2000, Las Vegas, Nev., USA).

[0018] Method 2—Lensed fiber or microlens method

[0019] A method improved over the direct butt-joining technique is to make the fiber end into a lens 310 (lensed fiber) as shown in FIG. 3 so that more light can be captured by the fiber. (Kazuhiko Kurata, “Mass production techniques for optical modules,” 48th Electronic Components and Technology Conference, May 27-28, 1998, Seattle, Wash., USA). Another improved method uses a separate lens 410 placed in the gap 420 as shown in FIG. 4. Various lenses have been used, including glass ball lenses and GRIN (graded refractive index) rod lenses, as well as aspheric injection molded plastic lenses. (Keith Anderson, “Design and manufacturability issues of a co-packaged DFB/MZ module,” 49th Electronic Components and Technology Conference, Jun. 2-4, 1999, San Diego, Calif., USA). With these lenses, the coupling efficiency is increased to 50% to 70% for device waveguide mode about 2 μm in size.

[0020] Method 3—Cylindrical lenses method

[0021] Besides geometric discontinuities between a device waveguide and an optical fiber, the imperfect coupling efficiency results also in part from the elliptical shape of the light cone emerging from a typical device waveguide such as that from a Fabry-Perot cavity semiconductor laser, which causes a non-perfect match with the circular mode pattern of the fiber. A method to correct for such elliptical or astigmatic beam shape is shown in FIG. 5, which illustrates the use of a combination of two perpendicular cylindrical lenses 510 and 520 of different focusing powers along the vertical lens (510) and lateral lens (520) directions, which can circularize the elliptical beam and theoretically increase the coupling efficiency to about 85% for a typical semiconductor laser with a mode size of about 1 μm (vertical) by 3 μm (horizontal). (Sun-Yuan Huang et al., “High coupling optical design for laser diodes with large aspect ratio,” 49th Electronic Components and Technology Conference, Jun. 2-4, 1999, San Diego, Calif., USA).

[0022] Method 4—Cylindrical lensed fiber method

[0023] A cylindrical lensed fiber (CLF) has also been used. (Soon Jang “Automation manufacturing systems technology for opto-electronic device packaging” 50th Electronic Components and Technology Conference, May 21-24, 2000, Las Vegas, Nev., USA). Although the coupling efficiency with the use of a CLF can be high (˜90%), the cost is also high because a CLF is not easy to make, and achieving high coupling efficiency also requires difficult labour-intensive alignment, as a practical matter.

[0024] Method 5—Laterally tapered rectangular waveguide on top of a large rectangular waveguide method

[0025] Another approach to mode-size conversion is to place a laterally tapered rectangular waveguide on a large mode size rectangular waveguide, where light coupling between the top and the bottom waveguide occurs as a result of the top lateral taper. This method can serve the function of mode-size conversion in both the vertical and horizontal directions, but it is not well accepted in practice due to the difficulty in integrating such a structure with a device waveguide and also the cost of manufacturing such a structure. FIG. 6 shows such a polymer based waveguide structure 610 inserted between a semiconductor laser 620 and a fiber 630. (D. J. Goodwill et al., “Polymer tapered waveguides and flip-chip solder bonding as compatible technologies for efficient OEIC coupling,” 47th Electronic Components and Technology Conference (ECTC), May 18-21, 1997, San Jose, Calif., USA). One difficulty in this approach is the integration of such a tapered waveguide 610 made of polymer with a laser 620 made of semiconductor material due to the large difference in their coefficients of thermal expansion and mechanical stabilities. In the case where such a structure is made of the same semiconductor material as that of the semiconductor laser, it would require the epitaxial growth of a large bottom waveguide layer and the cost will be high.

[0026] Method 6—Vertically tapered down rectangular waveguide method

[0027] To enable easy integration, vertically tapered down semiconductor waveguide spot-size converters that squeeze the guided optical mode into the cladding have been integrated with semiconductor lasers. (Aaron E. Bond et al., “High speed packaged electroabsorption modulators for optical communications” 50th Electronic Components and Technology Conference, May 21-24, 2000, Las Vegas, Nev., USA; Y. Inaba et al., “Multiquantum-well lasers with tapered active stripe for direct coupling to single mode fiber” IEEE Photonics Technology Letters, Vol. 6, pp. 722, 1997; M. Kitamura, “Method of making a tapered thickness waveguide integrated semiconductor laser,” U.S. Pat. No. 5,792,674, issued Aug. 11, 1998; Jeon et al., “Laser diode device having a substantially circular light output beam and a method of forming a tapered section in a semiconductor device to provide for a reproducible mode profile of the output beam,” U.S. Pat. No. 6,052,397, issued Apr. 18, 2000). Although this method can enlarge the optical mode in the vertical direction, Problems associated with such structures include the required length of the tapered down structure that will lead to additional light propagation loss and the additional expense of III-V semiconductor materials.

[0028] 2) Costs of Photonic Device Module Connection with Optical Fibers [Problem #2]

[0029] While the above-mentioned methods may be employed to transfer optical energy somewhat efficiently between an optical fiber and a device waveguide of about 2 μm in size, the approaches of these methods are costly. Typically, an enclosure is used to house the device, the discrete mode-transferring element (e.g. a ball lens), and the optical fiber, thereby forming a packaged module. To align the device waveguide to the fiber and the mode transferring module, most photonic device manufacturers are still performing manual alignment under a microscope because of the very disparate nature of the components, their high price and low product volumes. Such a process is not well suited to high-volume, low-cost production.

[0030] Existing techniques for fixing a fiber (and lens) in position with respect to a rectangular semiconductor waveguide include epoxy curing, soldering, mechanical fixture, and laser welding. In order to reduce the need for manual placement/alignment and fixing in the packaging process, efforts have been focused on automating the fixing process. For example, Newport, JDS-Uniphase and NEC are developing automatic parts-handling and assembling procedures using machine vision combined with micro-stages or micro-robots to achieve sub-micron precision (Soon Jang, “Automation manufacturing systems technology for opto-electronic device packaging,” 50th Electronic Components and Technology Conference, May 21-24, 2000, Las Vegas, Nev., USA; Peter Mueller and Bernd Valk, “Automated fiber attachment for 980 nm pump module,” 50th Electronic Components and Technology Conference, May 21-24, 2000, Las Vegas, Nev., USA; Kazuhiko Kurata, “Mass production techniques for optical modules,” 48th Electronic Components and Technology Conference, May 27-28, 1998, Seattle, Wash., USA).

[0031] At the same time, the concept of a silicon optical bench (SiOB) on which V-grooves are wet-etched to guide the mounting or placement of photonic components including fibers, lenses, and even semiconductor chips has been well accepted; SiOBs are disclosed in several U.S. patents (e.g., Murphy, “Fiber-waveguide self alignment coupler,” U.S. Pat. No. 4,639,074, issued Jan. 27, 1987; Albares et al,. “Optical fiber-to-channel waveguide coupler,” U.S. Pat. No. 4,930,854, issued Jun. 5, 1990; Benzoni et al., “Single in-line optical package,” U.S. Pat. No. 5,337,398, issued Aug. 9, 1994; Francis et al., “Waveguide coupler,” U.S. Pat. No. 5,552,092, issued Sep. 3, 1996; Harpin et al., “Assembly of an optical component and an optical waveguide,” U.S. Pat. No. 5,881,190, issued Mar. 9, 1999; Roff, “Package for an optoelectronic device,” U.S. Pat. No. 5,9:37,124, issued Aug. 10, 1999). It is very likely that high precision automation will be combined with silicon V-groove technology to produce fiber-pigtailed or fiber-connectable photonic devices. The V-groove technology, however, still needs some alignment procedure.

[0032] In spite of the above-mentioned approaches, the current packaging cost is still very high. For example, about 70 to 80% of the total cost of any fiber-pigtailed III-V optoelectronic module such as an optical transceiver is due to its packaging. Moreover, most of the prior art has been aimed at solving the semiconductor-laser-to-fiber coupling problem, which is one-directional. For future dense wavelength division multiplexing (DWDM) optical communication systems, bi-directional multi-port devices like M×N switches will be in large demand, and the prior art is not able to provide an adequate solution.

[0033] (3) Difficulty of Current Methods for Multiple Fiber Connections [Problem #3]

[0034] The current methods are somewhat adequate for large photonic device with one input/output waveguide, they generally become difficult when more than one input/output and fibers are involved. This is because the yield for the alignment procedures referred to above rapidly decreases as the number of input and output fibers increases. This yield reduction can seriously limit the application of such coupling and packaging techniques to high-density photonic integrated circuits, for which tens to hundreds of input and output fibers are expected to be connected to a single photonic chip.

[0035] The main criteria needed for optical mode transferring methods and devices to achieve a cost-effective and efficient optical energy transfer between a device waveguide and one or more optical fibers can be more specifically described as follows:

[0036] (i) The methods and devices should be able to achieve mode size transformation from about 10 μm down to about 2 μm (for λ=1.55 μm) or in the reverse direction for typical waveguide devices.

[0037] (ii) The methods and devices should be able to achieve mode size transfer from about 10 μm to below 1 μm (for λ−1.55 ∞m) or in the reverse direction for more challenging waveguide devices such as high-density semiconductor photonic integrated circuit.

[0038] (iii) The methods and devices should be capable of achieving self-alignment between the photonic device and the optical fibers or other intermediate beam transferring elements. Self-alignment lends itself to low-cost manufacturing. It also allows cost-effective coupling between a photonic device and more than one optical fibers.

[0039] (iv) The methods and devices should have low optical reflection and absorption losses between the photonic device and the optical fibers.

[0040] (v) The methods and devices should have the flexibility of transferring the vertical and lateral mode size separately. This allows it to correct for beam astigmatism in the device waveguide mode.

[0041] (vi) The methods and devices should have high yield and low fabrication costs.

[0042] The current mode transformation methods can not adequately achieve the majority of criterias (i)-(vi). For example, the ball lens method can achieve (i) and (iv) but not (ii), (iii), (v) and (vi)

[0043] What is still needed in the field, therefore, are devices and methods for transferring the mode size between photonic device and one or more optical fibers that satisfy some or a majority of critirias (i) to (vi) above.

[0044] The present invention described herein overcomes the various difficulties encountered by the previous methods by the use of new optical structures referred to as integrated composite coupling structures (ICCS). The mode transformation device or mode transformer is referred to as an Integrated Composite Mode Transformer (ICMT). With the use of the new optical structures according to the present invention, disadvantages associated with prior methods are addressed.

BRIEF SUMMARY OF THE INVENTION

[0045] The integrated composite coupling structures of the present invention provide an integrated approach to optical mode transformation. The integrated approach allows fabrication of a large number of couplers using established processes used frequently in electronics industries and photonic integrated circuit industries, thereby resulting in lower fabrication cost. The composite optical structures allow the beam to be transformed differently in the vertical and lateral directions.

[0046] An embodiment of the present invention provides a planar optical structure that can transform the vertical mode size between a photonic device and an optical fiber. The size of the optical structure is small relative to the optical fiber diameter, which reduces alignment sensitivity. In one aspect of the present invention, the vertical mode transformation is achieved via the use of a micro vertical graded refractive index (μ-VGRIN) structure that is capable of beam size transformation down to below λ/1.5 (or 1 μm for λ=1.5 μm). Moreover, the μ-VGRIN structure can be fabricated according to the present invention using established process technology such as Ion-Assisted-Deposition with low cost and low optical loss.

[0047] In another aspect of the present invention, a composite structure is formed by combining a μ-VGRIN structure with a horizontal taper structure to achieve separate transformation of the horizontal and vertical beam mode sizes, thereby allowing 2-D beam transformation capable of astigmatic beam size correction. The composite structure can include a cascaded or concurrent geometry.

[0048] In yet another aspect of the present invention, an integrated composite coupling structure or its composite variants is further integrated to an alignment V-groove structure for fiber on one side and a alignment platform for photonic chip on the other side to achieve self-alignment between the photonic device, the optical fiber and the coupling structure (or its composite variants).

[0049] In yet another aspect of the present invention, a μ-VGRIN structure is combined with a micro-lateral graded refractive index (μ-LGRIN) structure to achieve separate transformation of the vertical and lateral beamsizes. The μ-LGRIN structure can be fabricated with low cost and large quantity using UV-imprinting process used in the photonic industry. The composite μ-VGRIN and μ-LGRIN structure can include a cascaded or concurrent geometry.

[0050] In yet another aspect of the present invention, a high-refractive-index-contrast vertical sharp taper (HRC-VST) and dielectric structure is used for which the relative refractive index of the vertical taper material is substantially higher than that of the dielectric material. The high index contrast allows beam transformation down to about λ/15 (or 0.1 μm for λ=1.5 μm) when the taper is made up of silicon and the dielectric is made up of glass. The HRC-VST can be fabricated according to the present invention using established processes in the electronics and photonics industries with low costs.

[0051] In yet another aspect of the present invention, a composite structure is formed by combining an HRC-VST structure with either a high-refractive-index-contrast laterally gradual taper (HRC-LGT) or a μ-LGRIN structure to achieve separate transformation of the vertical and lateral beam sizes thereby allowing 2-D transformations capable of astigmatic beam size correction. The composite structure can include a cascaded or concurrent geometry.

[0052] In yet another aspect of the present invention, a HRC-VST structure or a composite variant is further integrated to a V-groove structure for fiber on one side and an alignment platform for photonic chip on the other side to achieve self-alignment between the photonic device, the optical fiber and the HRC-VST structure (or its composite variants).

[0053] In yet another aspect of the present invention, the sharp taper is in the lateral/horizontal direction, resulting in a high-refractive-index-contrast lateral sharp taper (HRC-LST) which provide beam transformation in the lateral/horizontal direction.

[0054] In yet another aspect of the present invention, a plurality of μ-GRIN structures, sharp taper structures, gradual taper structures and their composite variants are further integrated to a V-groove structure for fiber on one side and an alignment platform for photonic chip on the other side to achieve self-aligned beam transformation between a photonic chip device and more than one optical fibers.

[0055] In yet another aspect of the present invention, a μ-GRIN structure or a sharp taper structure, or one of their composite variants is fabricated directly on a photonic device chip.

[0056] A better understanding of the features and advantages of the present invention will be obtained by reference to the following detailed description that sets forth illustrative embodiments, in which the principles of the invention are utilized, and the accompanying drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

[0057] FIG. 1A illustrates the mode profile of a typical single-mode fiber.

[0058] FIG. 1B illustrates the mode profile of a typical single mode III-V compound semiconductor channel waveguide.

[0059] FIG. 2 shows a prior-art system in which light is transmitted directly from a semiconductor laser to a single mode optical fiber.

[0060] FIG. 3 shows a prior-art system in which light is transmitted from a semiconductor laser into a lensed optical fiber.

[0061] FIG. 4 shows a prior-art system in which light is transmitted via a lens from a semiconductor laser into an optical fiber.

[0062] FIG. 5 shows side and top views of a prior-art system in which light is transmitted via two perpendicular cylindrical lenses of different focusing powers from a semiconductor laser into an optical fiber.

[0063] FIG. 6 shows a prior-art system in which light is transmitted via a tapered polymer waveguide from a semiconductor laser into an optical fiber.

[0064] FIG. 7 shows an optical interface between two media, illustrating the principles of reflection, refraction, the critical angle, and total internal reflection.

[0065] FIG. 8 illustrates a principle of light guiding in a step-index optical fiber or waveguide.

[0066] FIG. 9 illustrates a principle of light guiding in a GRIN optical fiber or waveguide.

[0067] FIG. 10 illustrates a principle of approximating a continuous graded refractive index change by using a series of small refractive index steps.

[0068] FIG. 11A illustrates a planar silicon waveguide film.

[0069] FIGS. 11B-G show a profile of the propagating mode of a silicon waveguide film with a thickness of 0.4 micron, 0.3 micron, 0.2 micron, 0.1 micron, 0.05 micron, and 0.01 micron, respectively.

[0070] FIG. 12 shows the mode size of the propagating mode of a silicon waveguide as a function of the waveguide core thickness.

[0071] FIG. 13 is a side view of a vertically down-tapered basic mode transformation module according to the present invention.

[0072] FIG. 14 is a result of a computer simulation of light propagation in the module of FIG. 13.

[0073] FIGS. 15A-C illustrates exemplary fabrication steps for the module of FIG. 13.

[0074] FIG. 16 is a top view of a horizontally/laterally down-tapered basic mode transformation module according to the present invention.

[0075] FIG. 17 is a result of a computer simulation of light propagation in the module of FIG. 16.

[0076] FIGS. 18A-D illustrates exemplary fabrication steps for the module of FIG. 16.

[0077] FIG. 19 is a top view of a horizontally/laterally up-tapered basic mode transformation module according to the present invention.

[0078] FIG. 20 is a result of a computer simulation of light propagation in the module of FIG. 19.

[0079] FIGS. 21A-E illustrates exemplary fabrication steps for the module of FIG. 19.

[0080] FIGS. 22A-B are, respectively, a top and a side view of a vertically down-tapered, horizontally/laterally up-tapered basic mode transformation module according to the present invention.

[0081] FIG. 23 is a result of a computer simulation of light propagation in the module of FIG. 22.

[0082] FIGS. 24A-F illustrates exemplary fabrication steps for the module of FIG. 22.

[0083] FIG. 25 is a perspective view of a glass/polymer waveguide module with a step refractive index in the vertical and horizontal/lateral direction according to the present invention.

[0084] FIG. 26 is a result of a computer simulation of light propagation in the module of FIG. 25.

[0085] FIGS. 27A-E illustrates exemplary fabrication steps for the module of FIG. 25.

[0086] FIG. 28 is a perspective view of a glass/polymer waveguide module with a step refractive index in the horizontal/lateral direction and a graded refractive index in the vertical direction according to the present invention.

[0087] FIG. 29 is a result of a computer simulation of light propagation in the module of FIG. 28.

[0088] FIGS. 30A-D illustrates exemplary fabrication steps for the module of FIG. 28.

[0089] FIG. 31 is a perspective view of a glass/polymer waveguide module with a graded refractive index in both the horizontal/lateral direction and the vertical direction according to the present invention.

[0090] FIG. 32 is a result of a computer simulation of light propagation in the module of FIG. 31.

[0091] FIGS. 33A-B illustrates exemplary fabrication steps for the module of FIG. 31.

[0092] FIGS. 34A-B are, respectively, a side view and a top view of a super mode transformation coupler with a vertically down-tapered, horizontally/laterally up-tapered high-index waveguide core embedded in a glass/polymer waveguide with a graded refractive index in the vertical direction and a step refractive index in the horizontal/lateral direction according to the present invention.

[0093] FIG. 35 is a result of a computer simulation of light propagation in the super mode transformation coupler of FIG. 34.

[0094] FIGS. 36A-N illustrate exemplary fabrication steps for the super mode transformation coupler of FIG. 34.

[0095] FIGS. 37A-B are, respectively, a side view and a top view of a super mode transformation coupler with a vertically down-tapered, horizontally/laterally down-tapered high-index waveguide core embedded in a glass/polymer waveguide with a graded refractive index in both the horizontal/lateral and the vertical direction according to the present invention.

[0096] FIG. 38 is a result of a computer simulation of light propagation in the super mode transformation coupler of FIG. 37.

[0097] FIGS. 39A-N illustrate exemplary fabrication steps for the super mode transformation coupler of FIG. 37.

[0098] FIG. 40A is a side view of a super mode transformation coupler with a vertically down-tapered high-index waveguide core embedded in a glass/polymer waveguide with a non-symmetric graded refractive index in the vertical direction and a step refractive index in the horizontal/lateral direction according to the present invention.

[0099] FIG. 40B is a top view of the super mode transformation coupler of FIG. 40A, in which the high-index waveguide core is horizontally up-tapered.

[0100] FIG. 40C is an alternative top view of the super mode transformation coupler of FIG. 40A, in which the high-index waveguide core is horizontally down-tapered.

[0101] FIG. 41 is a result of a computer simulation of light propagation in the super mode transformation coupler of FIG. 40A.

[0102] FIGS. 42A-N illustrate exemplary fabrication steps for the super mode transformation couplers of FIG. 40.

[0103] FIG. 43 is a result of a computer simulation of light propagation in a variation of the super mode transformation coupler of FIG. 40A.

[0104] FIGS. 44A-C illustrate exemplary fabrication steps for a variation of the super mode transformation coupler of FIG. 40A.

[0105] FIGS. 45A-C illustrate exemplary fabrication steps for mounting an optical fiber and a semiconductor optical device coupled by a super mode transformation coupler according to the present invention.

[0106] FIG. 46 illustrates a device in which a number of semiconductor optical devices are coupled to a number of optical fibers using super mode transformation couplers according to the present invention.

[0107] FIG. 47 is a schematic illustration of a photonic breadboard on which various integrated photonic chips are mounted and interconnected via coupler modules according to the present invention.

DETAILED DESCRIPTION OF THE INVENTION

[0108] Contents of Detailed Description

[0109] I. General Background and Terminology

[0110] II. General Introduction

[0111] III. Exemplary devices and embodiments

[0112] (1) Exemplary device 1: a high-refractive-index-contrast vertical sharp-down-taper (HRC-VSDT) ICMT device

[0113] (2) Exemplary device 2: a high-refractive-index-contrast lateral sharp-down-taper (HRC-LSDT) ICMT device

[0114] (3) Exemplary device 3: a high-refractive-index-contrast-lateral gradual-up-taper (HRC-LGUT) ICMT device

[0115] (4) Exemplary device 4: a vertical sharp-down-taper and lateral gradual-up-taper (VSDT×LGUT) ICMT device

[0116] (5) Exemplary device 5: a lateral-step-refractive-index and vertical-step-refractive-index (LSRIN×VSRIN) ICMT device

[0117] (6) Exemplary device 6:

[0118] (A) a composite-lateral-step-refractive-index and vertical-graded-refractive index (LSRIN×VGRIN) ICMT device

[0119] (B) a composite-lateral-graded-refractive-index and vertical-graded-refractive index (LGRIN×VGRIN) ICMT device

[0120] (7) Exemplary device 7: a vertical-sharp-down-taper-and-lateral-gradual-up-taper-cascaded-with-a-vertical-graded-refractive-index-and-lateral-step-refractive-index (VSDT×LGUT+VGRIN×LSRIN) ICMT device

[0121] (8) Exemplary device 8: a vertical-sharp-down-taper-and-lateral-sharp-down-taper-embedded-in-a-symmetric-vertical-graded-refractive-index-and-lateral-graded-refractive-index (VSDT×LSDT+VGRIN×LGRIN) ICMT device

[0122] (9) Exemplary device 9: a vertical-sharp-down-taper-cascaded-with-a-nonsymmetric-vertical-graded-refractive-index-(VSDT+NSVGRIN) ICMT device

[0123] (10) Variations of exemplary devices and integration of ICMT with v-grooves for fiber alignments platform for photonic chips

[0124] IV. Applications

[0125] Description of the Specific Exemplary Embodiments

[0126] 1. General background and Terminology

[0127] Described herein are various exemplary processes and embodiments of the integrated composite mode transformer (ICMT) structures of the present invention. The structures can, for example, be used to provide efficient beam transformation between a photonic waveguide device and one or more optical fibers, wherein the transformation can correct for astigmatic beam sizes in the waveguides of the photonic devices. The ICMT structures can further be placed on a platform for self-alignment with the photonic device and one or more optical fibers.

[0128] To be consistent throughout the present specification and for clear understanding of the present invention, the following background and terminological definitions are hereby provided for terms used therein:

[0129] a) Refractive Index, Optical Wavelength, Law of Reflection, Snell's Law of Refraction, Critical Angle

[0130] As is well known, light is an electromagnetic wave oscillating at very high frequency. When light travels in an electrically nonconductive medium such as glass, its speed will be reduced as compared to traveling in a vacuum and the ratio of the phase velocity of light in a vacuum (c) to that in a medium (v) is the refractive index n of the medium, 1$n=\frac{c}{v}.$

[0131] Due to the fact that the frequency of the wave will not change as light travels from vacuum into a medium, the optical wavelength in a medium, λ, is thus reduced to λ=λ0/n, where λ0 is the wavelength in a vacuum.

[0132] Light can be regarded as a ray traveling in a straight line within a medium of the same refractive index if the size of the medium (such as a lens) is much greater than the wavelength. At an optical interface 710 of two different refractive indices ni and nt, a light ray will be reflected back into the first medium 720 (ni) and also refracted/transmitted into the second medium 730 (nt) as shown in FIG. 7. Law of reflection tells us that the angle of incidence (θi) equals the angle of reflection (θr) and Snell's law of refraction says that the retraction angle (θt) is related to the incidence angle (θi) through the equation

n i sin θi=nt sin θt.

[0133] However, if ni>nt, as θi increases to a particular value called the critical angle, θc will reach 90°, and afterwards, the incident light ray will be totally reflected 740. Thus, as shown in FIG. 8, light guiding in a step refractive index optical waveguide or fiber can be explained by successive total internal reflections 810.

[0134] (b) Optical Waveguide, Planar Waveguide, Channel Waveguide

[0135] From the above, we see that an optical waveguide is made up of a material with a high refractive index, surrounded by materials with a lower refractive index. The optical energy that is guided lies primarily within the layer with high refractive index. The layer with high refractive index is called the waveguide core while the surrounding layers with low refractive indices are called the waveguide cladding. If the waveguide is in the form of a two-dimensional layered structure, it is known to those skilled in the art as a planar waveguide for which optical energy will be confined to guide along a plane. If the waveguide core is in the form of a cylindrical or rectangular or other bar type shape, it is known to those skilled in the art as a channel waveguide. While the present application is primarily directed towards channel waveguides, planar waveguides are often used to demonstrate the basic idea of the principles involved because of their simplicity.

[0136] (c) Graded Refractive Index and Related Waveguide Structures, Parabolic Distribution Periodic Focusing

[0137] As shown in FIG. 9, in a graded refractive index (GRIN) optical waveguide or fiber 910, the waveguiding material has a refractive index that decreases continuously from the central axis. In this case, light rays travel through the waveguide or fiber in a fashion as shown in FIG. 9. Such a GRIN waveguide relies on refraction and not reflection, except possibly at the cladding layer.

[0138] A parabolic refractive index distribution will cause the light rays to bend towards the axis and to get refocused periodically. As shown in FIG. 10, the behavior can be simply explained by modeling the continuous change as a series of small step changes 1010. Note that at each step or interface, the bending of the ray follows the law of refraction. As the ray travels from the axis 1020 to the low refractive index region, at each step or interface, it will bend further towards the horizontal direction until the incident angle exceeds the critical angle in which case, the ray will be totally internally reflected 1030. Now the ray is traveling from low to high refractive index medium and hence, the law of refraction tells us that at each boundary or interface, the ray will bend towards the axis until it crosses the axis. Afterward, it will repeat the cycle. Note that, in addition to guiding light, the GRIN waveguide also functions as a lens to focus or expand/collimate a beam of light if the waveguide is cut into the right length.

[0139] (d) Wave Behavior and Critical Wave-behavior Dimension (CWBD) for Waveguide Taper

[0140] When the size of the guiding region is no longer much larger than the wavelength but rather smaller than the wavelength, the ray concept can no longer give an accurate picture of how light propagates, and one must resort to wave theory to better describe light propagation. As an example, consider a semiconductor taper embedded in a glass medium. There exists a critical wave-behavior dimension (CWBD) for the waveguide taper of CWBD=λ0/(4{square root}{square root over (nc2−ncl2)}) (where λ0is the wavelength in vacuum, nc is the refractive index of the tapering waveguide core and ncl is the refractive index of the waveguide cladding), below which light will penetrate substantially into the cladding medium while being guided. FIG. 11b to 11f show the electric field profile of the propagating mode for a silicon waveguide 1110 (FIG. 11a) with a thickness equal to 0.4 μm, 0.3 μm, 0.2 μm, 0.1 μm, 0.05 μm, and 0.01 μm, respectively. In FIG. 11, the x-axis indicates space position across the waveguide in μm, the y-axis indicates normalized electric field of the lowest transverse electric (“TE”) mode. The wavelength of light is 1.5 μm, the refractive index of the cladding 1120 is assumed to be 1.5 and the refractive index of the silicon waveguide core 1110 is assumed to be 3.5. FIG. 12 plots the mode size (given by the full-width at half maximum of the mode intensity) as a function of the waveguide core thickness t. From FIG. 12, as the Si waveguide thickness decreases, the mode size first decreases and then starts to become larger at approximately t=1.5/(4{square root}{square root over (3.52−1.52)})≈0.1 μm.

[0141] (c) Propagating Refractive Index of Waveguide, Waveguide End Facet Reflectance, Sharp-tip Tapered Waveguide, Sharp Taper and Gradual Taper

[0142] In an optical waveguide, it is useful to define the propagating refractive index of the waveguide as ng=nc sin(θi). This propagating refractive index takes a value between the refractive index of the core nc and the refractive index of the cladding ncl. As the waveguide gets thinner, θi approaches the critical angle, and ng approaches the refractive index of the cladding ncl. In fact, most of the optical energy will reside in the cladding when t is very small. If this waveguide (thinner than the critical wave-behavior dimension CWBD) is abruptly terminated at an end facet, beyond which is filled by the cladding material, the reflectance (percentage of reflected optical power with respective to the incident optical power) for a guided wave hitting the end facet is given approximately by the end facet reflectance of 2$R={\left(\frac{n_g-n_{\mathrm{cl}}}{n_g+n_{\mathrm{cl}}}\right)}^2.$

[0143] Hence, such end-facet reflectance can be reduced to zero provided ng approaches ncl, which will be the case if the waveguide is very thin (i.e. all is transmitted).

[0144] A waveguide with a gradually decreasing or increasing thickness along the direction of propagation is called a taper waveguide. A taper waveguide can in some way be seen as composed of many waveguide sections with decreasing or increasing thickness. From the above discussion, we see that a waveguide taper that tapers down to a near-zero thickness will first reduces the mode size and when the mode hits a region with a thickness smaller than the critical thickness, the mode size will starts to be enlarged. Furthermore, since the thickness of the waveguide approaches zero at the taper end, we can expect the optical power reflection at the taper end is to be negligible. Thus, a waveguide taper that tapers down to near zero thickness (a sharp-tip tapered waveguide) can be used to enlarge the mode size of a guided wave and also reduce the end facet reflection to a negligible value at the same time. Such a sharp-tip tapered waveguide will be referred to as “sharp taper” as opposed to “gradual taper”; a gradual taper will not taper down to reach the CWBD or reach a sharp tip. A gradual taper, for example, will slowly reduce the mode size and is typically used as a mode reducer. Furthermore, a gradual down taper will have reflection at the end face and will typically use anti-reflection techniques to reduce the end facet reflection.

[0145] The foregoing description serves as a general background providing a context within which embodiments of the present invention will be described below and are not meant to restrict any of the embodiment of the present invention.

[0146] II. General Introduction

[0147] When a submicron semiconductor channel waveguide is to be connected to a single mode optical fiber with a typical dimension of about 10 μm, one critical need is the expansion or enlargement of the mode size from the semiconductor channel waveguide to match that of the optical fiber, or the reverse process.

[0148] According to the embodiments of present invention, several different mode transformation and coupling structures can be cost effectively fabricated in either a single structure format or a composite structure format forming various mode transformation modules.

[0149] As discussed above, the integrated composite mode transformer (ICMT) structures include at least three types of basic mode transformation structures, namely:

[0150] (I). The sharp-taper structure (ST) includes a sharp tapering in either the vertical direction (VST) or the lateral direction (LST). These structures may be referred to below simply as ST, VST, and LST, respectively, with the high-refractive-index-contrast assumed. The sharp taper can further be distinguished as down or up depending on the direction of assumed mode propagation. For the purpose of nomenclature convenience only, the mode propagating direction below is taken to be from the photonic chip to the optical fiber. Those skilled in the art will readily be able to generalize it to other mode propagating configurations.

[0151] (II). The gradual-taper structure (GT), includes gradual tapering in either the vertical direction (VGT) or the lateral direction (LGT). These structures may be referred to below simply as GT, VGT, and LGT respectively. The gradual taper can further be distinguished as down or up and the propagating direction issue is as described in (I).

[0152] (III). The micro graded refractive index structure (μ-GRIN) includes a graded refractive index distribution in either the vertical (μ-VGRIN) or lateral (μ-LGRIN) directions. These structures may be referred to below simply as GRIN, VGRIN, or LGRIN. The GRIN structure can further be distinguished as symmetric or non-symmetric depending on whether the graded index has a profile symmetric or asymmetric with respect to the optical axis of propagation for the input wave.

[0153] Further, the sharp taper (ST) and the gradual taper (GT) may be in the form of high refractive index contrast structures and will be referred to as HRC-ST and HRC-GT, respectively. The high refractive index contrast enables much shorter tapering lengths to be used while maintaining large transformation of mode sizes.

[0154] A brief description of some of these basic module types are provided below.

[0155] (I). HRC-ST (High-Refractive-Index-Contrast, Sharp Taper Structure)

[0156] In this structure type, a high-refractive-index waveguide layer with vertical or lateral tapering to a sharp tip provides the mode size transformation. For the case of vertical tapering, the high-index waveguide layer is fabricated on top of a lower cladding layer. The upper and side cladding material may be either identical to or different from the lower cladding; hence the cladding index can be either symmetric or asymmetric. One novel feature of embodiments of this structure is the high contrast of the refractive index of the down taper waveguide core relative to the refractive index of the cladding, which confines propagating light to a very small mode size. For example, for the case where the material of the waveguide core is Si; the refractive index can be as high as about 3.5. The cladding material can be glass of various compositions that can have a range of refractive index values from about 1.45 to about 2.5. The sharp point of the taper must reach a dimension smaller than the critical wave-behavior dimension of CWBD=θ0/(4{square root}{square root over (nc2−ncl2)}) introduced above. In that case, transformation of the mode size from as small as λ/15, (submicron for λ=1.5 μm) to a few λ (a few microns for λ=1.5 μm) can be typically achieved.

[0157] (II). HRC-GT (High-Refractive-Index-Contrast, Gradual Taper Structure)

[0158] In this structure type, a gradual taper provides the mode size transformation in either the lateral or the vertical direction. The mode size transformation is due to the fact that gradual mode size will follow the waveguide size if the waveguide changes size gradually. One aspect of the embodiments of this structure is the high contrast of the refractive index of the taper waveguide core relative to the refractive index of the cladding, which allows it to achieve large changes in the mode size within a short propagation distance.

[0159] (III). μ-GRIN (Micro-Graded-Refractive-Index Structure)

[0160] In this structure type, a graded refractive index layer with either a vertical or lateral refractive index gradiant provides the mode size transformation. For the case of a vertical graded refractive index structure, a stepwise refractive index distribution (e.g., the core has a first constant index, and the cladding has a second constant index, lower than the first) or a graded refractive index distribution (index varies throughout the waveguide, in one of the embodiments, being highest near the center) is present in the vertical direction. One feature of the embodiments of this structure is the smallness of the structure, for which the GRIN structure is less than about 50 μm. This thickness is small relative to the diameter of the optical fiber.

[0161] The above three basic beam-transforming structure types together with other waveguide structures, are combined in various composite ways in the vertical and lateral directions, to form different basic beam-transforming modules. The composite structures allows a basic module to transform the beam size in either the vertical or lateral direction, or both the vertical and lateral directions.

[0162] Furthermore, two or more basic modules can be cascaded spatially to form a combined module. The combined module can be used to either increase the degree of mode transformation over that of a basic module, or to have one basic module perform the vertical mode size transformation and another basic module perform the lateral mode size transformation.

[0163] Described below are specific embodiments of various mode transforming devices based on the integrated composite mode transformer (ICMT) structures of the present invention. The various basic modules as well as the combined modules will be described. In the sequence of presentation below, this includes:

[0164] (1) A downward VST or vertical sharp down taper (VSDT) to enlarge the vertical mode size of an optical beam from a photonic chip to an optical fiber (e.g., FIGS. 13-15).

[0165] (2) A downward LST or lateral sharp down taper (LSDT) to enlarge the lateral mode size of an optical beam from a photonic chip to an optical fiber (e.g., FIGS. 16-18).

[0166] (3) An upward LGT or lateral gradual up taper (LGUT) to enlarge the latral mode size of an optical beam from a photonic chip to an optical fiber (e.g., FIGS. 19-21).

[0167] (4) A composite VSDT and LGUT structure forming a (VSDT×LGUT) module to enlarge the mode size vertically and laterally for an optical beam from a photonic chip to an optical fiber (e.g., FIGS. 22-24).

[0168] (5) A step-refactive-index (SRIN) waveguide module that provides simple wave propagation without mode size transformation. This SRIN module is used as a basic module to combine with other modules (e.g., FIGS. 25-27). In the case illustrated in FIGS. 25-27, a vertical step index waveguide (VSRIN) and a lateral step index waveguide (LSRIN) structures are combined to provide simple mode waveguiding in both the vertical and the lateral directions.

[0169] (6) A composite vertical graded refractive index (VGRIN) and LSRIN structure forming a (VGRIN×LSRIN) module to enlarge the vertical mode size for an optical beam from a photonic chip to an optical fiber (e.g., FIGS. 28-30).

[0170] (7) A composite vertical graded refractive index (VGRIN) and laterial graded refractive index (LGRIN) structure forming a (VGRIN×LGRIN) module to enlarge the mode size vertically and laterally for an optical beam from a photonic chip to an optical fiber (e.g., FIGS. 31-33).

[0171] (8) A combined module including a cascaded (VSDT×LGUT) module and (VGRIN×LSRIN) module, namely a (VSDT×LGUT)+(VGRIN×LSRIN) combined module, to increase the enlargement of the mode size vertically and laterally for an optical beam from a photonic chip to an optical fiber (e.g., FIGS. 34-36).

[0172] (9) A combined module made up of a cascade of (VSDT×LSDT) module and (VGRIN×LGRIN) module, namely a (VSDT×LSDT)+(VGRIN×LGRIN) combined module, to increase the enlargement of the mode size vertically and laterally for an optical beam from a photonic chip to an optical fiber (e.g., FIGS. 37-39).

[0173] (10) A combined module made up of either a cascade of (VSDT×LGUT) module and (VGRIN×LSRIN) module with asymmetric GRIN structure, namely a (VSDT×LGUT)+(VGRIN×LSRIN) combined asymmetric GRIN module, or a cascade of (VSDT×LSDT) module and a (VGRIN×LGRIN) module with asymmetric GRIN structure, namely a (VSDT×LSDT)+(VGRIN×LGRIN) combined asymmetric GRIN module, to increase the enlargement of the mode size vertically and laterally for an optical beam from a photonic chip to an optical fiber (e.g., FIGS. 40-43).

[0174] (11) A waveguide bonding process useful for the fabrication of the vertical sharp taper structures (e.g., FIG. 44)

[0175] (12) The integration of the ICMT structures with a V-groove structure for fiber on one side and an alignment platform for photonic chip on the other side. Such an integrated structure allows self-alignment of the ICMT with a photonic chip and an optical fiber (e.g., FIGS. 45-46).

[0176] While the exemplary devices (1)-(12) typically refer to transformation of an optical beam between a photonic chip and optical fibers, it is not meant to limit the applications, embodiments, or scopes of the exemplary devices. It should be clear to those skilled in the art that these exemplary devices can be more generally used to transform optical beams from any type of small core waveguide to any type of large core waveguide or vice versa.

[0177] III. Exemplary Deviced and Embodiments

[0178] Beam transforming devices based on ICMT according to embodiments of the present invention are described in detail below.

[0179] The devices will be described with respect to transmission of a single light beam with wavelength λ. It should be understood that the terms light beam, optical beam, laser beam, etc., are used interchangeably. Moreover, while descriptions of the devices refer to a single light beam, there may be more than one light beam propagating in the device, the light beams may be made up of light with many wavelengths, the light beam may be continuous-wave light or pulsed light, and the light beam may have various beam sizes. Thus the nature of the light beam is used only for illustrative purposes and is not meant to limit the scope of the invention.

[0180] Unless otherwise stated, the exemplary dimensions below will be specified with respect to an exemplary optical wavelength of 1.5 μm. Those skilled in the art will know that the exemplary dimensions will scale proportionally to the wavelength used which can range from ultra-violet (e.g., on the order of 0.1 μm) to far infrared (e.g., on the order of 10 μm).

[0181] The various device embodiments described herein are useful for transforming the mode size of an input beam having a dimension on the order of from about 0.2μm or even less to a beam dimension on the order of about 10 μm to 50 μm or more, and vice versa, with appropriate changes to the various device parameters disclosed. Thus one skilled in the art should understand that the various device embodiment parameters (e.g., length and width dimensions) disclosed herein are exemplary and may be varied according to the desired application.

[0182] (1) Exemplary Device 1: A High-refractive-index-contrast Vertical Sharp-down-taper (HRC-VSDT) ICMT Device

[0183] FIG. 13 illustrates a first general embodiment of an ICMT device 1300 employing a vertical down-tapering beam enlarger with high refractive-index contrast between the enlarger core region and its surrounding cladding region. The device performs as a one dimensional beam-size enlarging element in the vertical direction for a propagating optical beam and can, for example, enlarge an optical beam from a semiconductor waveguide with a beam size as small as λ/7.5 (or 0.2 μm for λ=1.5 μm) to a large optical beam such as one with a beam size more than five times larger. The device is not limited to use as a beam enlarger but can also function as a beam reducer when the optical beam propagates in the reverse direction. Furthermore, the device can be used in conjunction with another ICMT module such as a graded refractive index waveguide module (described below) to further enlarge and collimate the beam for direct coupling into an optical fiber and vice versa. It should be understood that these exemplary applications of device 1300 are intended to illustrate the uses for device 1300 and are not intended to limit the applications of other embodiments of device 1300. The device can be referred to as a “high-refractive-index-contrast -vertical-sharp-down-taper (HRC-VSDT) ICMT”.

[0184] HRC-VSDT ICMT 1300 preferably includes a tapering-down waveguiding core region occupied by Waveguide Core WC 1345. Waveguide Core WC 1345 is surrounded by Upper Waveguide Cladding UWCL 1350 above and Lower Waveguide Cladding LWCL 1310 below. The Waveguide Core WC 1345 preferably includes a small-beam input/output port SB-PT 1346, a straight waveguiding core region SWC 1347, a tapering-down waveguiding core region TDWC 1348, a straight radiation core region SRC 1351, and a large-beam output/input port LB-PT 1349. The straight waveguiding core region SWC 1347 has a length lSWC and a thickness tSWC. The tapering down waveguiding core region TDWC 1348 has a length lTDWC, a thickness tTDWCSB at the small-beam input/output side and a thickness tTDWCLB at the large-beam input/output side. The straight radiation core region SRC 1351 has a length lSRC and a thickness tSRC. The total length of the waveguide core is given by lWC=lSWC+lTDWC+lSRC. The thickness of the lower waveguide cladding LWCL 1310 is tLWCL. The thickness of the upper waveguide cladding UWCL 1350 at the small-beam input/output side is tUWCLSB and at the large-beam input-output side is tUWCLLB. The length of the upper cladding lUWCl and the length of the lower cladding lLWCL are about equal to the total length of the waveguide core lWC. The refractive index of the Waveguide Core WC 1345 is nWC. The refractive index of the Upper Waveguide Cladding LWCL 1350 is nUWCL. The refractive index of the Lower Waveguide Cladding LWCL 1310 is nLWCL. Lower waveguide cladding LWCL 1310 is formed on a substrate 1315 as will be described in more detail below. The length of the straight waveguide core lSWC and the straight radiation core lSRC are typically not very critical to the operation of the device and can be zero in some applications (i.e., with these sections absent).

[0185] For choice of refractive index, there are three options for operation for the ICMT device 1300, namely the small-refractive-index-contrast option, the medium-refractive-index-contrast option and the large-refractive-index-contrast option. For the small-refractive-index contrast option, the refractive index ratio between the refractive index of the Waveguide Core 1345 and that of the Waveguide Cladding 1350 or 1310, i.e. nWC/nUWCL or nWC/nLWCL, is assumed to be larger than 1.0 but smaller than about 1.3. That is 1.3≧nWC/nUWCL>1.0 or 1.3≧nWC/nLWCL>1.0. For the medium-refractive-index-contrast option, the refractive index ratio between the refractive index of the Waveguide Core 1345 and that of the Waveguide Cladding 1350 or 1310, i.e. nWC/nUWCL or nWC/nLWCL, is assumed to be larger than about 1.3 but smaller than about 1.5. That is 1.5≧nWC/nUWCL≧1.3 or 1.5≧nWC/nLWCL≧1.3. For the large-refractive-index-contrast option, the refractive index ratio between the refractive index of the Waveguide Core 1345 and that of the Waveguide Cladding 1350 or 1310, i.e. nWC/nUWCL or nWC/nLWCL, is assumed to be larger than about 1.5. That is nWC/nUWCL≧1.5 or nWC/nLWCL≧1.5. A short tapering length can be achieved if the relative refractive index contrast is high—in the region of either the medium-refractive-index contrast or the large-refractive-index contrast. The medium and large refractive index contrast will be referred to as the high-refractive index case.

[0186] In an exemplary device, the input/output port SB-PT 1346 is configured to receive/transmit a light beam 1341 typically having wavelength λ with a beam diameter dSB, and the output/input port LB-PT 1349 is configured to transmit/receive a light beam 1342 typically having wavelength λ with a beam diameter dLB.

[0187] (i) An Exemplary Device for High-Refractive-Index-Contrast Case

[0188] In an exemplary embodiment of device 1300 with high refractive-index contrast, the Waveguide Core WC 1345 is made up of silicon (Si) with a refractive index of nWC=3.5, the Upper Waveguide Cladding 1350 is made up of silica-titania (SiO2-TiO2) material mixture with a mixture composition to achieve a refractive index of nUWCL=1.7 or alternatively Si3N4 with a refractive index of about 1.7 can be used. The Lower Waveguide Cladding 1310 is made up of silicon dioxide (SiO2) with a refractive index of nLWCL=1.5. The thicknesses of the waveguide core are tSWC=0.3 μm, tTDWCSB=0.3 μm, and tTDWCLB=tSRC=0, by “0” it is meant that tTDWCLB=tSRC<<λ. The thicknesses of the waveguide claddings are tUWCLSB=5.0 μm, tUWCLLB=5.3 μm, and tLWCL=0.6 μm. The lengths of the waveguide core are lSWC=10 μm, lTDWC=30 μm, lSRC=10 μm, and lWC =50 μm. The lengths of the waveguide claddings are lUWCL=lLWCL=lWC=50 μm. It should be appreciated by one skilled in the art that all parameter values used in this and other exemplary embodiments are approximate and that the actual values can vary significantly. It should also be appreciated by one skilled in the art that other materials for the core and cladding of the various exemplary embodiments may be used.

[0189] (ii) General Operation of the Device.

[0190] FIG. 14 shows the results of a computer simulation of the spatial distribution of the electric field strength for light input at λ=1.5 μm after propagating into waveguide 1347, using the above exemplary parameters. The mode size at the input end was approximately 0.3 μm. After propagating for about 35 μm, it begins to expand at the point where the waveguide thickness (at 5 μm distance from the tip) is tapered down to about 0.05 microns, which is near the tip of the tapering down region. The mode then radiates at an angle from that point to a larger mode size. The mode size reaches a size of about 5 μm at 10 μm away from the tip of the taper. The compact mode transfer device thus expands the mode from about 0.3 to about 5 μm over a distance of about 50 μm. This is a much smaller distance compared with mode expansion distances provided by other prior art devices. Thus such ICMT devices according to the present invention provide a clear advantage for coupling fibers to a photonic chip relative to prior art devices.

[0191] (iii) Device Fabrication Procedures

[0192] An exemplary procedure for fabricating a HRC-VSDT-ICMT such as device 1300 will now be described with reference to FIGS. 15A-C. This procedure is given for the purpose of illustration and not limitation as other similar procedures can be used to achieve the same fabrication results, and other materials systems or device structures can be utilized to fabricate devices with the same functional capabilities.

[0193] The HRC-VSDT-ICMT type structure is fabricated according to an embodiment by starting with a Silicon-On-Insulator (SOI) wafer. For a SOI wafer, a high refractive index silicon (Si) layer 1305 having a thickness of tSWC is already made or bonded on top of a low refractive index layer of SiO2 1310 with a thickness of tLWCL. The SiO2 layer 1310 is typically either deposited on a Si substrate 1315 or thermally oxidized on the Si substrate or thermally oxidized in the Si substrate after an oxygen ion implantation process. A fabrication procedure according to one embodiment is now described below.

[0194] A photoresist layer 1320 is deposited (e.g. spin-coated) on the silicon layer 1305, as shown in FIG. 15A. A gray-scale mask 1325 is used as a mask to expose the photoresist 1320 under UV light 1330. The gray-scale mask pattern is designed so that it provides a graduated exposure level with an exposure dosage that varies from a small value to a large value that will somewhat result in a linear photoresist taper after exposure and development across a length of approximately 30 μm. The photoresist is then developed. The shape of the photoresist after exposure and development has a vertical down tapered shape that corresponds to the variation in the exposure dosage, as shown by photoresist pattern 1335 in FIG. 15B.

[0195] A dry plasma etching procedure 1340 with selectivity of 1:0.3:˜0 between photoresist and Si and SiO2 is used to etch down the Si layer vertically. Such a process is accomplished using a reactive ion etching system, or an inductively coupled plasma system, or another equivalent dry plasma system. The exemplary processing gases are SF6/O2/Cl2, as F-reactants and/or their neutrals etch Si, whereas O2 etch photoresist and S-Cl reactants and/or their neutrals inhibit the etching of SiO2. Exemplary process parameters using a reactive ion etching system are: a mixture of 30 sccm:20 sccm:20 sccm of SF6:O2:Cl2, with an RF power of 350 W, and a process pressure of 25 mTorr. This etching process transfers the down tapered pattern of the photoresist to the high-refractive-index Si layer and forms the vertically tapered down Si section 1345. It should be noted that the ease of this transfer process is dependent on the thickness tswc of the top waveguiding Si layer. Typically the starting thickness for a tapered down Si waveguide is in the range of 0.2 to 0.5 μm. Considering that the photoresist layer has a typical thickness of about 1.0 μm and that the etching process typically etches Si at a rate that is not drastically different from that for the photoresist, such a direct pattern transfer can be achieved. As the etching process can be made to etch SiO2 at a lower rate, the interface between the top Si layer 1305 and the lower cladding SiO2 1310 can be used as a natural stop during the dry etching process. It should be understood that the above process parameters are presented for purposes of illustrating a useful embodiment of the fabrication method and are not intended as a limitation on the device. For example, a variety of dry etching parameters can be used depending on the photoresist type and the quality of the SOI wafer. As is known to those skilled in the art, the end result of a dry etched structure can be achieved via various combinations of the etching parameters.

[0196] To make the glass upper cladding layer 1350, flame hydrolysis deposition, chemical vapor deposition, sputtering, Ion-Assisted-Deposition or sol-gel spin coating of dielectric material, can generally be employed to deposit the upper cladding layer 1350, shown in FIG. 15C. The TiO2-SiO2 material required can, in particular, be achieved using a sol-gel mixture of TiO2 and SiO2 precursors as is well known to those skilled in the art. The surrounding cladding, including the bottom, top and side cladding medium, can all have various refractive indices and also a spatial variation or distribution of the refractive index value (as will be discussed below), and the actual value that can be selected for this purpose can cover a wide range, for instance 1.4 to 2.5.

[0197] It should be understood that these dimensions and exemplary lengths are presented for the purposes of illustrating a useful embodiment of the device 1300 and are not intended to limit other embodiments of any exemplary device, or the device 1300. A variety of dimensions and sizes can be used, depending on the application desired, as well as the fabrication materials, processes and technologies that are employed.

[0198] Also, it should be understood that the shapes of the waveguides or the taper (for example the shapes as defined by the surfaces dividing the cladding regions and the core regions) do not generally have to be linear or in the form of straight lines and planar surfaces. Curved shapes and different waveguide dimensions may be utilized as long as they achieve the same functions such as waveguiding or optical mode size transformation with similar topological connections. This applies for all the surfaces of the waveguide structures of the various embodiments of the present invention, including the side surfaces, the top and bottom surfaces, and the input/output surfaces.

[0199] In addition, it should be understood that the substrate is used to mechanically support the waveguide structures, and can be made up of irregular shapes, or structures, or materials as long as it serves the function of providing mechanical support for the waveguide structures.

[0200] Furthermore, it should be understood that the output ports can also be used as input ports and the input ports can be used as output ports. This is due to the reciprocal nature of light propagation in passive optical devices and hence the bi-directional nature of the devices.

[0201] It should be understood to those skilled in the art that the device 1300 can be fabricated on a different substrate other than a silicon substrate. In particular, it can be fabricated directly on InP or GaAs substrates used for making semiconductor photonic devices or integrated circuits and may be fabricated directly at the input/output ports of the photonic devices by sharing the same substrate as the photonic device.

[0202] (2) Exemplary Device 2: A High-refractive-index-contrast-lateral sharp-down-taper (HRC-LSDT) ICMT Device

[0203] FIG. 16 illustrates a second general embodiment of an ICMT device 1400 employing a lateral down-tapering beam enlarger with high refractive-index contrast between the enlarger core region and its surrounding cladding region. The device performs as a one dimensional beam-size enlarging element in the lateral direction for a propagating optical beam and can, for example, enlarge an optical beam from a semiconductor waveguide with a beam size as small as λ/7.5 (or 0.2 μm for λ=1.5 μm) to a large optical beam such as one with a beam size close to that of an optical fiber. The device is not limited to use as a beam enlarger but can also function as a beam reducer when the optical beam propagates in the reverse direction. Furthermore, the device can be used in conjunction with another ICMT module such as a graded-refractive-index waveguide module to further enlarge and collimate the beam for direct coupling into an optical fiber. It should be understood that these exemplary applications of device 1400 are intended to illustrate the uses for device 1400 and are not intended to limit the application of other embodiments of device 1400 to these examples. The device can be referred to as a “high-refractive-index-contrast-lateral-sharp-down-taper (HRC-LSDT) ICMT”.

[0204] The present HRC-LSDT ICMT preferably includes a tapering-down waveguiding core region occupied by Waveguide Core WC 1450, Waveguide Core WC 1450 is surrounded on both sides by Waveguide Cladding WCL 1460. Waveguide Core 1450 preferably includes a small-beam input/output port SB-PT 1451, a straight waveguiding core region SWC 1452, a tapering-down waveguiding core region TDWC 1453, a straight radiation core region SRC 1454, and a large-beam input/output port LB-PT 1455. The straight waveguiding core region SWC 1452 has a length lSWC and a width of wSWC. The tapering down waveguiding core region TDWC 1453 has a length of lTDWC, a width of wTDWCSB at the small-beam input/output side, and a width wTDWCLB at the large-beam input/output side. The straight radiation core region SRC 1454 has a length of lSRC and a width of wSRC. The total length of the waveguide core is given by lWC=lSWC+lTDWC+lSRC. The width of the waveguide cladding WCL 1460 on both sides of the waveguide core WC 1450 is wWCLSB at the small beam input/output side, and is wWCLLB at the large beam side. The length of the waveguide cladding WCL 1460 lWCL is about equal to the total length of the waveguide core lWC. The refractive index of the Waveguide Core WC 1450 is nWC. The refractive index of the Waveguide Cladding WCL 1460 is wWCL. The length of the straight waveguide core lswc and the straight radiation core lSRC are typically not very critical to the operation of the device and can be zero in some applications (i.e. with these sections absent).

[0205] For choice of refractive index, there are three options for the operation of the ICMT device 1400, namely the small-refractive-index-contrast option, the medium-refractive-index-contrast option and the large-refractive-index-contrast option. For the small-refractive-index-contrast option, the refractive index ratio between the refractive index of the Waveguide Core 1450 and that of the Waveguide Cladding 1460 i.e. nWC/nWCL, is assumed to be larger than 1.0 but smaller than 1.3. That is, 1.3≧nWC/nWCL≧1.0. For the medium-refractive-index-contrast option, the refractive index ratio between the refractive index of the Waveguide Core 1450 and that of the Waveguide Cladding 1460 i.e. nWC/nWCL, is assumed to be larger than 1.3 but smaller than 1.5. That is, 1.5≧nWC/nWCL≧1.3. For the large-refractive-index-contrast option, the refractive index ratio between the refractive index of the Waveguide Core 1450 and that of the Waveguide Cladding 1460 i.e. nWC/nWCL, is assumed to be larger than 1.5. That is, nWC/nWCL≧1.5. A short tapering length can be achieved if the relative refractive index contrast is HIGH—in the region of either the medium-refractive-index contrast or the large-refractive-index contrast. The medium and large refractive index contrast will be referred to as the high-refractive index case.

[0206] In an exemplary device, the input/output port SB-PT 1451 is configured to receive/transmit a light beam 1461 typically having wavelength λ with a beam width WSB, and the input/output port LB-PT 1455 is configured to receive/transmit a light beam 1465 typically having wavelength λ with a beam width wLB.

[0207] (i) An Exemplary Device for High-Refractive-Index-Contrast Case

[0208] In an exemplary embodiment of device 1400 in the high-refractive-index-contrast operation region, the Waveguide Core WC 1450 is made up of silicon (Si) with a refractive index of nWC=3.5, the Waveguide Cladding WCL 1460 is made up of silica-titania (SiO2-TiO2) material mixture with a mixture composition to achieve a refractive index of nUWCL=1.7 or alternatively Si3N4 with a refractive index of about 1.7 can be used. The widths of the waveguide core are wSWC=0.3 μm, wTDWCSB=0.3 μm, and wTDWCLB=wSRC=0 μm. The widths of the waveguide claddings are wWCLSB=4.85 μm and wWCLLB=5.0 μm. The lengths of the waveguide core regions are lSWC=0 μm, lTDWC=30 μm, lSRC=26 μm, and lWC=56 μm. The length of the waveguide cladding is lWCL=56 μm. It should be appreciated by one skilled in the art that all parameter values used in this and other exemplary embodiments are approximate and that the actual values can vary significantly.

[0209] (ii) General Operation of the Device

[0210] FIG. 17 shows the results of a computer simulation of the spatial distribution of the electric field strength for the light input at λ=1.5 μm after propagating into waveguide 1452. The mode size at the input end was 0.3 μm. After propagating for 25 μm, it begins to expand at the point where the waveguide thickness (at 5 μm from the tip) is tapered down to 0.05 microns, which is near the tip of the tapering down region. The mode then radiates at an angle from that point to a larger mode size. The mode size reaches a size of about 10 μm at 10 μm away from the tip of the taper.

[0211] (iii) Device Fabrication Procedures

[0212] An exemplary procedure for fabricating HRC-LSDT-ICMT device 1400 will now be described with reference to FIGS. 18A-D. This procedure is given for the purpose of illustration and not limitation, as there are other procedures that can be used to achieve the same fabrication results and other materials systems or device structures that can be utilized to fabricate devices with the same functional capabilities.

[0213] The HRC-LSDT ICMT can be fabricated by starting with a Silicon-On-Insulator (SOI) wafer. For a SOI wafer, a high refractive index silicon (Si) layer 1410 having a thickness of t1 is already made or bonded on top of a low refractive index layer of SiO2 1415 with a thickness of t2. The SiO2 layer 1415 is typically either deposited on a Si substrate 1420 or thermally oxidized on the Si substrate or thermally oxidized in the Si substrate after an oxygen ion implantation process. A fabrication procedure according to one embodiment is described below:

[0214] A UV or e-beam resist layer 1405 is first spin-coated on the Si layer 1410, as shown in FIG. 18B. A mask 1425 with a laterally tapered down/narrow mask pattern 1430 as shown in FIG. 18A is used as a mask to expose the photoresist 1405 under UV light or e-beam 1435. The photoresist is then developed. The shape of the photoresist after exposure and development has a lateral down-tapered shape as shown by photoresist pattern 1440 in FIG. 18B and FIG. 18C.

[0215] A dry plasma etching procedure 1445 that selectively etches Si but not the photoresist 1440 or the SiO2 1415 is used. Such a process can be accomplished using a reactive ion etching system, or an inductively coupled plasma system, or any dry plasma system. The exemplary processing gases are SF6/Cl2, as F-reactants and/or their neutrals etch Si, and S-Cl reactants and/or their neutrals inhibit the etching of SiO2. Exemplary process parameters using a reactive ion etching system are: a mixture of approximately 30 sccm:20 sccm of SF6:Cl2, with an RF power of 200 W, and a process pressure of about 25 mTorr. This etching process transfers the laterally down tapered pattern of the photoresist 1440 to the high-refractive-index Si layer and forms the laterally tapered down Si section 1450. It should be noted that this transfer process is performed with the starting thickness for the Si waveguide layer in the range of 0.2 to 0.5 μm, and the photoresist layer has a typical thickness of about 1.0 μm. As the etching process can be made to etch SiO2 at a lower rate, the interface between the top Si layer 1410 and the lower cladding SiO2 1415 can be used as a natural stop during the dry etching process. A top view of the result of the process is shown in FIG. 18D. It should be understood that the above process parameters are presented for purposes of illustrating a useful embodiment of the fabrication method and are not intended to limit other embodiments of the method. For example, a variety of dry etching parameters can be used depending on the photoresist type and the quality of the SOI wafer. As is known to those skilled in the art, the end result of a dry etched structure can be achieved via various combinations of the etching parameters. It should, also be noted that due to the limitation in the smallest feature size of UV based photolithography, e-beam lithography might be necessary or at least it might be required to form the tip part of the taper.

[0216] To make the glass cladding 1460, flame hydrolysis deposition, chemical vapor deposition, sputtering, Ion-Assisted-Deposition, or sol-gel spin coating of dielectric material, is employed to deposit the cladding regions 1460 shown in FIG. 16. The TiO2-SiO2 material required can, in particular, be achieved using a sol-gel mixture of TiO2 and SiO2 precursors as is well known to those skilled in the art. Note that the surrounding cladding, including the bottom, top and side cladding medium, can all have various fixed or spatially varying or distributed refractive indices and also a spatial variation or distribution of the refractive index value (as described below), and the actual value that can be selected for this purpose can cover a wide range of 1.4 to 2.5.

[0217] It should be understood that these dimensions and exemplary lengths are presented for the purposes of illustrating a useful embodiment of the device 1400 and are not intended to limit other embodiments of any exemplary device, or the device 1400. A variety of dimensions and sizes can be used, depending on the application desired, as well as the fabrication materials, processes and technologies that are employed.

[0218] Also, it should be understood that the shapes of the waveguides or the taper (for example the shapes as defined by the surfaces dividing the cladding regions and the core regions) do not generally have to be linear or in the form of straight lines and planar surfaces. Curved shapes and different waveguide dimensions may be utilized as long as they achieve the same functions such as waveguiding or optical mode size transformation with similar topological connections. This applies for all the surfaces of the waveguide structures of the present invention, including the side surfaces, the top and bottom surfaces, and the input/output surfaces

[0219] In addition, it should be understood that the substrate is used to mechanically support the waveguide structures, and can be made up of irregular shapes, or structures, or materials as long as it serves the function of providing mechanical support for the waveguide structures.

[0220] Furthermore, it should be understood that the output ports can also be used as input ports and the input ports can be used as output ports. This is due to the reciprocal nature of light propagation in passive optical devices and hence the bi-directional nature of the devices.

[0221] It should be understood to those skilled in the art that the device 1400 can be fabricated on a different substrate other than a silicon substrate. In particular, it can be fabricated directly on InP or GaAs substrates used for making semiconductor photonic devices or integrated circuits and may be fabricated directly at the input/output ports of the photonic devices by sharing the same substrate as the photonic device.

[0222] (3) Exemplary Device 3: A High-refractive-index-contrast-lateral gradual-up-taper (HRC-LGUT) ICMT Device

[0223] FIG. 19 illustrates a third general embodiment of an ICMT device 1500 employing lateral tapering up beam enlarger with high refractive index contrast between the enlarger core region and its surrounding cladding region. The device performs as a one dimensional beam-size enlarging element in the lateral direction for a propagating optical beam and can for example enlarge an optical beam from a semiconductor waveguide with a beam size as small as λ/7.5 (or 0.2μm for λ=1.5 μm) to a large optical beam such as one with a beam size close to that of an optical fiber. The device is not limited to use as a beam enlarger but can also function as a beam reducer when the optical beam propagates in the reverse direction. Furthermore, the device can be used in conjunction with another ICMT module such as a step-index waveguide module as will be described below to further collimate the beam for direct coupling into an optical fiber. It should be understood that these exemplary applications of device 1500 are intended to illustrate the uses for device 1500 and are not intended to limit the application of other embodiments of device 1500. The device can be referred to as a “high-refractive-index-contrast-lateral-gradual-up-taper (HRC-LGUT) ICMT”, and the tapering up is in the lateral direction.

[0224] The present HRC-LGUT ICMT preferably includes a tapering-up waveguiding core region occupied by Waveguide Core WC 1550. Waveguide Core WC 1550 is surrounded on both sides by Waveguide Cladding WCL 1560. Waveguide Core 1550 preferably includes a small-beam input/output port SB-PT 1551, a straight waveguiding core region SWC 1552, a tapering-up waveguiding core region TUWC 1553, a straight radiation core region SRC 1554, and a large-beam input/output port LB-PT 1555. The straight waveguiding core region SWC 1552 has a length lSWC and a width of wSWC. The tapering up waveguiding core region TUWC 1553 has a length of lTUWC, a width of wTUWCSB at the small-beam input/output side, and a width wTUWCLB at the large-beam input/output side. The straight radiation core region SRC 1554 has a length of lSRC and a width of wSRC. The total length of the waveguide core is given by lWC=lSWC+lTUWC+lSRC. The width of the waveguide cladding WCL 1560 on both sides of the waveguide core WC 1550 is wWCLSB at the small beam input/output side, and is wWCLLB at the large beam side. The length of the waveguide cladding WCL 1560 lWCL is about equal to the total length of the waveguide core lWC. The refractive index of the Waveguide Core WC 1550 is nWC. The refractive index of the Waveguide Cladding WCL 1560 is nWCL. The length of the straight waveguide core lSWC and the straight radiation core lSRC are typically not very critical to the operation of the device and can be zero in some applications (i.e. with these sections absent).

[0225] There are three options for the refractive index contrast of the ICMT device 1500, namely the small-refractive-index-contrast option, the medium-refractive-index-contrast option and the large-refractive-index-contrast option. For the small-refractive-index-contrast option, the refractive index ratio between the refractive index of the Waveguide Core 1550 and that of the Waveguide Cladding 1560 i.e. nWC/nWCL, is assumed to be larger than 1.0 but smaller than about 1.3. That is 1.3≧nWC/nWCL≧1.0. For the medium-refractive-index-contrast option, the refractive index ratio between the refractive index of the Waveguide Core 1550 and that of the Waveguide Cladding 1560 i.e. nWC/nWCL, is assumed to be larger than about 1.3 but smaller than about 1.5. That is 1.5≧nWC/nWCL≧1.3. For the large-refractive-index-contrast option, the refractive index ratio between the refractive index of the Waveguide Core 1550 and that of the Waveguide Cladding 1560 i.e. nWC/nWCL, is assumed to be larger than about 1.5. That is nWC/nWCL≧1.5. A short tapering length can be achieved if the relative refractive index contrast is HIGH—in the region of either the medium-refractive-index contrast or the large-refractive-index contrast. In an exemplary device, the input/output port SB-PT 1551 is configured to receive/transmit a light beam 1561 typically having wavelength λ with a beam width wSB, and the input/output port LB-PT 1555 is configured to receive/transmit a light beam 1565 typically having wavelength λ with a beam width wLB. The medium and large refractive index contrast will be referred to as the high-refractive index case.

[0226] (i) An Exemplary Device for High-Refractive-Index-Contrast Case

[0227] In an exemplary embodiment of device 1500 with high-refractive-index-contrast, the Waveguide Core WC 1550 is made up of silicon (Si) with a refractive index of nWC=3.5, the Waveguide Cladding WCL 1560 is made up of silica-titania (SiO2-TiO2) material mixture with a mixture composition to achieve a refractive index of nUWCL=1.7 or alternatively Si3N4 with a refractive index of about 1.7 can be used. T with a refractive index of nWCL=1.7. The widths of the waveguide core are wSWC=0.3 μm, wTUWCSB=0.3 μm, and wTUWCLB=wSRC=10 μm. The widths of the waveguide claddings are wWCLSB=6.85 μm and wWCLLB=2 μm. The lengths of the waveguide core regions are lSWC=10 μm, lTUWC=100 μm, lSRC=10 μm, and lWC=120 μm. The length of the waveguide cladding is lWCL=120 μm. It should be appreciated by one skilled in the art that all parameter values used in this and other exemplary embodiments are approximate and that the actual values can vary significantly.

[0228] (ii) General Operation of the Device

[0229] FIG. 20 shows the results of a computer simulation of the spatial distribution of the electric field strength for the light input at λ=1.5 μm after propagating into waveguide 1552. The mode size at the input end was 0.3 μm. After propagating for 10 μm, it begins to expand at the point where the waveguide core tapers up. The mode then enlarges following the up-tapering waveguide core section to a larger mode size. The mode size reaches a size of about 10 μm at the end of the up-taper.

[0230] (iii) Device Fabrication Procedures

[0231] An exemplary procedure for fabricating an LGUT-ICMT device 1500 will now be described with reference to FIGS. 21A-E. This procedure is given for the purpose of illustration and not limitation, as there are other procedures that can be used to achieve the same fabrication results and other materials systems or device structures that can be utilized to fabricate devices with the same functional capabilities.

[0232] It should be noted that the fabrication steps here are very similar to those described for the laterally tapered down case. In fact, the present structure is even easier to fabricate because e-beam lithography is not required and hence the cost is even lower. The HRC-LGUT ICMT type structure can be fabricated by starting with a Silicon-On-Insulator (SOI) wafer that can be fabricated via a commercial process known to those skilled in the art. For a SOI wafer, a high refractive index silicon (Si) layer 1510 having a thickness of t1 is already made or bonded on top of a low refractive index layer of SiO2 1515 with a thickness of t2, as shown in FIG. 21A. The SiO2 layer 1515 is typically either deposited on a Si substrate 1520 or thermally oxidized on the Si substrate or thermally oxidized in the Si substrate after an oxygen ion implantation process. The fabrication procedure according to one embodiment is now described below.

[0233] A photoresist layer 1505 is first spin-coated on the Si layer 1510, as shown in FIG. 21A. A mask 1525 with a laterally tapered up mask pattern 1530, shown in FIG. 21B, is used as a mask to expose the photoresist 1505 under UV light 1535. The photoresist is then developed. The shape of the photoresist after exposure and development has a lateral up tapered shape as shown by photoresist pattern 1540 in FIG. 21D.

[0234] A dry plasma etching procedure 1545 that selectively etches Si but not the photoresist 1540 or the SiO2 1515 can be used, as shown in FIG. 21C. Such an etch process is accomplished using a reactive ion etching system, or an inductively coupled plasma system, or any dry plasma system. The exemplary processing gases are SF6/Cl2, as F-reactants and/or their neutrals etch Si, and S-Cl reactants and/or their neutrals inhibit the etching of SiO2. Exemplary process parameters using a reactive ion etching system are: a mixture of 30 sccm:20 sccm of SF6:Cl2, with an RF power of 200 W, and a process pressure of 25 mTorr. This etching process transfers the laterally up tapered pattern of the photoresist 1540 to the high-refractive-index Si layer and forms the laterally up-tapered Si section 1550. It should be noted that this transfer process is possible because the starting thickness of the Si waveguide layer is in the range of 0.2 to 0.5 μm, and the photoresist layer has a typical thickness of about 1.0 μm. As the etching process can be made to etch SiO2 at a lower rate, the interface between the top Si layer 1510 and the lower cladding SiO2 1515 can be used as a natural stop during the dry etching process. It should be understood that the above process parameters are presented for purposes of illustrating a useful embodiment of the fabrication method and are not intended to limit other embodiments of the method. For example, a variety of dry etching parameters can be used depending on the photoresist type and the quality of the SOI wafer. As is known to those skilled in the art, the end result of a dry etched structure can be achieved via various combinations of the etching parameters.

[0235] To make the glass cladding 1560, flame hydrolysis deposition, chemical vapor deposition, sputtering, Ion-Assisted-Deposition, or sol-gel spin coating of dielectric material, can generally be employed to deposit the cladding regions 1560 shown in FIG. 19. The TiO2-SiO2 material required can, in particular, be achieved using a sol-gel mixture of TiO2 and SiO2 precursors as is well known to those skilled in the art. Note that the surrounding cladding, including the bottom, top and side cladding medium, can all have various refractive indices and also a spatial variation or distribution of the refractive index value (as described below), and the actual value that can be selected for this purpose can cover a wide range, for instance 1.4 to 2.5.

[0236] It should be understood that these dimensions and exemplary lengths are presented for the purposes of illustrating a useful embodiment of the device 1500 and are not intended to limit other embodiments of any exemplary device, or the device 1500. A variety of dimensions and sizes can be used, depending on the application desired, as well as the fabrication materials, processes and technologies that are employed.

[0237] Also, it should be understood that the shapes of the waveguides or the taper (for example the shapes as defined by the surfaces dividing the cladding regions and the core regions) do not generally have to be linear or in the form of straight lines and planar surfaces. Curved shapes and different waveguide dimensions may be utilized as long as they achieve the same functions such as waveguiding or optical mode size transformation with similar topological connections. This applies for all the surfaces of the waveguide structures of the present invention, including the side surfaces, the top and bottom surfaces, and the input/output surfaces.

[0238] In addition, it should be understood that the substrate is used to mechanically support the waveguide structures, and can be made up of irregular shapes, or structures, or materials as long as it serves the function of providing mechanical support for the waveguide structures.

[0239] Furthermore, it should be understood that the output ports can also be used as input ports and the input ports can be used as output ports. This is due to the reciprocal nature of light propagation in passive optical devices and hence the bi-directional nature of the devices.

[0240] It should be understood to those skilled in the art that the device 1500 can be fabricated on a different substrate other than a silicon substrate. In particular, it can be fabricated directly on InP or GaAs substrates used for making semiconductor photonic devices or integrated circuits and may be fabricated directly at the input/output ports of the photonic devices by sharing the same substrate as the photonic device.

[0241] (4) Exemplary Device 4: A Vertical Sharp-down-taper and lateral Gradual-up-taper (HRC-VSDT×LGUT) ICMT Device

[0242] FIGS. 22A-B illustrates a fourth general embodiment of an ICMT device 1600 including a lateral gradual up-tapered and vertical sharp down-tapered beam transformer with high refractive index contrast between the enlarger core region and its surrounding cladding region. The device can perform as a two dimensional beam-size enlarging element in both the lateral and the vertical directions for a propagating optical beam and can, for example, enlarge an optical beam from a semiconductor waveguide with a beam size as small as λ/7.5 (or 0.2 μm for λ=1.5 μm) to a large optical beam such as one with a beam size more than five times larger. The device is not limited to use as a beam enlarger but can also function as a beam reducer when the optical beam propagates in the reverse direction. Furthermore, the device can be used other ICMT modules such as a lateral step-index waveguide module and a vertical graded index waveguide module as will be discussed below to further collimate the beam for direct coupling into an optical fiber. It should be understood that these exemplary applications of device 1600 are intended to illustrate the uses for device 1600 and are not intended to limit the applications of other embodiments of device 1600. The device can be referred to as a “high-refractive-index-contrast-vertical sharp-down-taper and lateral gradual-up-taper ICMT” (HRC-VSDT×LGUT ICMT).

[0243] The present HRC-VSDT×LGUT ICMT preferably includes a laterally up-tapered and vertically down-tapered waveguiding core region occupied by Waveguide Core WC 1650. When viewed from the top, Waveguide Core WC 1650 is surrounded on both sides by Side Waveguide Cladding SWCL 1670. Waveguide Core 1650 preferably includes a lateral small-beam input/output port LSB-PT 1671, a laterally straight waveguiding core region LSWC 1672, a laterally tapering-up waveguiding core region LTUWC 1673, a laterally straight radiation core region LSRC 1674, and a lateral large-beam input/output port LLB-PT 1675. The laterally straight waveguiding core region LSWC 1672 has a length lLSWC and a width of wLSWC. The laterally tapering up waveguiding core region LTUWC 1673 has a length of lLTUWC, a lateral width of wLTUWCSB at the small-beam input/output side, and a width wLTUWCLB at the large-beam input/output side. The laterally straight radiation core region LSRC 1674 has a length of lLSRC and a width of wLSRC. The total length of the waveguide core when viewed from the top is given by lWC=lLSWC+lLTUWC+lLSRC. The width of the side waveguide cladding SWCL 1670 on both sides of the waveguide core WC 1650 is wSWCLSB at the small beam input/output side, and is wSWCLLB at the large beam side. The length of the side waveguide cladding SWCL 1670 lSWCL is about equal to the total length of the waveguide core lWC. The length of the straight waveguide core lLSWC and the straight radiation core lLSRC. are typically not very critical to the operation of the device and can be zero in some applications (i.e., with these sections absent).

[0244] When viewed from the side, Waveguide Core WC 1650 is surrounded at the bottom by Lower Waveguide Cladding LWCL 1615, and at the top by Upper Waveguide Cladding UWCL 1690. Waveguide Core 1650 preferably includes a vertical small-beam input/output port VSB-PT 1691, a vertically straight waveguiding core region VSWC 1692, a vertically tapering-down waveguiding core region VTDWC 1693, a vertically straight radiation core region VSRC 1694, and a vertical large-beam input/output port VLB-PT 1695. The vertically straight waveguiding core region VSWC 1692 has a length lVSWC and a thickness of tVSWC. The vertically tapering down waveguiding core region VTDWC 1693 has a length of lVTDWC, a vertical thickness of tVTDWCSB at the small-beam input/output side, and a vertical thickness of tVTDWCLB at the large-beam input/output side. The vertically straight radiation core region VSRC 1694 has a length of lVSRC and a thickness of tVSRC. The total length of the waveguide core when viewed from the side is given by lWC=lVSWC+lVTDWC+lVSRC. The thickness of the lower waveguide cladding LWCL 1615 is tLWCL. The thickness of the upper waveguide cladding UWCL 1690 at the small-beam input/output side is tUWCLSB and at the large-beam input-output side is tUWCLLB. The length of the upper cladding lUWCL and the length of the lower cladding lLWCL are about equal to the total length of the waveguide core lWC. The length of the straight waveguide core lLSWC and the straight radiation core lLSRC are typically not very critical to the operation of the device and can be zero in some applications (i.e., with these sections absent).

[0245] The refractive index of the Waveguide Core WC 1650 is nWC. The refractive index of the Side Waveguide Cladding SWCL 1670 is nSWCL. The refractive index of the Lower Waveguide Cladding LWCL 1615 is nLWCL. The refractive index of the Upper Waveguide Cladding UWCL 1690 is nUWCL.

[0246] There are three options for the refractive index of the ICMT device 1600, namely the small-refractive-index-contrast option, the medium-refractive-index-contrast option and the large-refractive-index-contrast option. For the small-refractive-index-contrast option, the refractive index ratio between the refractive index of the Waveguide Core 1650 and that of the Waveguide Claddings 1615/1690/1670 i.e. nWC/nLWCL, nWC/nUWCL, nWC/nSWCL, is assumed to be larger than 1.0 but smaller than about 1.3. That is 1.3≧nWC/nLWCL, nWC/nUWCL, nWC/nSWCL, ≧1.0. For the medium-refractive-index-contrast option, the refractive index ratio between the refractive index of the Waveguide Core 1650 and that of the Claddings 1615/1690/1670 i.e. nWC/nLWCL, nWC/nUWCL, nWC/nSWCL, is assumed to be larger than 1.3 but smaller than about 1.5. That is 1.5≧nWC/nLWCL, nWC/nUWCL, nWC/nSWCL, ≧1.3. For the large-refractive-index-contrast option, the refractive index ratio between the refractive index of the Waveguide Core 1650 and that of the Claddings 1615/1690/1670 i.e. nWC/nLWCL, nWC/nUWCL, nWC/nSWCL, is assumed to be larger than about 1.5. That is nWC/nLWCL, nWC/nUWCL, nWC/nSWCL, ≧1.5. A short tapering length can be achieved if the relative refractive index contrast is high—in the region of either the medium-refractive-index contrast or the large-refractive-index contrast. The medium and large refractive index contrast will be referred to as the high-refractive index case.

[0247] In an exemplary device, the input/output port LSB-PT/VSB-PT 1671/1691 is configured to receive/transmit a light beam 1678/1698 typically having wavelength λ with a lateral beam width wLSB, and a vertical beam width wVSB. The input/output port LLB-PT/VLB-PT 1675/1695 is configured to receive/transmit a light beam 1679/1699 typically having wavelength λ with a lateral beam width of wLLB, and a vertical beam width of wVLB.

[0248] (i) An Exemplary Device

[0249] In an exemplary embodiment of device 1600, the Waveguide Core WC 1650 is made up of silicon (Si) with a refractive index of nWC=3.5, the Lower Waveguide Cladding LWCL 1615 is made up of silica (SiO2) with a refractive index of nLWCL=1.5, and the Upper and Side Waveguide Claddings UWCL/SWCL are made of silica-titania (SiO2-TiO2) material mixture with a mixture composition to achieve a refractive index of nUWCL=1.7 or alternatively Si3N4 with a refractive index of about 1.7 can be used.

[0250] When viewed from the top, the lateral widths of the waveguide core are wLSWC=0.3 μm, wLTUWCSB=0.3 μm, and wLTUWCLB=wLSRC=10 μm. The widths of the side waveguide claddings are wSWCLSB=4.85 μm and wSWCLLB=0 μm. The lengths of the waveguide core regions are lLSWC=10 μm, lLTUWC=100 μm, lLSRC=10 μm, and lWC=120 μm. The length of the side waveguide cladding is lSWCL=120 μm.

[0251] When viewed from the side, the vertical thicknesses of the waveguide core are tVSWC=0.3 μm, tVTDWCSB=0.3 μm, and tVTDWCLB=tVSRC=0. The thicknesses of the upper and lower waveguide claddings are tUWCLSB=9.7 μm, tUWCLLB=10 μm, and tLWCL=0.6 μm. The lengths of the waveguide core regions are lVSWC=80 μm, lVTDWC=30 μm, lVSRC=0 μm, and lWC=110 μm. The lengths of the upper and lower waveguide claddings are lUWCL=lLWCL=lWC=120 μm. It should be appreciated by one skilled in the art that all parameter values used in this and other exemplary embodiments are approximate and that the actual values can vary significantly.

[0252] (ii) General Operation of the Device

[0253] FIG. 23 shows the result of a computer simulation of the spatial distribution of the electric field strength in the vertical and lateral directions for the light input at λ=1.5 μm after propagating into waveguide 1672/1692. The mode size at the input end was 0.3 μm in both the vertical and lateral directions.

[0254] When viewed from the side, the light beam begins to expand at the point where the waveguide thickness (at 5 μm distance from the tip) is tapered down to 0.05 microns, which is near the tip of the tapering down region. The mode then radiate at an angle from that point to a larger mode size. The mode size reaches a size of about 5 μm at 10 μm away from the tip of the taper.

[0255] When viewed from the top, the light beam begins to expand at the point where the waveguide core tapers up laterally. The mode then enlarges following the lateral up-tapering waveguide core section 1673 to a larger mode size. The mode size reaches a size of about 10 μm at the end of the up-taper.

[0256] (iii) Device Fabrication Procedures

[0257] An exemplary procedure for fabricating the HRC-VSDT×LGUT ICMT device 1600 will now be described with reference to FIGS. 24A-F. This procedure is given for the purpose of illustration and not limitation, as there are other procedures that can be used to achieve the same fabrication results and other materials systems or device structures that can be utilized to fabricate devices with the same functional capabilities.

[0258] The HRC-VSDT×LGUT ICMT is fabricated by starting with a Silicon-On-Insulator (SOI) wafer. For a SOI wafer, a high refractive index silicon (Si) layer 1610 having a thickness of t1 is already made or bonded on top of a low refractive index layer of SiO2 1615 with a thickness of t2, as illustrated in FIG. 24A. The SiO2 layer 1615 is typically either deposited on a Si substrate 1620 before wafer bonding or thermally oxidized on the Si substrate before wafer bonding or thermally oxidized in the Si substrate after an oxygen ion implantation process. The fabrication procedure according to one embodiment is now described below:

[0259] A photoresist layer 1605 is first spin-coated on the Si layer 1610, as shown in FIG. 24A. A mask 1625 with a pattern 1630 as shown in FIG. 24B is used to expose the photoresist 1605 under UV light 1635. The mask pattern 1630 is gray scaled in the longitudinal direction and laterally tapered up in the lateral direction. The gray-scale mask pattern is designed so that it gives a graduated exposure level with exposure dosage that varies from a small value to a large value across a length of 30 μm. The photoresist is then developed. The shape of the photoresist after exposure and development is a vertical down tapered shape that corresponds to the variation in the exposure dosage and a laterally tapered up shape as shown by photoresist pattern 1640 in FIG. 24C and FIG. 24D.

[0260] A dry plasma etching procedure 1645 with selectivity of 1:0.3:˜0 between photoresist and Si and SiO2 is used to etch down the Si layer vertically. Such a process is accomplished using a reactive ion etching system, or an inductively coupled plasma system, or any dry plasma system. The exemplary processing gases are SF6/O2/Cl2, as F-reactants and/or their neutrals etch Si, whereas O2 etches photoresist and S-Cl reactants and/or their neutrals inhibit the etching of SiO2. Exemplary process parameters using a reactive ion etching system are: a mixture of 30 sccm:20 sccm:20 sccm of SF6:O2:Cl2, with an RF power of 350 W, and a process pressure of 25 mTorr. This etching process transfers the laterally up tapered and vertically down tapered pattern of the photoresist 1640 to the high-refractive-index Si layer and forms the laterally tapered up and vertically tapered down Si section 1650. The resulting structure is shown in FIG. 24E and 24F. It should be noted that the easiness of this transfer process is dependent on the thickness t1 of the top waveguiding Si layer. Typically the starting thickness for such a Si waveguide should be in the range of 0.2 to 0.5 μm. Considering that the photoresist layer has a typical thickness of about 1.0 μm and that the etching process typically etches Si at a rate that is not drastically different from that for the photoresist, such a direct pattern transfer can be achieved. As the etching process can be made to etch SiO2 at a much slower rate, the interface between the top Si layer 1610 and the lower cladding SiO2 1615 can be used as a natural stop during the dry etching process. It should be understood that the above process parameters are presented for purposes of illustrating a useful embodiment of the fabrication method and are not intended to limit other embodiments of the method. For example, a variety of dry etching parameters can be used depending on the photoresist type and the quality of the SOI wafer. As is known to those skilled in the art, the end result of a dry etched structure can be achieved via various combinations of the etching parameters.

[0261] To make the glass cladding, flame hydrolysis deposition, chemical vapor deposition, sputtering, Ion-Assisted-Deposition, or sol-gel spin coating of dielectric material, can generally be employed to deposit the top and side cladding regions 1690/1670 shown in FIGS. 22A-B. The TiO2-SiO2 material required can, in particular, be achieved using a sol-gel mixture of TiO2 and SiO2 precursors as is well known to those skilled in the art. Note that the surrounding cladding, including the bottom, top and side cladding medium, can all have various refractive indices and also a spatial variation or distribution of the refractive index value (described below), and the actual value that can be selected for this purpose can cover a wide range, e.g., 1.4 to 2.5.

[0262] It should be understood that these dimensions and exemplary lengths are presented for the purposes of illustrating a useful embodiment of the device 1600 and are not intended to limit other embodiments of any exemplary device, or the device 1600. A variety of dimensions and sizes can be used, depending on the application desired, as well as the fabrication materials, processes and technologies that are employed.

[0263] Also, it should be understood that the shapes of the waveguides or the taper (for example the shapes as defined by the surfaces dividing the cladding regions and the core regions) do not generally have to be linear or in the form of straight lines and planar surfaces. Curved shapes and different waveguide dimensions may be utilized as long as they achieve the same functions such as waveguiding or optical mode size transformation with similar topological connections. This applies for all the surfaces of the waveguide structures of the present invention, including the side surfaces, the top and bottom surfaces, and the input/output surfaces.

[0264] In addition, it should be understood that the substrate is used to mechanically support the waveguide structures, and can be made up of irregular shapes, or structures, or materials as long as it serves the function of providing mechanical support for the waveguide structures.

[0265] Furthermore, it should be understood that the output ports can also be used as input ports and the input ports can be used as output ports. This is due to the reciprocal nature of light propagation in passive optical devices and hence the bi-directional nature of the devices.

[0266] It should be understood to those skilled in the art that the device 1600 can be fabricated on adifferent substrate other than a silicon substrate. In particular, it can be fabricated directly on InP or GaAs substrates used for making semiconductor photonic devices or integrated circuits and may be fabricated directly at the input/output ports of the photonic devices by sharing the same substrate as the photonic device.

[0267] (5) Exemplary Device 5: A Lateral-step-refractive-index and Vertical-step-refractive-index (LSRIN×VSRIN) ICMT Device

[0268] FIG. 25 illustrates a fifth general embodiment of an ICMT device 1700 including a vertical and lateral step refractive index distribution to form a step index channel waveguide with refractive index difference between the core region and its surrounding cladding region. The device can perform as a two dimensional beam-size collimating element in both the lateral and the vertical directions for a propagating optical beam and can, for example, confine an optical beam that has already been expanded or enlarged from a small semiconductor waveguide using devices such as any of exemplary devices 1-4. The device is not limited to use as a beam collimator but can also function as a waveguide to direct a light beam to a beam reducer when the optical beam propagates in the reverse direction. Furthermore, the device can be used for direct light beam coupling into an optical fiber. It should be understood that these exemplary applications of device 1700 are intended to illustrate the uses for device 1700 and are not intended to limit the applications of other embodiments of device 1700. The device can be referred to as a “low-refractive-index-contrast-vertical-step-refractive-index and lateral-step-refractive-index (LRC-LSRIN×VSRIN) ICMT”.

[0269] The present LRC-LSRIN×VSRIN ICMT preferably includes a waveguiding core region occupied by Waveguide Core WC 1730. Waveguide Core WC 1730 is surrounded at the bottom by Lower Waveguide Cladding LWCL 1710, on the top by Upper Waveguide Cladding UWCL 1745 and on both sides by Side Waveguide Cladding SWCL 1720. Waveguide Core 1730 preferably includes a front beam input/output port FB-PT 1731, a straight waveguiding core region SWC 1730, and a back beam input/output port BB-PT 1732. The straight waveguiding core region SWC 1730 has a length lSWC, a width of wSWC and a thickness of tSWC. Lower Waveguide Cladding LWCL 1710 has a length of lLWCL, a width of wLWCL and a thickness of tLWCL. Upper Waveguide Cladding UWCL 1745 has a length of lUWCL, a width of wUWCL and a thickness of tUWCL. The two side waveguide claddings SWCL 1720 have a length of lSWCL, a width of wSWCL and a thickness of tSWCL. The lengths of the waveguide claddings LWCL/UWCL/SWCL 1710/1745/1720, lLWCL, lUWCL, and lSWCL are about equal to the length of the waveguide core lWC. The refractive index of the Waveguide Core WC 1730 is nWC. The refractive index of the Lower Waveguide Cladding LWCL 1710 is nLWCL. The refractive index of the Upper Waveguide Cladding UWCL 1710 is nUWCL. The refractive index of the Side Waveguide Cladding SWCL 1710 is nSWCL.

[0270] In an exemplary device, the front beam input/output port FB-PT 1731 is configured to receive/transmit a light beam typically having wavelength λ with a beam size that roughly equals the size of an optical fiber, and the back beam input/output port LB-PT 1732 is also configured to receive/transmit a light beam typically having wavelength λ with a beam size that roughly equals the size of an optical fiber.

[0271] (i) An Exemplary Device

[0272] In an exemplary embodiment, the Waveguide Core WC 1730 is made up of lead-titania-silica with a refractive index of nWC=1.71, or Si3N4 with a refractive index of about 1.7. The Lower Waveguide Cladding LWCL 1710 is made up of silica with a refractive index of nLWCL=1.5. The Upper Waveguide Cladding UWCL is made up of silica-titania with a refractive index of nUWCL=1.7, or Si3N4 with a refractive index of about 1.7. The Side Waveguide Cladding SWCL is made up of lead silica-titania with a refractive index of nSWCL =1.7, or Si3N4 with a refractive index of about 1.7. The size of the waveguide core is lWC =50 μm, wWC=10 μm and tWC=10 μm. The size of the lower waveguide cladding is lLWCL=50 μm, wLWCL=20 μm and tLWCL=1 μm. The size of the upper waveguide cladding is lUWCL=50 μm, wUWCL=20 μm and tUWCL=1 μm. The size of the two side waveguide claddings is lSWCL=50 μm, wSWCL=5 μm and tSWCL=10 μm. It should be appreciated by one skilled in the art that all parameter values used in this and other exemplary embodiments are approximate and that the actual values can vary significantly.

[0273] (ii) General Operation of the Device

[0274] FIG. 26 shows the result of a computer simulation of the spatial distribution of the electric field strength for the light input at λ=1.5 μm after propagating into waveguide 1730. The mode size at the input end is 10 μm. The waveguide confines the mode and guides its propagation to the other port. The mode size remains at about 10 μm at the other end of the waveguide.

[0275] (iii) Device Fabrication Procedures

[0276] An exemplary procedure for fabricating the LRC-LSRIN×VSRIN ICMT device 1700 will be described with reference to FIGS. 27A-E. This procedure is given for the purpose of illustration and not limitation, as there are other procedures that can be used to achieve the same fabrication results and other materials systems or device structures that can be utilized to fabricate devices with the same functional capabilities.

[0277] The LRC-LSRIN×VSRIN ICMT can be fabricated by starting with a Silica-On-Silicon (SOS) wafer that can be fabricated via a commercial process known to those skilled in the art, as shown in FIG. 27A. For a SOS wafer, a low refractive index layer of SiO2 1710 with a thickness of tLWCL is already made on the Si substrate (not shown). The SiO2 layer 1710 is typically either deposited on a Si substrate or thermally oxidized on the Si substrate. There are at least two possible ways to fabricate the LRC-LSRIN×VSRIN ICMT.

[0278] Method 1: As shown in FIG. 27A, a dielectric or glass waveguiding film 1705 is deposited on the SiO2 layer 1710, which acts as a lower waveguide cladding. Depending on the dielectric material, an appropriate film deposition method can be used including evaporation, sputtering, Ion-Assisted-Deposition, chemical vapor deposition, flame hydrolysis, and spin or dip coating. As is well known to those skilled in the art, a common way to make a lateral step refractive index distribution is to dry etch a stripe 1706 in the deposited film. This can be easily achieved by photolithography. A photoresist layer 1702 can be deposited and UV-exposed through a conventional stripe mask. After photoresist development, a photoresist stripe pattern 1703 is generated, as shown in FIG. 27B. Dry etching can then be used to transfer the photoresist stripe pattern to the dielectric or glass waveguide film 1705 to form a stripe pattern 1706, shown in FIG. 27C. While air can be used as the top and side cladding, generally speaking, a surrounding cladding material is preferred and such a cladding 1715, which acts both as the upper waveguide cladding and the side waveguide cladding, can always be deposited, as shown in FIG. 27C.

[0279] Method 2: Another approach to make a step refractive index distribution in the lateral direction is to first deposit a photosensitive waveguide film 1720 on the SiO2 1710, as shown in FIG. 27D. In the case of silica-based glass, typically, Ge or Pb can be incorporated to make the glass film photosensitive. The incorporation of Ge or Pb for making a glass film photosensitive are described in a copending U.S. patent application Ser. No. 09/884,691 having the same inventors herein, entitled: “Method for Forming a Refractive-Index-Patterned Film for Use in Optical Device Manufacturing,” the disclosure of which is hereby incorporated by reference herein in its entirety. After the deposition of such a film 1720, UV photo-imprinting 1725 through a conventional photomask 1735 can be used to define a refractive index increased stripe 1730. If an upper cladding is preferred, a film 1745 with a refractive index lower than that of the photoimprinted stripe can then be deposited, as shown in FIG. 27E. Alternatively, such a film can even be deposited before the UV photoimprinting as long as this upper cladding film does not substantially absorb the UV light. An obvious advantage of the photoimprinting approach is that the fabrication of a buried channel waveguide is significantly simplified as it does not involve etching, and hence the fabrication cost is also significantly lowered.

[0280] Either of the two methods produces a buried channel waveguide that has a step refractive index distribution in both the vertical and the horizontal/lateral direction.

[0281] It should be understood that these dimensions and exemplary lengths are presented for the purposes of illustrating a useful embodiment of the device 1700 and are not intended to limit other embodiments of any exemplary device, or the device 1700. A variety of dimensions and sizes can be used, depending on the application desired, as well as the fabrication materials, processes and technologies that are employed.

[0282] Also, it should be understood that the shapes of the waveguides or the taper (for example the shapes as defined by the surfaces dividing the cladding regions and the core regions) do not generally have to be linear or in the form of straight lines and planar surfaces. Curved shapes and different waveguide dimensions may be utilized as long as they achieve the same functions such as waveguiding or optical mode size transformation with similar topological connections. This applies for all the surfaces of the waveguide structures of the present invention, including the side surfaces, the top and bottom surfaces, and the input/output surfaces.

[0283] In addition, it should be understood that the substrate is used to mechanically support the waveguide structures, and can be made up of irregular shapes, or structures, or materials as long as it serves the function of providing mechanical support for the waveguide structures.

[0284] Furthermore, it should be understood that the output ports can also be used as input ports and the input ports can be used as output ports. This is due to the reciprocal nature of light propagation in passive optical devices and hence the bi-directional nature of the devices.

[0285] It should be understood to those skilled in the art that the device 1700 can be fabricated on a different substrate other than a silicon substrate. In particular, it can be fabricated directly on InP or GaAs substrates used for making semiconductor photonic devices or integrated circuits and may be fabricated directly at the input/output ports of the protonic devices by sharing the same substrate as the photonic device.

[0286] (6) Exemplary Device 6 (A) A Composite-lateral-step-refractive-index and Vertical-graded-refractive Index (LSRIN×VGRIN) ICMT Device

[0287] FIG. 28 illustrates a sixth general embodiment of an ICMT device 1800 including a vertically graded and laterally step refractive index distribution to form a channel waveguide. The device 1800 can perform as a two dimensional beam-size collimating element in both the lateral and the vertical directions for a propagating optical beam and can, for example, confine and collimate an optical beam that has already been expanded or enlarged from a small semiconductor waveguide using a device such as any of exemplary devices 1-4. The device is not limited to use as a beam collimator but can also function as a waveguide to direct a light beam to a beam reducer when the optical beam propagates in the reverse direction. Furthermore, the device can be used for direct light beam coupling into an optical fiber. It should be understood that these exemplary applications of device 1800 are intended to illustrate the uses for device 1800 and are not intended to limit the applications of other embodiments of device 1800. The device can be referred to as a “composite-lateral-step-refractive-index and vertical-graded-refractive index (LSRIN×VGRIN) ICMT”.

[0288] LSRIN×VGRIN ICMT 1800 preferably includes a waveguiding core region occupied by Waveguide Core WC 1835. Waveguide Core WC 1835 is surrounded at the bottom by Lower Waveguide Cladding LWCL 1810, on the top by Upper Waveguide Cladding UWCL 1840 and on both sides by Side Waveguide Cladding SWCL 1825. Waveguide Core 1835 preferably includes a front beam input/output port FB-PT 1831, a straight waveguiding core region SWC 1835, and a back beam input/output port BB-PT 1832. The straight waveguiding core region SWC 1835 has a length lSWC, a width of wSWC and a thickness of tSWC. The Lower Waveguide Cladding LWCL 1810 has a length of lLWCL, a width of wLWCL and a thickness of tLWCL. The Upper Waveguide Cladding UWCL 1840 has a length of lUWCL, a width of wUWCL and a thickness of tUWCL. The two side waveguide claddings SWCL 1825 have a length of lSWCL, a width of wSWCL and a thickness of tSWCL. The lengths of the waveguide claddings LWCL/UWCL/SWCL 1810/1840/1825, lLWCL, lUWCL, and lSWCL are about equal to the length of the waveguide core lWC. The refractive index of the Waveguide Core WC 1835 is not a constant. It is graded in the vertical direction and varies from the center of the core to the outer border of the core; the variation is represented by nWC(y) with y being the vertical coordinate. In the horizontal or lateral direction, the refractive index has a step profile. In other words, for a particular vertical coordinate yo, the refractive index is a constant nWC(y0) within the core region and drops to the refractive index value of the side cladding nSWCL(y0) at the two side borders. The refractive index of the Lower Waveguide Cladding LWCL 1810 is nLWCL. The refractive index of the Upper Waveguide Cladding UWCL 1840 is nUWCL. The refractive index of the Side Waveguide Cladding SWCL 1825 is nSWCL(y), which means it is y-coordinate dependent.

[0289] In an exemplary device, the front beam input/output port FB-PT 1831 is configured to receive/transmit a light beam typically having wavelength λ with a beam size that is already fully enlarged in the lateral direction and partially enlarged to an intermediate size in the vertical direction by a high-refractive-contrast tapered waveguide, and the back beam input/output port LB-PT 1832 is configured to receive/transmit a light beam typically having wavelength λ with a beam size that roughly equals the size of an optical fiber.

[0290] (i) An Exemplary Device

[0291] In an exemplary embodiment, the Waveguide Core WC 1835 is made up of lead-titania-silica with a refractive index distribution that approximates a parabolic distribution as given in Table I below.

TABLE I
Refractive index distribution
	Refractive index of	Refractive index of
y coordinate (μm)	WC	SWCL
−5.0 to −4.6	1.610	1.600
−4.6 to −4.2	1.624	1.614
−4.2 to −3.8	1.636	1.626
−3.8 to −3.4	1.648	1.638
−3.4 to −3.0	1.658	1.648
−3.0 to −2.6	1.668	1.658
−2.6 to −2.2	1.676	1.666
−2.2 to −1.8	1.683	1.673
−1.8 to −1.4	1.688	1.678
−1.4 to −1.0	1.693	1.683
−1.0 to −0.6	1.696	1.686
−0.6 to −0.2	1.699	1.689
−0.2 to 0.2	1.700	1.690
0.2 to 0.6	1.699	1.689
0.6 to 1.0	1.696	1.686
1.0 to 1.4	1.693	1.683
1.4 to 1.8	1.688	1.678
1.8 to 2.2	1.683	1.673
2.2 to 2.6	1.676	1.666
2.6 to 3.0	1.668	1.658
3.0 to 3.4	1.658	1.648
3.4 to 3.8	1.648	1.638
3.8 to 4.2	1.636	1.626
4.2 to 4.6	1.624	1.614
4.6 to 5.0	1.610	1.600

[0292] The Lower Waveguide Cladding LWCL 1810 is made up of silica with a refractive index of nLWCL=1.5. The Upper Waveguide Cladding UWCL is made up of silica-titania with a refractive index of nUWCL=1.6. The Side Waveguide Cladding SWCL is made up of lead silica-titania with a refractive index of distribution given by Table I. The size of the waveguide core is lWC=50 μm, wWC=10 μm and tWC=10 μm. The size of the lower waveguide cladding is lLWCL=50 μm, wLWCL=30 μm and tLWCL=10 μm. The size of the upper waveguide cladding is lUWCL=50 μm, wUWCL=30 μm and tUWCL=10 μm. The size of the two side waveguide claddings is lSWCL=50 μm, wSWCL=10 μm and tSWCL=10 μm. It should be appreciated by one skilled in the art that all parameter values used in this and other exemplary embodiments are approximate and that the actual values can vary significantly.

[0293] (ii) General Operation of the Device

[0294] FIG. 29 shows the results of a computer simulation of the spatial distribution of the electric field strength for the light input at λ=1.5 μm after propagating into waveguide 1835. The mode size at the input end is 10 μm in both the lateral and vertical directions. In the lateral direction, the waveguide confines the mode and guides its propagation to the other port. In the vertical direction, in addition to the guiding of the light beam, the waveguide also functions as a lens in the sense that the beam size is changed periodically.

[0295] (iii) Device Fabrication Procedures

[0296] An exemplary procedure for fabricating LSRIN×VGRIN ICMT device 1800 will now be described with reference to FIGS. 30A-D. This procedure is given for the purpose of illustration and not limitation, as there are other procedures that can be used to achieve the same fabrication results and other materials systems or device structures that can be utilized to fabricate devices with the same functional capabilities.

[0297] The LSRIN×VGRIN ICMT can be fabricated by starting with a Silica-On-Silicon (SOS) wafer that can be fabricated via a commercial process known to those skilled in the art. For a SOS wafer, as shown in FIG. 30A, a low refractive index layer of SiO2 1810 with a thickness of tLWCL is already made on the Si substrate (not shown). There are at least two ways to fabricate the LSRIN×VGRIN ICMT structure and these are now described by fabrication methods 1-2 below:

[0298] Method 1: As shown in FIG. 30A, a graded index distribution in the vertical direction can be achieved by depositing multiple sufficiently thin layers of different material compositions 1805 on a lower cladding layer 1810. In such a case, a continuous distribution of the refractive index can be approximated by a series of small effective refractive index steps with each thin layer having a different refractive index value. Depending on the property of the dielectric material, an appropriate film deposition method can be used. These methods include evaporation, flame hydrolysis, sputtering, Ion-Assisted-Deposition, chemical vapor deposition, and others. An exemplary method is sol-gel spin or dip coating which offers a possibility to vary the material composition of each thin layer easily. As a natural extension, a channel waveguide with a graded refractive index distribution in the vertical direction and a step refractive index distribution in the horizontal/lateral direction can be fabricated by etching a stripe 1815 in the film 1805; the result of etching is shown in FIG. 30B. If a surrounding cladding is preferred, a subsequent deposition of a cladding material 1820 can always be performed.

[0299] Method 2: Another approach to make a step refractive index distribution in the lateral direction is to first deposit a photosensitive vertically graded refractive index film 1825 on the SiO2 1810, as shown in FIG. 30C. In the case of silica-based glass, typically, Ge or Pb can be incorporated to make the glass film photosensitive. After the deposition of such a film 1825, UV photo-imprinting through a conventional channel photomask 1830 can be used to induce a nearly step refractive index distribution in the lateral direction to form the channel waveguide 1835.

[0300] If an upper cladding is preferred, a film 1840 with a refractive index lower than that of the photoimprinted stripe can then be deposited as shown in FIG. 30D. Alternatively, such a film can even be deposited before the UV photoimprinting as long as this upper cladding film does not substantially absorb the UV light. An obvious advantage of the photoimprinting approach is that the fabrication of a buried channel waveguide is significantly simplified as it does not involve etching and hence the fabrication cost is also significantly lowered.

[0301] Either method produces a buried channel waveguide that has a step refractive index distribution in the horizontal/lateral direction and a graded refractive index distribution in the vertical direction.

[0302] It should be understood that these dimensions and exemplary lengths are presented for the purposes of illustrating a useful embodiment of the device 1800 and are not intended to limit other embodiments of any exemplary device, or the device 1800. A variety of dimensions and sizes can be used, depending on the application desired, as well as the fabrication materials, processes and technologies that are employed.

[0303] Also, it should be understood that the shapes of the waveguides or the taper (for example the shapes as defined by the surfaces dividing the cladding regions and the core regions) do not generally have to be linear or in the form of straight lines and planar surfaces. Curved shapes and different waveguide dimensions may be utilized as long as they achieve the same functions such as waveguiding or optical mode size transformation with similar topological connections. This applies for all the surfaces of the waveguide structures of the present invention, including the side surfaces, the top and bottom surfaces, and the input/output surfaces of the present invention

[0304] In addition, it should be understood that the substrate is used to mechanically support the waveguide structures, and can be made up of irregular shapes, or structures, or materials as long as it serves the function of providing mechanical support for the waveguide structures.

[0305] Furthermore, it should be understood that the output ports can also be used as input ports and the input ports can be used as output ports. This is due to the reciprocal nature of light propagation in passive optical devices and hence the bidirectional nature of the said devices.

[0306] It should be understood to those skilled in the art that the device 1800 can be fabricated on a different substrate other than a silicon substrate. In particular, it can be fabricated directly on InP or GaAs substrates used for making semiconductor photonic devices or integrated circuits and may be fabricated directly at the input/output ports of the photonic devices by sharing the same substrate as the photonic device.

[0307] (B) A Composite-lateral-graded-refractive-index and Vertical-graded-refractive index (LGRIN×VGRIN) ICMT Device

[0308] FIG. 31 illustrates an alternative embodiment of an ICMT device 1850 including a vertical as well as a lateral graded refractive index distribution to form a channel waveguide. The device 1850 can perform as a two dimensional beam-size collimating element in both the lateral and the vertical directions for a propagating optical beam and can, for example, confine and collimate an optical beam that has already been partially expanded or enlarged from a small semiconductor waveguide via a tapered structure such as any of exemplary devices 1-4. The device is not limited to use as a beam collimator but can also function as a waveguide to direct a light beam to a beam reducer when the optical beam propagates in the reverse direction. Furthermore, the device can be used for direct light beam coupling into an optical fiber. It should be understood that these exemplary applications of device 1850 are intended to illustrate the uses for device 1850 and are not intended to limit the applications of other embodiments of device 1850. The device can be referred to as a “(composite-lateral-graded-refractive-index and vertical-graded-refractive index” (LGRIN×VGRIN) ICMT.

[0309] LGRIN×VGRIN ICMT 1850 preferably includes a waveguiding core region occupied by Waveguide Core WC 1885. Waveguide Core WC 1885 is surrounded at the bottom by Lower Waveguide Cladding LWCL 1860, on the top by Upper Waveguide Cladding UWCL 1890 and on both sides by Side Waveguide Cladding SWCL 1875. Waveguide Core 1885 preferably includes a front beam input/output port FB-PT 1881, a straight waveguiding core region SWC 1885, and a back beam input/output port BB-PT 1882. The straight waveguiding core region SWC 1885 has a length lSWC, a width of wSWC and a thickness of tSWC. The Lower Waveguide Cladding LWCL 1860 has a length of lLWCL, a width of wLWCL and a thickness of tLWCL. The Upper Waveguide Cladding UWCL 1890 has a length of lUWCL, a width of wUWCL and a thickness of tUWCL. The two side waveguide claddings SWCL 1875 have a length of lSWCL, a width of wSWCL and a thickness of tSWCL. The lengths of the waveguide claddings LWCL/UWCL/SWCL 1860/1890/1875, lLWCL, lUWCL, and lSWCL are about equal to the length of the waveguide core lWC. The refractive index of the Waveguide Core WC 1885 is not a constant. In both the vertical and the lateral directions, it is graded and varies from the center of the core to the outer borders of the core. The variation can be represented in the vertical direction by nWC(y) with y being the vertical coordinate and in the lateral direction by nWC(x) with x being the lateral coordinate. The refractive index of the Lower Waveguide Cladding LWCL 1860 is nLWCL. The refractive index of the Upper Waveguide Cladding UWCL 1890 is nUWCL. The refractive index of the Side Waveguide Cladding SWCL 1875 is nSWCL(y), which means it can be y coordinate dependent.

[0310] In an exemplary device, the front beam input/output port FB-PT 1881 is configured to receive/transmit a light beam typically having wavelength λ with a beam size that is already enlarged to an intermediate size by a high-refractive-contrast tapered waveguide, and the back beam input/output port LB-PT 1882 is configured to receive/transmit a light beam typically having wavelength λ with a beam size that roughly equals the size of an optical fiber.

[0311] (i) An Exemplary Device

[0312] In an exemplary embodiment, the Waveguide Core WC 1885 is made up of lead-titania-silica with a refractive index distribution that approximates a parabolic distribution in both the vertical and the lateral directions as given by the equation 3$n_{\mathrm{WC}}\left(x,y\right)=1.61+0.09\left[1-\left(\frac{x^2+y^2}{{\left(5\mathrm{\mu m}\right)}^2}\right)\right].$

[0313] The Lower Waveguide Cladding LWCL 1860 is made up of silica with a refractive index of nLWCL=1.5. The Upper Waveguide Cladding UWCL is made up of silica-titania with a refractive index of nUWCL=1.6. The Side Waveguide Cladding SWCL is made up of lead silica-titania with a refractive index distribution given by Table I (above). The size of the waveguide core is lWC=50 μm, wWC=10 μm and tWC=10 μm. The size of the lower waveguide cladding is lLWCL=50 μm, wLWCL=30 μm and tLWCL=10 μm. The size of the upper waveguide cladding is lUWCL=50 μm, wUWCL=30 μm and tUWCL=10 μm. The size of the two side waveguide claddings is lSWCL=50 μm, wSWCL=10 μm and tSWCL=10 μm. It should be appreciated by one skilled in the art that all parameter values used in this and other exemplary embodiments are approximate and that the actual values can vary significantly.

[0314] (ii) General Operation of the Device

[0315] FIG. 32 shows the results of a computer simulation of the spatial distribution of the electric field strength for the light input at λ=1.5 μm after propagating into waveguide 1885. The mode size at the input end is 10 μm in both the lateral and vertical directions. In both the vertical and the lateral directions, in addition to the guiding of the light beam, the waveguide also functions as a lens in the sense that the beam size get focused and collimated periodically.

[0316] (iii) Device Fabrication Procedures

[0317] An exemplary procedure for fabricating LGRIN×VGRIN ICMT device 1850 will now be described with reference to FIGS. 33A-B. This procedure is given for the purpose of illustration and not limitation, as there are other procedures that can be used to achieve the same fabrication results and other materials systems or device structures that can be utilized to fabricate devices with the same functional capabilities.

[0318] The LGRIN×VGRIN ICMT can be fabricated by starting with a Silica-On-Silicon (SOS) wafer that can be fabricated via a commercial process known to those skilled in the art. For a SOS wafer, as illustrated in FIG. 33A, a low refractive index layer of SiO2 1860 with a thickness of tLWCL is already made on the Si substrate (not shown). The fabrication of the LGRIN×VGRIN ICMT according to one embodiment below.

[0319] As shown in FIG. 33A, a graded refractive index distribution in the vertical direction can be achieved by depositing a multiple sufficiently thin layers of photosensitive materials with different compositions 1855 on a lower cladding layer 1860. In such a case, a continuous distribution of the refractive index can be approximated by a series of small effective refractive index steps with each thin layer having a different refractive index value. Depending on the property of the dielectric material, an appropriate film deposition method can be used. These methods include evaporation, flame hydrolysis, sputtering, Ion-Assisted-Deposition, chemical vapor deposition, and others. An exemplary method is sol-gel spin or dip coating which offers a possibility to vary the material composition of each thin layer easily. In the case of silica-based glass, the photosensitivity of the glass material can be enabled by incorporating Ge or Pb into the glass film as set forth above.

[0320] As for the graded refractive index distribution in the lateral direction, it can be created by using a gray scale mask 1880 to optically imprint a graded refractive index change in the film because the refractive index change can be made to depend on the dosage of the photoimprinting which can be controlled by the gray scale of the gray mask. If an upper cladding 1890 is preferred, such a film can then be deposited on top of the photosensitive film, as shown in FIG. 33B. Alternatively, such an upper cladding film 1890 can be deposited before the UV photoimprinting as long as it does not substantially absorb the photoimprinting light. The approaches described here are obviously advantageous because of their simplicity in terms of fabrication as set forth above. Alternatively, a vertical refractive index variation can be achieved by varying the amount of photosensitive materials such as the Ge or Pb content in the vertical direction. In this case, the UV photoimprinting described above will result in vertical refractive index variation in addition to the lateral refractive index variation.

[0321] The resulting device is a buried channel waveguide that has a graded index distribution in the both the vertical and the lateral directions.

[0322] It should be understood that these dimensions and exemplary lengths are presented for the purposes of illustrating a useful embodiment of the device 1850 and are not intended to limit other embodiments of any exemplary device, or the device 1850. A variety of dimensions and sizes can be used, depending on the application desired, as well as the fabrication materials, processes and technologies that are employed.

[0323] Also, it should be understood that the shapes of the waveguides or the taper (for example the shapes as defined by the surfaces dividing the cladding regions and the core regions) do not generally have to be linear or in the form of straight lines and planar surfaces. Curved shapes and different waveguide dimensions may be utilized as long as they achieve the same functions such as waveguiding or optical mode size transformation with similar topological connections. This applies for all the surfaces of the waveguide structures of the present invention, including the side surfaces, the top and bottom surfaces, and the input/output surfaces.of the present invention

[0324] In addition, it should be understood that the substrate is used to mechanically support the waveguide structures, and can be made up of irregular shapes, or structures, or materials as long as it serves the function of providing mechanical support for the waveguide structures.

[0325] Furthermore, it should be understood that the output ports can also be used as input ports and the input ports can be used as output ports. This is due to the reciprocal nature of light propagation in passive optical devices and hence the bi-directional nature of the said devices.

[0326] It should be understood to those skilled in the art that the device 1850 can be fabricated on a different substrate other than a silicon substrate. In particular, it can be fabricated directly on InP or GaAs substrates used for making semiconductor photonic devices or integrated circuits and may be fabricated directly at the input/output ports of the photonic devices by sharing the same substrate as the photonic device.

[0327] (7) Exemplary Device 7: A Vertical-sharp-down-taper-and-lateral-gradual-up-taper-cascaded-with-a-vertical-graded-refractive-index-and-lateral-step-refractive-index (VSDT×LGUT+VGRIN×LSRIN) ICMT Device

[0328] FIGS. 34A-B illustrates a seventh general embodiment of a combined module ICMT device 1900 including a vertical-sharp-down-taper and lateral-gradual-up-taper waveguide core embedded in and connected to a large channel waveguide with a nearly symmetric vertical graded refractive index and lateral step refractive index distribution. It is in fact one possible combination of a taper waveguide integrated with a lower refractive-index-contrast large-size channel waveguide. The device 1900 performs as a two dimensional beam-size enlargement and collimating element in both the lateral and the vertical directions for a propagating optical beam, and can, for example, enlarge and collimate an optical beam from a small semiconductor waveguide to a large beam size such as one with a beam size close to that of an optical fiber. The device is not limited to use as a beam enlarger/collimator but can also function as a beam reducer when the optical beam propagates in the reverse direction. Furthermore, the device is used for direct light beam coupling into an optical fiber. It should be understood that these exemplary applications of device 1900 are intended to illustrate the uses for device 1900 and are not intended to limit the applications of other embodiments of device 1900 to these examples. The device can be referred to as a “vertical-sharp-down-taper-and-lateral-gradual-up-taper-cascaded-with-a-vertical-graded-refractive-index-and-lateral-step-refractive-index (VSDT×LGUT+VGRIN×LSRIN) ICMT.

[0329] The present VSDT×LGUT+VGRIN×LSRIN ICMT 1900 preferably includes a Waveguiding Core region occupied by Waveguide Core WC 1945. This Waveguide Core WC 1945 is embedded in an optical medium 1915/1950 that acts as the cladding for the Waveguide Core WC 1945 wherever the Waveguide Core WC 1945 exists, but at the same time the same optical medium 1915/1950 acts as a Lower Refractive index Contrast Waveguiding Core region. This Lower Refractive index Contrast Waveguiding Core region 1915/1950 is occupied by Waveguide Core LRCWC 1915/1950, and is further surrounded by an even lower refractive index cladding region 1905/1955/1976.

[0330] Waveguide Core WC 1945 is surrounded at the bottom by Lower Graded Waveguide Cladding LGWCL 1915, on the top by Upper Graded Waveguide Cladding UGWCL 1950 and on both sides by Side Stratified Waveguide Cladding SSWCL 1970, which is basically a combination of the Lower Graded Waveguide Cladding LGWCL 1915 and the Upper Graded Waveguide Cladding UGWCL 1950.

[0331] When viewed from the side, the Waveguide Core WC 1945 preferably includes a small beam input/output port SB-PT 1971a, a straight waveguiding core region SWC 1972a, a vertically tapered down region VTD 1973a, and an intermediate beam output/input port region 1974a. The straight waveguiding core region SWCa 1972a has a length lHRCSWCa, and a thickness of tHRCSWCa. The vertically tapered down waveguiding core region VTDWC 1973a has a length of lHRCVTDWCa, a vertical thickness of tHRCVTDWCaSB at the small-beam input/output side, and a vertical thickness of tHRCVTDCaLB at the large-beam input/output side.

[0332] When viewed from the top, Waveguide Core 1945 preferably includes a small beam input/output port SB-PT 1971b, a straight waveguiding core region SWC 1972b, a laterally tapered up region LTU 1973b, a wider straight waveguiding core region WSWC 1975 and a large beam output/input port region 1974b. The straight high refractive index contrast waveguiding core region SWCb 1972b has a length lHRCSWCb, and a width of wHRCSWCb. The laterally tapered up waveguiding core region LTUWC 1973b has a length of lHRCLTUWCb, a width of wHRCLTUWCbSB at the small-beam input/output side, and a width of wHRCLTUCbLB at the large-beam input/output side. The wider straight waveguide core region WSWC 1975 has a length of lHRCWSWCb and a width of wHRCWSWCb=wHRCLTUCbLB.

[0333] It should be understood that the straight waveguiding core regions 1972a and 1972b (based on whether the structure is viewed from the side or from the top), may have the same or a different length. Similarly, the vertically tapered down region 1973a (when viewed from the top) and the laterally tapered up region 1973b (when viewed from the side) may have the same or a different length. In other words, the vertical and lateral beam size transformation may be achieved independently or at the same time or with one slightly earlier than the other. Furthermore, the taper regions do not need to be symmetric with respect to the central axis and also the tapering up or down slope do not need to be straight and may be of any curve shape.

[0334] Lower-Refractive-index-Contrast-Waveguide Core LRCWC 1915/1950 preferably surrounds and embeds the Waveguide Core WC 1945. When viewed from the side, the Lower Refractive index Contrast Waveguide Core LRCWC 1915/1950 is sandwiched at the bottom by a Lower Waveguide Cladding LWCL 1905, and on the top by an Upper Waveguide Cladding UWCL 1955. As the Lower-Refractive-index-Contrast-Waveguide Core LRCWC 1915/1950 has a graded refractive index distribution along the vertical direction, it can take the intermediate size beam launched at the tip region 1974a from the Waveguide Core WC 1945 and further expand the beam; after the beam has traveled a certain distance equivalent to the focal length of the graded refractive index lens structure, the beam will be collimated and reach the back large beam output/input port LB-PT 1977, from where another single mode waveguide such as a single mode optical fiber will continue to guide the light beam. When viewed from the top, the LRCWC 1970 (i.e. 1915/1950) is surrounded on both sides by Side Waveguide Cladding SWCL 1976, (with lower refractive index when compared to the Waveguide Core LRCWC 1970). The Lower Refractive index Contrast Waveguide Core LRCWC 1970 has a length of lLRCWC, a width of wLRCWC and a thickness of tLRCWC. The Lower Waveguide Cladding LWCL 1905 has a length of lLWCL, a width of wLWCL and a thickness of tLWCL. The Upper Waveguide Cladding UWCL 1955 has a length of lUWCL, a width of wUWCL and a thickness of tUWCL. The two side waveguide claddings SWCL 1976 have a length of lSWCL, a width of wSWCL and a thickness of tSWCL. The lengths of the waveguide claddings LWCL/UWCL/SWCL 1905/1955/1976, lLWCL, lUWCL, and lSWCL are about equal to the length of the lower refractive index contrast waveguide core lLRCWC.

[0335] The refractive index of the Waveguide Core WC 1945 is nHRCWC. The refractive index of the Lower Refractive index Contrast Waveguide Core LRCWC 1915/1950 is nLRCWC(y), which means it is y coordinate dependent, with y being the vertical coordinate. The refractive index of the Lower Waveguide Cladding LWCL 1905 is nLWCL. The refractive index of the Upper Waveguide Cladding UWCL 1955 is nUWCL. The refractive index of the Side Waveguide Cladding SWCL 1976 is nSWCL(y), which means it can also be y coordinate dependent. It should be understood that the Side Waveguide Cladding SWCL 1976 can have either a uniform or non-uniform refractive index distribution. In other words, the refractive index of the Side Waveguide Cladding may or may not be a constant. In the latter case, it can be graded in the vertical direction. In device 1900, as in exemplary device 6, the refractive index of the Waveguide Core LRCWC 1915/1950 is not a constant. It is graded in the vertical direction and varies from the center plane of the core to the top and bottom border of the core. The variation can be represented by nLRCWC(y) with y being the vertical coordinate. In the horizontal or lateral direction, the refractive index may have a step profile. In other words, for a given vertical coordinate yo, the refractive index is a constant, nLRCWC(y0), within the core region and drops at the two side borders to the refractive index value of the side cladding, nSWCL(y0).

[0336] In an exemplary device, the front beam input/output port FB-PT 1971a/1971b is configured to receive/transmit a light beam typically having wavelength λ with a very small beam size. The mode size of the straight section of the Waveguide Core WC 1945 can be designed to match the mode size of a preceding very small size waveguide. The laterally tapering up section of the WC 1945 will enlarge the beam fully in the lateral direction and the vertical tapering down section will partially enlarged the beam in the vertical direction to an intermediate size. The vertically graded Lower Refractive index Contrast Waveguide Core LRCWC is configured to take the vertically intermediate size beam launched at region 1974a and further expand and collimate it. The back beam input/output port LB-PT 1977 is configured to receive/transmit a light beam typically having wavelength λ with a beam size that roughly equals the size of an optical fiber.

[0337] (i) An Exemplary Device

[0338] In an exemplary embodiment, the High Refractive index Contrast Waveguide Core WC 1945 is made up of silicon with a refractive index of nHRCWC3.5, the Low Refractive index Contrast Waveguide Core LRCWC 1915/1950 is made up of lead-titania-silica material mixture with a mixture composition to achieve a refractive index of a refractive index distribution that approximates a parabolic distribution as given in Table II below.

TABLE II
Refractive index distribution
y coordinate	Refractive index of	Refractive index of
(μm)	LRCWC	SWCL
−5.0 to −4.6	1.610	1.600
−4.6 to −4.2	1.624	1.614
−4.2 to −3.8	1.636	1.626
−3.8 to −3.4	1.648	1.638
−3.4 to −3.0	1.658	1.648
−3.0 to −2.6	1.668	1.658
−2.6 to −2.2	1.676	1.666
−2.2 to −1.8	1.683	1.673
−1.8 to −1.4	1.688	1.678
−1.4 to −1.0	1.693	1.683
−1.0 to −0.6	1.696	1.686
−0.6 to −0.2	1.699	1.689
−0.2 to 0.2	1.700	1.690
0.2 to 0.6	1.699	1.689
0.6 to 1.0	1.696	1.686
1.0 to 1.4	1.693	1.683
1.4 to 1.8	1.688	1.678
1.8 to 2.2	1.683	1.673
2.2 to 2.6	1.676	1.666
2.6 to 3.0	1.668	1.658
3.0 to 3.4	1.658	1.648
3.4 to 3.8	1.648	1.638
3.8 to 4.2	1.636	1.626
4.2 to 4.6	1.624	1.614
4.6 to 5.0	1.610	1.600

[0339] The Lower Waveguide Cladding LWCL 1905 is made up of silica-titania with a refractive index of nLWCL=1.5. The Upper Waveguide Cladding UWCL is made up of silica-titania with a refractive index of nUWCL=1.5. The Side Waveguide Cladding SWCL is made up of lead silica-titania with a refractive index distribution also given in Table II.

[0340] The dimensions of the Waveguide Core WC 1945 are as follows: lHRCSWCa=110 μm, tHRCSWCa=0.3 μm, lHRCVTDWCa=30 μm, tHRCVTDWCaSB=0.3 μm, tHRCVTDCaLB=0 μm, lHRCSWCb10 μm, wHRCSWCb.=0.3 μm, lHRCLTUWCb=100 μm, wHRCLTUWCbSB=0.3 μm, wHRCLTUCbLB=10 μm, lHRCWSWCb=30 μm and wHRCWSWCb=10 μm. The dimensions of the Lower Refractive index Contrast Waveguide Core LRCWC 1915/1950 are as follows: lLRCWC=170 μm, wLRCWC=10 μm, tLRCWC=10 μm. The Lower Waveguide Cladding LWCL 1905 has a length of lLWCL=170 μm, a width of wLWCL=30 μm and a thickness of tLWCL=2 μm. The Upper Waveguide Cladding UWCL 1955 has a length of lUWCL=170 μm, a width of wUWCL=30 μm and a thickness of tUWCL=2 μm. The two side waveguide claddings SWCL 1976 have a length of lSWCL=170 μm, a width of wSWCL=10 μm and a thickness of tSWCL=10 μm. It should be appreciated by one skilled in the art that all parameter values used in this and other exemplary embodiments are approximate and that the actual values can vary significantly.

[0341] (ii) General Operation of the Device

[0342] FIG. 35 shows the results of a computer simulation of the spatial distribution of the electric field strength for the light input at λ=1.5 μm after being launched from the left into the small light beam input/output port 1971a/1971b. The mode size at the input end is 0.3 μm in both the lateral and vertical directions. In the vertical direction, as the tapering down section only lies towards the right for the last 30 μm and the cascading beam expansion action occurs on both the left and the right part of the WC taper tip, the computer simulation is thus zoomed into the last 60 μm of the coupler structure. In the lateral direction, the beam expansion is entirely enabled by the tapering up section 1973b, which has a length of 100 μm, hence the computer simulation is zoomed mainly in this section. As can be seen from FIG. 35, the combined module coupler structure can transform a very small beam of about 0.3 μm in size to a large size beam of about 10 μm in both the vertical and the horizontal directions.

[0343] (iii) Device Fabrication Procedures

[0344] An exemplary procedure for fabricating a HRC-VSDT×LGUT+VGRIN×LSRIN ICMT device 1900 will now be described with reference to FIGS. 36A-N. This procedure is given for the purpose of illustration and not limitation, as there are other procedures that can be used to achieve the same fabrication results and other materials systems or device structures that can be utilized to fabricate devices with the same functional capabilities.

[0345] The HRC-VSDT×LGUT+VGRIN×LSRIN ICMT 1900 may be fabricated by starting with a Silica-On-Silicon (SOS) wafer shown in FIG. 36A, which may be fabricated via a commercial process known to those skilled in the art. For a SOS wafer, a low refractive index layer of SiO2 1905 with a thickness of tLWCL is already made on a Si substrate 1910. The fabrication of the HRC-VSDT×LGUT+VGRIN×LSRIN ICMT structure according to one embodiment now described below.

[0346] As shown in FIGS. 36B-C, a graded index distribution in the vertical direction can be achieved by depositing multiple sufficiently thin layers of photosensitive materials with different compositions 1915 on a lower cladding layer 1905. In such a case, a continuous distribution of the refractive index can be approximated by a series of small refractive index steps with each thin layer having a different refractive index value. Depending on the property of the dielectric material, an appropriate film deposition method can be used. These methods include evaporation, flame hydrolysis, sputtering, Ion-Assisted-Deposition, chemical vapor deposition, and others. An exemplary method is sol-gel spin or dip coating which offers a possibility to vary the material composition of each thin layer easily. In the case of silica-based glass, the photosensitivity of the glass material can be enabled by incorporating Ge or Pb into the glass film. It should be understood that any optically transparent dielectric material in the spectrum region of interest to optical communication can be used for the deposition; examples include lead silica, geimania-silica, titania-silica, silicon oxynitride, silicon nitride, polysilicon, silicon-rich-silica, silicon carbide, polymer and a combination of different materials. The parameter details of one exemplary embodiment of the design for the GRIN layers has already been shown in Table II. Note that the refractive index distribution does not have to follow the parabolic profile and may be of any profile. It should also be understood that other film deposition techniques such as flame hydrolysis, sputtering, Ion-Assisted-Deposition and chemical vapor deposition may also be used to deposit the bottom half of the GRIN dielectric waveguide.

[0347] As shown in FIG. 36D, a thin silicon layer 1920, which is to be made into the high refractive index contrast waveguide core WC 1945, may be defined in another piece of bare Si wafer using, for example, ion implantation. A thin silicon layer 1920 is formed on an ion implanted layer 1925 that is sitting on top of a Si substrate 1930. This ion-implanted wafer may then be flipped over and wafer-bonded to the GRIN dielectric-coated SiO2-Si wafer, as shown in FIG. 36E. The top thick Si part 1930 and the ion-implanted layer 1925 may then be removed using a lift-off technique such as rapid thermal annealing and/or wafer thinning. The result after removing the ion-implanted layer is shown in FIG. 36F. This technique may be modified if, for instance, a non-symmetric vertical-GRIN waveguide is desired, as will be described below.

[0348] To form a vertically down-tapered and horizontally/laterally up-tapered high-index core, the fabrication steps described with regard to Exemplary device 4 may be used. In short, a photoresist layer is first spin-coated on the Si waveguide layer 1920. A mask pattern 1935 with a gray-scaled transparency along the longitudinal direction, and a horizontal/lateral up taper, shown in FIG. 36G, can be used together with UV exposure and photoresist development to make a vertically tapered down and horizontally/laterally tapered up photoresist pattern 1940, shown in FIG. 36H. The lateral and vertical tapers may be made independent from each other, although in FIG. 36H, they have been put together to save space and also to illustrate the principle. Followed by dry etching, as indicated in FIG. 36I, the vertically down tapered and horizontally/laterally up tapered photoresist pattern 1940 is transferred to the high refractive index Si layer to form the vertically down-tapered and horizontally/laterally up-tapered Si section 1945, as shown in FIGS. 36J-K. As was previously noted, the interface between the top Si layer and the SiO2 based layer may be used as a natural stop during the dry etching process. It should also be noted that a shadow mask based dry etching process or a diffusion-limited wet etching process could also be used to form the Si taper as well.

[0349] To form the top half of the vertically GRIN dielectric waveguide part, an effective refractive-index-decreasing dielectric region 1950 is deposited, as shown in FIG. 36L. Preferably photosensitive sol-gel silica is spin-coated in almost the same way as for the bottom half of the dielectric waveguide except that the order of the layers is now reversed. It should again be understood that the parabolic refractive index distribution cited here is only one example and, as is well known to those skilled in the art, various other refractive index distributions may be used. On the very top, a relatively thick (say 2 μm) silica layer 1955 can be deposited to act as an upper cladding.

[0350] Note that the sol-gel technique has an advantage in that the spin-coated film will change shape from conformal coating to planarized coating. The initial layer thickness may not be so even and uniform. However, due to the fact that the Si taper 1945 is generally only about 0.2˜0.5 μm high, after a few spin-on layers, the following layers should be flat and uniform as suggested in FIG. 36L. With a top cladding 1955, a buried GRIN planar waveguide 1915/1950 is thus formed with the Si taper 1945 in the center of the GRIN waveguide core.

[0351] To form a dielectric channel waveguide with a step refractive index distribution in the lateral direction to confine light propagation, dry etching can be used. However, UV imprinting is preferred since the deposited GRIN dielectric film can be made photosensitive. A step channel mask 1960, as shown in FIG. 36M, can be used to form a single mode step refractive index channel waveguide 1965 to confine light in the horizontal/lateral direction. When viewed from the top, as shown in FIG. 36N, the result is a tapered up Si taper 1945 integrated with a step index channel waveguide 1965.

[0352] It should be understood that these dimensions and exemplary lengths are presented for the purposes of illustrating a useful embodiment of the device 1900 and are not intended to limit other embodiments of any exemplary device, or the device 1900. A variety of dimensions and sizes can be used, depending on the application desired, as well as the fabrication materials, processes and technologies that are employed.

[0353] Also, it should be understood that the shapes of the waveguides or the taper (for example the shapes as defined by the surfaces dividing the cladding regions and the core regions) do not generally have to be linear or in the form of straight lines and planar surfaces. Curved shapes and different waveguide dimensions may be utilized as long as they achieve the same functions such as waveguiding or optical mode size transformation with similar topological connections. This applies for all the surfaces of the waveguide structures of the various embodiments of the present invention, including the side surfaces, the top and bottom surfaces, and the input/output surfaces, of the present invention

[0354] In addition, it should be understood that the substrate is used to mechanically support the waveguide structures, and can be made up of irregular shapes, or structures, or materials as long as it serves the function of providing mechanical support for the waveguide structures.

[0355] Furthermore, it should be understood that the output ports can also be used as input ports and the input ports can be used as output ports. This is due to the reciprocal nature of light propagation in passive optical devices and hence the bi-directional nature of the said devices.

[0356] It should be understood to those skilled in the art that the device 1900 can be fabricated on a different substrate other than a silicon substrate. In particular, it can be fabricated directly on InP or GaAs substrates used for making semiconductor photonic devices or integrated circuits and may be fabricated directly at the input/output ports of the photonic devices by sharing the same substrate as the photonic device.

[0357] (8) Exemplary Device 8: A Vertical-sharp-down-taper-and-lateral-sharp-down-taper-cascaded-with-a-symmetric-vertical-graded-refractive-index-and-lateral-graded-refractive index (VSDT×LSDT+VGRIN×LGRIN) ICMT Device

[0358] FIGS. 37A-B illustrates an eighth general embodiment of a combined module ICMT device 2000 including a vertically and laterally down-tapered waveguide core embedded in and connected to a large channel waveguide with a nearly symmetric vertically and laterally graded refractive index distribution. It is in fact a second possible combination of a taper integrated with a lower -refractive-index-contrast large-size channel waveguide. The device 2000 can perform as a two dimensional beam-size enlargement and collimating element in both the lateral and the vertical directions for a propagating optical beam, and can in particular enlarge and collimate an optical beam from a small semiconductor waveguide to enable the beam to match with a single mode optical fiber. The device is not limited to use as a beam enlarger/collimator but can also function as a beam reducer when the optical beam propagates in the reverse direction. Furthermore, the device can be used for direct light beam coupling into an optical fiber. It should be understood that these exemplary applications of device 2000 are intended to illustrate the uses for device 2000 and are not intended to limit the applications of other embodiments of device 2000. The device can be referred to as a “vertical-sharp-down-taper and lateral-sharp-down-taper-cascaded-with-a-symmetric-vertical-graded-refractive-index-and-lateral-graded-refractive-index (VSDT×LSDT+VGRIN×LGRIN) ICMT”.

[0359] VSDT×LSDT+VGRIN×LGRIN ICMT 2000 preferably includes a Waveguiding Core region occupied by Waveguide Core WC 2045. This Waveguide Core WC 2045 is embedded in an optical medium 2015/2050 that acts as the cladding for the Waveguide Core WC 2045 wherever the Waveguide Core WC 2045 exists, but at the same time, the same optical medium 2015/2050 acts as a Lower Refractive index Contrast Waveguiding Core region. This Lower Refractive index Contrast Waveguiding Core region is occupied by Waveguide Core LRCWC 2015/2050, and is further surrounded by an even lower refractive index cladding region 2005/2055/2076.

[0360] Waveguide Core WC 2045 is surrounded at the bottom by Lower Graded Waveguide Cladding LGWCL 2015, on the top by Upper Graded Waveguide Cladding UGWCL 2050 and on both sides by Side Stratified Waveguide Cladding SSWCL 2070, which is basically a combination of the Lower Graded Waveguide Cladding LGWCL 2015 and the Upper Graded Waveguide Cladding UGWCL 2050.

[0361] When viewed from the side, the Waveguide Core WC 2045 preferably includes a small beam input/output port SB-PT 2071a, a high refractive index contrast straight waveguiding core region SWC 2072a, a high refractive index contrast vertically tapered down region VTD 2073a, and an intermediate beam output/input port region 2074a. The straight high refractive index contrast waveguiding core region SWCa 2072a has a length lHRCSWCa, and a thickness of tHRCSWCa. The high refractive index contrast vertically tapered down waveguiding core region VTDWC 2073a has a length of lHRCVTDWCa, a vertical thickness of tHRCVTDWCaSB at the small-beam input/output side, and a vertical thickness of tHRCVTDCaLB at the large-beam input/output side.

[0362] When viewed from the top, the Waveguide Core 2045 preferably includes a small beam input/output port SB-PT 2071b, a straight waveguiding core region SWC 2072b, a laterally tapered down region LTD 2073b, and an intermediate beam output/input port region 2074b. The straight waveguiding core region SWCb 1972b has a length lHRCSWCb, and a width of wHRCSWCb. The laterally tapered down waveguiding core region LTDWC 1973b has a length of lHRCLTDWCb, a width of wHRCLTDWCbSB at the small-beam input/output side, and a width of wHRCLTDCbLB at the large-beam input/output side.

[0363] It should be understood that the straight waveguiding core regions 2072a and 2072b (based on whether the structure is viewed from the side or from the top), may have the same or a different length. Similarly, the vertically tapered down region 2073a (when viewed from the side) and the laterally tapered down region 2073b (when viewed from the side) may have the same or a different length, provided that the tip for both tapering down geometries ends at the same point in space. Furthermore, the taper regions do not need to be symmetric with respect to the central axis and also the tapering down slopes do not need to be straight and may be of any curve shape.

[0364] Lower-Refractive-index-Contrast-Waveguide Core LRCWC 2015/2050 preferably surrounds and embeds the Waveguide Core WC 2045. When viewed from the side, the Lower Refractive index Contrast Waveguide Core LRCWC 2015/2050 is sandwiched at the bottom by a Lower Waveguide Cladding LWCL 2005, and on the top by an Upper Waveguide Cladding UWCL 2055. As the Lower-Refractive-index-Contrast-Waveguide Core LRCWC 2015/2050 has a graded refractive index distribution along both the vertical and lateral directions, it can take the intermediate size beam launched at the tip region 2074a/2074b from the Waveguide Core WC 2045 and further expand the beam. After the beam has traveled a certain distance equivalent to the focal length of the graded refractive index lens structure, the beam will be collimated and reach the back large beam output/input port LB-PT 2077, from where another single-mode waveguide such as a single-mode optical fiber will continue to guide the light beam. The Lower Refractive index Contrast Waveguide Core LRCWC 2070 has a length of lLRCWC, a width of wLRCWC and a thickness of tLRCWC. The Lower Waveguide Cladding LWCL 2005 has a length of lLWCL, a width of wLWCL and a thickness of tLWCL. The Upper Waveguide Cladding UWCL 2055 has a length of lUWCL, a width of wUWCL and a thickness of tUWCL. The two side waveguide claddings SWCL 2076 have a length of lSWCL, a width of wSWCL and a thickness of tSWCL. The lengths of the waveguide claddings LWCL/UWCL/SWCL 2005/2055/2076, lLWCL, lUWCL, and lSWCL are about equal to the length of the low refractive index contrast waveguide core lLRCWC.

[0365] The refractive index of the Waveguide Core WC 2045 is nHRCWC. The refractive index of the Lower Refractive index Contrast Waveguide Core LRCWC 2015/2050 is nLRCWC(x, y), which means it is x and y coordinate dependent, with x being the lateral coordinate and y being the vertical coordinate. The refractive index of the Lower Waveguide Cladding LWCL 2005 is nLWCL. The refractive index of the Upper Waveguide Cladding UWCL 2055 is nUWCL. The refractive index of the Side Waveguide Cladding SWCL 2076 is nSWCL(y), which means it may also be y-coordinate dependent. It should be understood that the Side Waveguide Cladding SWCL 2076 may have either a uniform or non-uniform refractive index distribution. In other words, the refractive index of the Side Waveguide Cladding may or may not be a constant. In the latter case, it may be graded in the vertical direction. In a preferred embodiment, the refractive index of the Waveguide Core LRCWC 2015/2050 is not a constant. It is graded in the vertical direction and varies from the center plane of the core to the top and bottom border of the core. The variation can be represented by nLRCWC(y) with y being the vertical coordinate. In the lateral direction, the refractive index of the Lower Refractive index Contrast Waveguide Core LRCWC 2070 also have a graded profile. However, for a given vertical coordinate yo, the refractive index nLRCWC(x, y0) is graded within the core region and drops to nSWCL(y0), the refractive index value of the side cladding at the two side borders.

[0366] In an exemplary device, the front beam input/output port FB-PT 2071a/2071b is configured to receive/transmit a light beam typically having wavelength λ with a very small beam size. The mode size of the straight section of the Waveguide Core WC 2045 can be designed to match the mode size of a preceding very-small-size waveguide. The laterally and vertically tapering down section 2073a/2073b will partially enlarge the beam in both the vertical and the lateral directions to an intermediate size. The laterally and vertically graded Lower Refractive index Contrast Waveguide Core LRCWC is configured to take the intermediate size beam launched at region 2074a/2074b and further expand and collimate it. The back beam input/output port LB-PT 2077 is configured to receive/transmit a light beam typically having wavelength λ with a beam size that roughly equals the size of an optical fiber.

[0367] (i) An Exemplary Device

[0368] In an exemplary embodiment, the Waveguide Core WC 2045 is made up of silicon with a refractive index of nHRCWC=3.5, the Lower Refractive index Contrast Waveguide Core LRCWC 2015/2050 is made up of lead-titania-silica material mixture with mixture composite designed to give a refractive index distribution that approximates a parabolic distribution in both the vertical and the lateral directions as given by the equation: 4$n_{\mathrm{LRCWC}}\left(x,y\right)=1.61+0.09\left[1-\left(\frac{x^2+y^2}{{\left(5\mathrm{\mu m}\right)}^2}\right)\right].$

[0369] The Lower Waveguide Cladding LWCL 2005 is made up of silica-titania with a refractive index of nLWCL=1.5. The Upper Waveguide Cladding UWCL is made up of silica-titania with a refractive index of nUWCL=1.5. The Side Waveguide Cladding SWCL is made up of lead silica-titania with a refractive index distribution given in Table II.

[0370] The dimensions of the Waveguide Core WC 2045 are as follows: lHRCSWCa=10 μm, tHRCSWCa=0.3 μm, lHRCVTDWCa=30 μm, tHRCVTDDWCaSB=0.3 μm, tHRCVTDCaLB=0 μm, lHRCSWCb=10 μm, wHRCSWCb.=0.3 μm, lHRCLTDWCb=30 μm, wHRCLTDWCbSB=0.3 μm, wHRCLTDCbLB=0 μm. The dimensions of the Lower Refractive index Contrast Waveguide Core LRCWC 2015/2050 are as follows: lLRCWC=70 μm, wLRCWC=10 μm, tLRCWC=10 μm. The Lower Waveguide Cladding LWCL 2005 has a length of lLWCL=70 μm, a width of wLWCL=30 μm and a thickness of tLWCL=2 μm. The Upper Waveguide Cladding UWCL 2055 has a length of lUWCL=70 μm, a width of wUWCL=30 μm and a thickness of tUWCL=2 μm. The two side waveguide claddings SWCL 2076 have a length of lSWCL=70 μm, a width of wSWCL=10 μm and a thickness of tSWCL=10 μm. It should be appreciated by one skilled in the art that all parameter values used in this and other exemplary embodiments are approximate and that the actual values can vary significantly.

[0371] (ii) General Operation of the Device

[0372] FIG. 38 shows the results of a computer simulation of the spatial distribution of the electric field strength for the light input at λ−1.5 μm after being launched from the left into the small light beam input/output port 2071a/2071b. The mode size at the input end is 0.3 μm in both the lateral and vertical directions. As the tapering down section only lies towards the right for the last 30 μm in both the vertical and the lateral directions and the cascading beam expansion action occurs on both the left and the right part of the WC taper tip, the computer simulation is thus zoomed into the last 60 μm of the coupler structure. Although the computer simulation is only 2 dimensional, it can be applied to both the vertical and the lateral directions because the structures are very similar in this case. As can be seen from FIG. 38, the whole combined module coupler structure can transform a very small beam of 0.3 μm in size to a large size beam of 10 μm in both the vertical and the horizontal directions.

[0373] (iii) Device Fabrication Procedures

[0374] An exemplary procedure for fabricating a VSDT×LSDT+VGRIN×LGRIN ICMT device 2000 will now be described with reference to FIGS. 39A-N. This procedure is given for the purpose of illustration and not limitation, as there are other procedures that can be used to achieve the same fabrication results and other materials systems or device structures that can be utilized to fabricate devices with the same functional capabilities.

[0375] The VSDT×LSDT+VGRIN×LGRIN ICMT may be fabricated by starting with a Silica-On-Silicon (SOS) wafer, shown in FIG. 39A, which may be fabricated via a commercial process known to those skilled in the art. For an SOS wafer, a low refractive index layer of SiO2 2005 with a thickness of tLWC is already made on a Si substrate 2010. The fabrication of the VSDT×LSDT+VGRIN×LGRIN ICMT structure according to one embodiment is now described below.

[0376] As shown in FIGS. 39B-C, a graded refractive index distribution in the vertical direction may be achieved by depositing multiple sufficiently thin layers of photosensitive materials with different compositions 2015 on a lower cladding layer 2005. In such a case, a continuous distribution of the refractive index can be approximated by a series of small effective refractive index steps with each thin layer having a different refractive index value. Depending on the property of the dielectric material, an appropriate film deposition method can be used. These methods include evaporation, flame hydrolysis, sputtering, Ion-Assisted-Deposition, chemical vapor deposition, and others. An exemplary method is sol-gel spin or dip coating which offers the ability to vary the material composition of each thin layer easily. In the case of silica-based glass, the photosensitivity of the glass material may be enabled by incorporating Ge or Pb into the glass film. It should be understood that any optically transparent dielectric material in the spectrum region of interest to optical communication may be used for the deposition; examples include lead silica, germania-silica, titania-silica, silicon oxynitride, silicon nitride, polysilicon, silicon-rich-silica, silicon carbide, polymer and a combination of different materials. The parameter details of one preferred embodiment of the design for the GRIN layers has already been shown in Table II. Note that the refractive index distribution does not have to follow the parabolic profile and may be of any profile. It should also be understood that other film deposition techniques such as flame hydrolysis, sputtering, Ion-Assisted-Deposition and chemical vapor deposition may also be used to deposit the bottom half of the GRIN dielectric waveguide.

[0377] As shown in FIG. 39D, a thin silicon layer 2020, which is to be made into the high index contrast waveguide core, may be defined in another piece of bare Si wafer using, for example, ion implantation. This will form a thin silicon layer 2020 on an ion implanted layer 2025 that is sitting on top of a Si substrate 2030. This ion-implanted wafer may be flipped over and wafer-bonded to the GRIN dielectric-coated SiO2-Si wafer, as shown in FIG. 39E. The top thick Si part 2030 and the ion-implanted layer 2025 may then be removed using a lift-off technique such as rapid thermal annealing and/or wafer thinning. The result is shown in FIG. 39F. This technique may be modified if, for instance, a non-symmetric vertical-GRIN waveguide is desired, as will be described below.

[0378] To form a vertically as well as horizontally/laterally tapered down section, the fabrication steps are similar to those described above for exemplary device 4. A photoresist layer is first spin-coated on the Si waveguide layer 2020. A mask pattern 2035, shown in FIG. 39G, with a gray scaled transparency along the longitudinal direction and meanwhile a horizontal/lateral down/narrow taper can be used together with UV exposure and photoresist development to make a vertically as well as horizontally/laterally down tapered photoresist pattern 2040, as shown in FIG. 39H. Followed by dry etching, as shown in FIG. 39I, the vertically as well as horizontally/laterally down tapered photoresist pattern 2040 can be transferred to the high refractive index Si layer and form the vertically and horizontally/laterally tapered down/narrow Si section 2045, as shown in FIGS. 39J-K. It should again be noted that the interface between the top Si layer and the glass-based cladding material can be used as a natural stop during the dry etching process.

[0379] To form the top half of the vertically GRIN glass/polymer waveguide, a refractive-index-decreasing dielectric region 2050 is deposited as shown in FIG. 39L. Preferably photosensitive sol-gel silica is spin-coated in almost the same way as for the bottom half of the glass/polymer waveguide except that the order of the layers is now reversed. It should again be understood that the parabolic refractive index distribution cited here is only one example and, as is well known to those skilled in the art, other refractive index distributions may be used. On the very top, a relatively thick (say 3 μm) silica layer 2055 may be deposited to act as an upper cladding.

[0380] It should be noted that the sol-gel technique has an advantage in that the spin-coated film will change shape from conformal coating to planarized coating. The initial layer thickness may not be so even and uniform. However, due to the fact that the Si taper 2045 is generally only about 0.2˜0.5 μm high, after a few spin-on layers, the following layers should be flat and uniform. With a top cladding 2055, a buried GRIN planar waveguide 2015/2050 can thus be formed with the Si taper 2045 in the center of the GRIN waveguide core.

[0381] As has been described before, to form a dielectric channel waveguide with a GRIN distribution in the horizontal/lateral direction to confine light propagation, UV imprinting may be used since the deposited GRIN glass/polymer film may be made photosensitive. A GRIN channel mask 2060, as shown in FIG. 39M can be used to form a single mode GRIN channel waveguide 2065 to confine light in the horizontal/lateral direction, resulting in the structure shown in FIG. 39N.

[0382] It should be understood that the above dimensions and exemplary lengths are presented for the purposes of illustrating a useful embodiment of the device 2000 and are not intended to limit other embodiments of any exemplary device, or the device 2000. A variety of dimensions and sizes can be used, depending on the application desired, as well as the fabrication materials, processes and technologies that are employed.

[0383] Also, it should be understood that the shapes of the waveguides or the taper (for example the shapes as defined by the surfaces dividing the cladding regions and the core regions) do not generally have to be linear or in the form of straight lines and planar surfaces. Curved shapes and different waveguide dimensions may be utilized as long as they achieve the same functions such as waveguiding or optical mode size transformation with similar topological connections. This applies for all the surfaces of the waveguide structures of the various embodiments of the present invention, including the side surfaces, the top and bottom surfaces, and the input/output surfaces.

[0384] In addition, it should be understood that the substrate is used to mechanically support the waveguide structures, and can be made up of irregular shapes, or structures, or materials as long as it serves the function of providing mechanical support for the waveguide structures.

[0385] Furthermore, it should be understood that the output ports can also be used as input ports and the input ports can be used as output ports. This is due to the reciprocal nature of light propagation in passive optical devices and hence the bi-directional nature of the devices.

[0386] It should be understood to those skilled in the art that the device 2000 can be fabricated on a different substrate other than silicon substrate. In particular, it can be fabricated directly on InP or GaAs substrates used for making semiconductor photonic devices or integrated circuits and may be fabricated directly at the input/output ports of the photonic devices by sharing the same substrate as the photonic device.

[0387] (9) Exemplary Device 9: A Vertical-sharp-down-taper-cascaded-with-a-nonsymmetric-vertical-graded-refractive-index-(VSDT+NSVGRIN) Device

[0388] FIGS. 40A-C illustrates a ninth general embodiment of a combined module ICMT device 2100 involving a vertically down-tapered waveguide core cascaded with and connected to a large channel waveguide with a non-symmetric vertically graded refractive index distribution. In the lateral direction, the high refractive index contrast taper can be either gradually tapered up, as shown in FIG. 40B, or sharply tapered down, as shown in FIG. 40C. In the former case, the large channel waveguide has a step index profile in the lateral direction. In the latter case, the large channel waveguide has a graded index profile. Device 2100 differs from exemplary device 7 or 8 in that the vertical GRIN waveguide in device 2100 is non-symmetric.

[0389] The device 2100 can perform as a two-dimensional beam-size enlargement and collimating element in both the lateral and the vertical directions for a propagating optical beam, and can in particular enlarge and collimate an optical beam from a small semiconductor waveguide to enable the beam to match with a single mode optical fiber. The device is not limited to use as a beam enlarger/collimator but can also function as a beam reducer when the optical beam propagates in the reverse direction. Furthermore, the device can be used for direct light beam coupling into an optical fiber. It should be understood that these exemplary applications of device 2100 are intended to illustrate the uses for device 2100 and are not intended to limit the applications of other exemplary embodiments of device 2100 to these examples. The device can be referred to as a “vertical-sharp-down-taper-cascaded-with-a-nonsymmetric-vertical-graded-refractive-index (VSDT+NSVGRIN) ICMT”.

[0390] The present VSDT+NSVGRIN ICMT preferably includes a Waveguiding Core region occupied by Waveguide Core WC 2145/2150. This Waveguide Core WC 21415/2150 is sandwiched at the bottom by a Lower Waveguide Cladding LWC 2110 and on the top as well as at both sides by a vertically graded refractive medium 2155 that acts as the top and side cladding for the Waveguide Core WC 2145/2150 wherever the Waveguide Core WC 2145/2150 exists. The same graded refractive index medium 2155 acts as a Lower Refractive Index Contrast Waveguiding Core region. This Lower Refractive index Contrast Waveguiding Core region is occupied by Waveguide Core LRCWC 2155, and is further surrounded at the top by an even lower refractive index Upper Waveguide Cladding 2160.

[0391] When viewed from the side, the Waveguide Core WC 2145/2150 preferably includes a small beam input/output port SB-PT 2171a, a high refractive index contrast straight waveguiding core region SWC 2172a, a high refractive index contrast vertically down-tapered region VTD 2173a, and an intermediate beam output/input port region 2174a. The straight high refractive index contrast waveguiding core region SWCa 2172a has a length lHRCSWCa, and a thickness of tHRCSWCa. The high refractive index contrast vertically tapered down waveguiding core region VTDWC 2173a has a length of lHRCVTDWCa, a vertical thickness of tHRCVTDWCaSB at the small-beam input/output side, and a vertical thickness of tHRCVTDCaLB at the large-beam input/output side.

[0392] In the laterally up-tapering case, when viewed from the top, the Waveguide Core 2145 preferably includes a small beam input/output port SB-PT 2171b, a straight waveguiding core region SWC 2172b, a laterally up-tapered region LTU 2173b, a wider straight waveguiding core region WSWC 2175 and a large beam output/input port region 2174b. The straight waveguiding core region SWCb 2172b has a length lHRCSWCb, and a width of wHRCSWCb. The laterally up-tapered waveguiding core region LTUWC 2173b has a length of lHRCLTUWCb, a width of wHRCLTUWCbSB at the small-beam input/output side, and a width of wHRCLTUCbLB at the large-beam input/output side. The wider straight waveguide core region WSWC 2175 has a length of lHRCWSWCb and a width of wHRCWSWCb=wHRCLTUCbLB.

[0393] In the laterally down-tapering case, when viewed from the top, the Waveguide Core 2150 preferably includes a small beam input/output port SB-PT 2171c, a straight waveguiding core region SWC 2172c, a laterally down-tapered region LTD 2173c, and an intermediate beam output/input port region 2174c. The straight waveguiding core region SWCc 2172c has a length lHRCSWCc, and a width of wHRCSWCc. The laterally tapered down waveguiding core region LTDWC 2173c has a length of lHRCLTDWCc, a width of wHRCLTDWCcSB at the small-beam input/output side, and a width of wHRCLTDCcLB at the large-beam input/output side.

[0394] It should be understood that the straight waveguiding core regions 2171a and 2171b/c (based on whether the structure is viewed from the side or from the top), may have the same or a different length. Similarly, the vertically down-tapered region 2172a (when viewed from the side) and the laterally up/down-tapered region 2172b/c (when viewed from the side) may have the same or a different length, provided that in the case where the waveguide core is both laterally and vertically down-tapered, the tip for both down-tapering geometries ends at the same point in space. Furthermore, the taper regions do not need to be symmetric with respect to the central axis and also the down-tapering slope (or slopes) do(es) not need to be straight and may be of any curve shape.

[0395] Lower-Refractive-index-Contrast-Waveguide Core LRCWC 2155 surrounds and embeds the Waveguide Core WC 2145/2150 either partially or entirely. When viewed from the side, the Lower Refractive index Contrast Waveguide Core LRCWC 2155 is sandwiched at the bottom by a Lower Waveguide Cladding LWCL 2110, and on the top by an Upper Waveguide Cladding UWCL 2160. As the Lower-Refractive-index-Contrast-Waveguide Core LRCWC 2155 has a graded refractive index distribution in the vertical direction, it can take a vertically intermediate size beam launched at the tip region 2174a from the Waveguide Core WC 2145/2150 and further expand the beam. After the beam has traveled a certain distance equivalent to the focal length of the graded refractive index structure, the beam will be collimated and reach the back large beam output/input port LB-PT 2177, from where another single mode waveguide such as a single mode optical fiber will continue to guide the light beam. The Lower Refractive index Contrast Waveguide Core LRCWC 2155 has a length of lLRCWC, a width of WLRCWC and a thickness of tLRCWC. The Lower Waveguide Cladding LWCL 2110 has a length of lLWCL, a width of wLWCL and a thickness of tLWCL. The Upper Waveguide Cladding UWCL 2160 has a length of lUWCL, a width of wUWCL and a thickness of tUWCL. The side waveguide claddings SWCL 2176b/c have a length of lSWCL, a width of wSWCL and a thickness of tSWCL. The lengths of the waveguide claddings LWCL/UWCL/SWCL 2005/2055/2076, lLWCL, lUWCL, and lSWCL are about equal to the length of the low refractive index contrast waveguide core lLRCWC.

[0396] The refractive index of the Waveguide Core WC 2145/2150 is nHRCWC. The refractive index of the Lower Refractive index Contrast Waveguide Core LRCWC 2155 is nLRCWC(x, y), which means that it may be x- and y-coordinate dependent, with x being the lateral coordinate and y being the vertical coordinate. The refractive index of the Lower Waveguide Cladding LWCL 2110 is nLWCL. The refractive index of the Upper Waveguide Cladding UWCL 2160 is nUWCL. The refractive index of the Side Waveguide Cladding SWCL 2176b/c is nSWCL(y), which means it may also be y coordinate dependent. It should be understood that the Side Waveguide Cladding SWCL 2176b/c may have either a uniform or non-uniform refractive index distribution. In other words, the refractive index of the Side Waveguide Cladding may or may not be a constant. In the latter case, it may be graded in the vertical direction. Similar to exemplary device 6, the refractive index of the Lower Refractive index Contrast Waveguide Core LRCWC 2155 is preferably not a constant. It is graded in the vertical direction and varies from the bottom to the top. The variation can be represented by nLRCWC(y), with y being the vertical coordinate. In the lateral direction, the refractive index of the Lower Refractive index Contrast Waveguide Core LRCWC 2155 may have either a step or a graded profile. In the step profile case, for a fixed y value, the refractive index nLRCWC(x, y) has a fixed higher value within the core region and a lower value outside the core region. For the graded profile case, for a given y coordinate y0, the refractive index nLRCWC(x, y0) is graded within the core region and drops to nSWCL(y0), the refractive index value of the side cladding, at the two side borders.

[0397] In an exemplary device, the front beam input/output port FB-PT 2171a/b/c is configured to receive/transmit a light beam typically having wavelength λ with a very small beam size. The mode size of the straight section 2172a/b/c of the Waveguide Core WC 2145/2150 is preferably designed to match the mode size of a preceding very small size waveguide. The vertically down-tapering section 2173a will partially enlarge the beam in the vertical direction to an intermediate size. The vertically graded Lower Refractive index Contrast Waveguide Core LRCWC 2155 is configured to take the intermediate size beam launched at region 2174a and further expand and collimate it. Note that in device 2100, only the top half of a symmetric GRIN waveguide is fabricated on top of the Waveguide Core taper. The consequence is that the refractive index distribution is no longer symmetric in the vertical direction (Note that in the lateral direction across a channel waveguide, the refractive index distribution can still be made symmetric using, e.g., UV imprinting as has been explained). The coupler is functional because the situation is equivalent to using half of a lens with the Si taper located on the central axis of the lens. The lateral beam enlargement for both the laterally up tapering and down tapering cases is substantially the same as has been described for exemplary devices 7 and 8 and will thus not be repeated. The back beam input/output port LB-PT 2177 is configured to receive/transmit a light beam typically having wavelength λ with a beam size that roughly equals the size of an optical fiber.

[0398] (i) An Exemplary Device

[0399] In an exemplary embodiment, the Waveguide Core WC 2145/2150 is made up of silicon with a refractive index of nHRCWC=3.5. The Lower Refractive index Contrast Waveguide Core LRCWC 2155 is made up of lead-titania-silica material mixture with mixture composite designed to give a refractive index distribution that approximates half of a parabolic distribution in the vertical direction as governed by the following equation and detailed in Table III. 5$n_{\mathrm{LRCWC}}\left(y\right)=1.65+0.3\left[1-\left(\frac{y^2}{{\left(10\mathrm{\mu m}\right)}^2}\right)\right],y\ge 0$

TABLE III
The refractive index profile of a high focusing power
10 μm height half GRIN waveguide
coordinate y (μm)	LRCWC refractive index n	SWCL refractive index n
0.0-0.4	1.950	1.940
0.4-0.8	1.948	1.938
0.8-1.2	1.946	1.936
1.2-1.6	1.942	1.932
1.6-2.0	1.938	1.928
2.0-2.4	1.933	1.923
2.4-2.8	1.926	1.916
2.8-3.2	1.919	1.909
3.2-3.6	1.911	1.901
3.6-4.0	1.902	1.892
4.0-4.4	1.892	1.882
4.4-4.8	1.881	1.871
4.8-5.2	1.869	1.859
5.2-5.6	1.856	1.846
5.6-6.0	1.842	1.832
6.0-6.4	1.827	1.817
6.4-6.8	1.811	1.801
6.8-7.2	1.794	1.784
7.2-7.6	1.777	1.767
7.6-8.0	1.758	1.748
8.0-8.4	1.738	1.728
8.4-8.8	1.718	1.708
8.8-9.2	1.696	1.686
9.2-9.6	1.674	1.664
9.6-10.0	1.650	1.640
>10.0	1.470	1.470

[0400] The Lower Waveguide Cladding LWCL 2110 is made up of silica with a refractive index of nLWCL=1.47. The Upper Waveguide Cladding UWCL is made up of silica with a refractive index of nUWCL=1.47. The Side Waveguide Cladding SWCL is made up of lead silica-titania with a refractive index of distribution given in Table III.

[0401] For the case of a laterally up-tapered Waveguide Core WC 2145, the dimensions of the WC are as follows: lHRCSWCa=110 μm, tHRCSWCa=0.3 μm, lHRCVTDWCa=30 μm, tHRCVTDWCaSB=0.3 μm, tHRCVTDCaLB=0 μm, lHRCSWCb=10 μm, wHRCSWCb.=0.3 μm, lHRCLTUWCb=100 μm, wHRCLTUWCbSB=0.3 μm, wHRCLTUCbLB=10 μm, lHRCWSWCb=30 μm and wHRCWSWCb=10 μm. The dimensions of the Lower Refractive index Contrast Waveguide Core LRCWC 2155 are as follows: lLRCWC=170 μm, wLRCWC=10 μm, tLRCWC=10 μm. The Lower Waveguide Cladding LWCL 2110 has a length of lLWCL=170 μm, a width of wLWCL=30 μm and a thickness of tLWCL=2 μm. The Upper Waveguide Cladding UWCL 2160 has a length of lUWCL=170 μm, a width of wUWCL=30 μm and a thickness of tUWCL=2 μm. The two side waveguide claddings SWCL 2176b have a length of lSWCL=170 μm, a width of wSWCL=10 μm and a thickness of tSWCL=10 μm.

[0402] For the case of a laterally down-tapered Waveguide Core WC 2150, the dimensions of the WC are as follows: lHRCSWCa=10 μm, tHRCSWCa=0.3 μm, lHRCVTDWCa=30 μm, tHRCVTDWCaSB=0.3 μm, tHRCVTDCaLB=0 μm, lHRCSWCb=10 μm, wHRCSWCb.=0.3 μm, lHRCLTDWCb=30 μm, wHRCLTDWCbSB=0.3 μm, wHRCLTDCbLB=0 μm. The dimensions of the Lower Refractive index Contrast Waveguide Core LRCWC 2155 are as follows: lLRCWC=70 μm, wLRCWC=10 μm, tLRCWC=10 μm. The Lower Waveguide Cladding LWCL 2110 has a length of lLWCL=70 μm, a width of wLWCL=30 μm and a thickness of tLWCL=2 μm. The Upper Waveguide Cladding UWCL 2160 has a length of lUWCL=70 μm, a width of wUWCL=30 μm and a thickness of tUWCL=2 μm. The two side waveguide claddings SWCL 2176c have a length of lSWCL=70 μm, a width of wSWCL=10 μm and a thickness of tSWCL=10 μm. It should be appreciated by one skilled in the art that all parameter values used in this and other exemplary embodiments are approximate and that the actual values can vary significantly.

[0403] (ii) General Operation of the Device

[0404] FIG. 41 shows the results of a computer simulation of the spatial distribution of the electric field strength in the vertical direction for light input from either direction at λ=1.5 μm. The upper graph shows the behavior when light is input into the small light beam input/output port 2171a; The mode size at input/output port 2171a is 0.3 μm in the vertical direction. As the tapering down section only lies towards the right for the last 30 μm and the cascading beam expansion action occurs on both the left and the right part of the vertical WC taper tip, the computer simulation is thus zoomed into the last 60 μm of the coupler structure. The lower graph is similar. It shows the behavior when light is input to the large light beam output/input port 2177. Comparing the two graphs demonstrates that the device has good coupling efficiency in both directions.

[0405] The beam expansion in the lateral direction for the laterally tapered up and laterally tapered down cases are similar to what has been described for exemplary devices 7 and 8 respectively; these cases are not shown in FIG. 41.

[0406] As can be seen from FIG. 41, the combined module coupler structure can transform a very small beam of about 0.3 μm in size to a large size beam of about 10 μm in both the vertical and the horizontal directions. Very efficient bidirectional coupling is thus made possible by the supercoupler.

[0407] (iii) Device Fabrication Procedures

[0408] An exemplary procedure for fabricating a VSDT+NSVGRIN ICMT device 2100 will now be described with reference to FIGS. 42A-N. This procedure is given for the purpose of illustration and not limitation, as there are other procedures that can be used to achieve the same fabrication results and other materials systems or device structures that can be utilized to fabricate devices with the same functional capabilities.

[0409] The VSDT+NSVGRIN ICMT may be fabricated by starting with a Silicon-On-Insulator (SOI) wafer, as shown in FIG. 42A, which may be fabricated via a commercial process known to those skilled in the art. For an SOI wafer, a silicon layer 2105 is already made on an insulating SiO2 2110 which is on top on a silicon substrate 2115. The fabrication of the VSDT+NSVGRIN ICMT structure according to one embodiment is now described.

[0410] A Si taper may be fabricated by spin-coating a photoresist layer 2120 on the Si waveguide layer 2105, as shown in FIG. 42A. A mask pattern with a gray scale transparency along the longitudinal direction and also a laterally tapered up pattern 2125, as shown in FIG. 42B, or a laterally tapered down pattern 2130, as shown in FIG. 42C, can be used together with UV exposure and photoresist development to make a tapered photoresist pattern that is vertically tapered down and laterally tapered up (pattern 2135 in FIG. 42D) or down (pattern 2140 in FIG. 42E). Followed by dry etching, indicated in FIG. 42F, the tapered photoresist pattern 2135 or 2140 may be transferred to the high refractive index Si layer and form the corresponding Si section 2145 or 2150, shown in FIGS. 42G-I. The interface between the top Si layer and the lower SiO2 layer may be used as a natural stop during the dry etching process. A shadow mask based dry etching or a diffusion-limited wet etching may also be used to form the Si taper.

[0411] To form the top half of the vertically GRIN waveguide 2155, multiple layers of effective refractive-index-decreasing dielectrics may be deposited on top of the Si taper, as shown in FIG. 42J. Preferably photosensitive silica is spin-coated so that confinement of light in the horizontal/lateral direction may be easily achieved using UV imprinting. On the very top, a relatively thick (say 2 μm) silica layer 2160 may be deposited to act as an upper cladding.

[0412] As has already been discussed, to form a dielectric channel waveguide with either a GRIN or step refractive index distribution in the lateral direction to confine light propagation, UV imprinting may be used as the deposited vertically GRIN film can be made photosensitive. In this respect, a step channel mask 2165, as shown in FIG. 42K, or a GRIN channel mask 2170, as shown in FIG. 42L, may be used to form a single-mode step channel waveguide 2185, as shown in FIG. 42M, or GRIN channel glass waveguide 2190, as shown in FIG. 42N, to confine light in the horizontal/lateral direction.

[0413] One skilled in the art will recognize that high efficiency coupling from the buried GRIN channel waveguide to a single mode optical fiber or vice versa is not a problem as the mode size is already designed to match that of a single mode fiber. The chief consideration is the location for this joining. Preferably, the fiber is made to butt-join the GRIN channel waveguide at a fully expanded/collimated location rather than a focused location. The fiber is also preferably located at the first fully expanded location from the tip of the Si taper, in order to reduce light propagation losses in the glass channel waveguide.

[0414] It should be understood that the above dimensions and exemplary lengths are presented for the purposes of illustrating a useful embodiment of the device 2100 and are not intended to limit other embodiments of any exemplary device, or the device 2100. A variety of dimensions and sizes can be used, depending on the application desired, as well as the fabrication materials, processes and technologies that are employed.

[0415] Also, it should be understood that the shapes of the waveguides or the taper (for example the shapes as defined by the surfaces dividing the cladding regions and the core regions) do not generally have to be linear or in the form of straight lines and planar surfaces. Curved shapes and different waveguide dimensions may be utilized as long as they achieve the same functions such as waveguiding or optical mode size transformation with similar topological connections. This applies for all the surfaces of the waveguide structures of the various embodiments of the present invention, including the side surfaces, the top and bottom surfaces, and the input/output surfaces.

[0416] In addition, it should be understood that the substrate is used to mechanically support the waveguide structures, and can be made up of irregular shapes, or structures, or materials as long as it serves the function of providing mechanical support for the waveguide structures.

[0417] Furthermore, it should be understood that the output ports can also be used as input ports and the input ports can be used as output ports. This is due to the reciprocal nature of light propagation in passive optical devices and hence the bi-directional nature of the devices.

[0418] It should be understood to those skilled in the art that the device 2100 can be fabricated on a different substrate other than a silicon substrate. In particular, it can be fabricated directly on InP or GaAs substrates used for making semiconductor photonic devices or integrated circuits and may be fabricated directly at the input/output ports of the photonic devices by sharing the same substrate as the photonic device.

[0419] (10) Variations of Exemplary Devices and Integration of ICMT with V-(Grooves for Fiber Alignments Platform for Photonic Chips

[0420] In the above mentioned exemplary combined module ICMTs that involve connecting a vertical sharp-down-taper waveguide core with a lower-refractive-index-contrast vertically graded waveguide, only two cases of placing the taper in the GRIN waveguide have been discussed, namely at the center of a symmetric GRIN waveguide or at the bottom of a half-GRIN waveguide. One skilled in the art will recognize that the GRIN waveguide need not to be restricted to these two cases. For example, the GRIN waveguide may have a refractive index distribution that is similar to the bottom half of a symmetric GRIN profile, and the taper can then be fabricated near the top of the GRIN waveguide. As another example, the GRIN waveguide can be three quarters of a symmetric GRIN profile; as long as the taper is fabricated near the high-refractive-index region of the GRIN profile, cascaded light beam expansion or reduction can be achieved. In fact, the GRIN waveguide may have an arbitrary profile, and the taper may be placed within a relatively large tolerance around the high-index region of the GRIN profile. FIG. 43 shows the structure and simulation results of light coupling from either side to the other. Note that compared to device 2100 of FIG. 40A, the Si taper 2210 is now shifted upward into the GRIN region 2220 and is buried above the lower cladding SiO2 layer 2230. It can be seen that the while the taper to the half GRIN waveguide coupling is basically not changed as compared to the previous case, there is a slight increase in the reverse direction light coupling efficiency.

[0421] In terms of device fabrication, a silicon waveguide layer may be bonded on top of an X-SiO2-Si structure illustrated in FIG. 44A. X may be a dielectric thin film 2310 with a refractive index equal to the GRIN waveguide core. SiO2 layer 2320 is a lower cladding layer for the GRIN glass/polymer waveguide, and Si layer 2330 is the substrate. The structure can be easily achieved by, for example, sputtering a glass film 2310 on the SiO2-Si wafer 2320/2330. An ion-implanted silicon wafer with a structure of Si layer 2340 on ion-implanted layer 2350 on Si 2360, shown in FIG. 44B, can be flipped over and bonded with the X-SiO2-Si wafer. Si layer 2360 is lifted off as discussed previously, leaving the structure shown in FIG. 44C. The rest of the fabrication steps are similar to those described above for exemplary device 9, beginning with fabrication of a tapered waveguide core in Si layer 2340.

[0422] With respect to the various combined module ICMTs, at least three basic vertical structure configurations may be manufactured. While the symmetric GRIN waveguide structure offers the best coupling efficiency, it is the most challenging structure to fabricate as there is a need to bond an ion implanted Si wafer to a GRIN dielectric coated SiO2-Si wafer. However, it should be understood that the sol-gel spin-coating approach described above is only one exemplary way to fabricate such a structure; modifications of the fabrication process can be made that may simplify the fabrication process. For example, instead of using the sol-gel technique described above, any other thin film deposition technique including flame hydrolysis, sputtering, Ion-Assisted Deposition, evaporation and chemical vapor deposition may be used to deposit the graded refractive index layers. As a resullt, the wafer-bonding can be relatively easily done as long as the bottom half of the GRIN waveguide is of high quality.

[0423] One preferred technique for simplifying fabrication is to first deposit a relatively thin dielectric film having a refractive index about equal to that of the GRIN waveguide core onto a SiO2-Si wafer before wafer bonding to an ion implanted Si wafer. For example, sputtering is a well-established process for depositing such films; as a sputtered film is relatively thin, it will be less challenging to wafer-bond an ion implanted Si wafer to a sputtered dielectric-SiO2-Si wafer.

[0424] Another approach is to use a commercially available Si-SiO2-Si or SOI wafer, make the top Si waveguide layer into a taper and spin-coat a half GRIN waveguide. Although the resulting light-coupling efficiency is slightly lower as compared to couplers with a full GRIN waveguide, the commercial availability of SOI wafers makes this a simple and easy option in terms of fabrication.

[0425] In terms of photonic chip mounting and optical fiber alignment with the couplers of the present invention, there are various options. FIGS. 45A-C illustrates one process. After the formation of channel waveguides in the vertically GRIN glass waveguide layer 2410 using, for example, UV imprinting, photolithography, as illustrated in FIG. 45A, can be used to define the Si V-groove wet etching opening 2420. Selective dry etching of the GRIN glass waveguide layer 2410 and the insulating SiO2 layer 2430 can then be employed to define a vertical wall 2440 in the GRIN glass waveguide layer, and Si V-grooves 2450 can be wet etched through the dry etched V-groove openings, as shown in FIG. 45B. To fabricate a photonic chip recess, another photolithography process can be carried out to define the recess/well opening 2460. Dry etching can be carried out to etch the recess/well to a precise depth. FIG. 45C illustrates a section of the completed device. Metal contact pads 2470 as well as electrical conduction paths may be made by metal evaporation. Photonic chip 2480 may be mounted and soldered in the recess/well with slight heating to ensure good adhesion and electrical contact. The silicon wafer with the photonic chips attached and the Si V-grooves already made can be diced into small pieces. Subsequently, optical fiber arrays 2490 can be mounted in the Si V-grooves and fixed.

[0426] The process is readily adaptable to multiport devices, as illustrated in FIG. 46, where photonic chip 2480 may comprise one or more semiconductor optical devices connected by waveguides 2482 to multiport integrated couplers of the present invention 2484. These devices, in turn, couple to optical fibers 2490.

[0427] While the exemplary devices described above use a silicon substrate and a silicon based high refractive index taper, it should be understood that these materials are only meant to illustrate exemplary cases. The embodiments of the present invention also include the use of other suitable materials for the substrate and the high index waveguide core or taper, wherein these suitable materials include compound semiconductor based material such as gallium arsenide, indium phosphide and gallium nitride, or an optical crystal based material such as lithium niobate, lithium tantalate and barium titanate, or a dielectric material such high index glasses.

[0428] IV. Applications

[0429] The applications of the mode transformation couplers of the present invention are numerous as the technology addresses the bottleneck of the present photonic integrated circuit (PIC) technologies. Couplers are used in the pigtailing and packaging of almost all semiconductor and optical crystal based photonic devices, especially those with multi-function and multiple ports. One application is in optical communication, where a coupler can be used for the packaging of all kinds of semiconductor and optical crystal based devices including semiconductor lasers, modulators, switches, mulitplexers/demultiplexers, amplifiers, power splitters and so on. Presently, there are a number of technologies that are producing these photonic devices, such as III-V-based OEICs, Si-based optical or photonic MEMS, SOI- and SiGe-based integrated optical systems. All these will need mode conversion couplers to link to each other and to the outside world.

[0430] Another application is the concept of a photonic breadboard on which different integrated photonic chips are mounted and interconnected to one another via couplers of the present invention as shown in FIG. 47. Such an optical breadboard can be used to construct a system and test its function or performance before a fully integrated system chip is fabricated.

[0431] Note that a future trend of photonics is in the integration of multiple functional components on the same chip with multiple input and output ports to be connected to fiber arrays. In addition to optical communication, these chips will basically do the work that today is done by microelectronics chips, but at a much faster speed than their electronic counterparts. It can thus be foreseen that the cost of each component will drastically drop through photonic integration, as has happened for semiconductor-based electronics. The couplers of the present invention together with the associated packaging technology provides a significant reduction in the overall cost of such a multi-port photonic chip. The application areas of these photonic chips are potentially very wide, encompassing, for example, processors, computers, sensors, etc.

[0432] The foregoing description has provided exemplary embodiments of multiport integrated couplers and processes for fabricating these exemplary devices; these examples are intended to illustrate and not to limit the scope of the invention. One skilled in the art will recognize that various modifications are possible. For example, the waveguides are described with reference to coupling with particular optical devices such as semiconductor optical devices and optical fibers. One skilled in the art will recognize that the utility of the waveguides according to the present invention is not limited to the particular devices mentioned herein; indeed, the waveguides may be used with any optical device, and the dimensions of the waveguides may be varied for optimal matching to the optical device. Therefore, the scope of the present invention should be determined by the following claims, including their full range of equivalents.

Claims

1. An optical mode transformer comprising: a substrate; a lower waveguide cladding layer disposed on the substrate, the lower waveguide cladding layer having a first refractive index and an upper surface; a waveguide core disposed on the upper surface of the lower waveguide cladding layer, the waveguide core having a long axis, the waveguide core having a second refractive index, the ratio of the second refractive index to the first refractive index being at least about 1.3, the waveguide core further having a first end optically coupled to a small beam port, a second end defining an intermediate beam port, and an upper surface; side waveguide cladding disposed on the upper surface of the lower waveguide cladding layer adjacent to both sides of the waveguide core, the side waveguide cladding having a third refractive index, the ratio of the second refractive index to the third refractive index being at least about 1.3, the side waveguide cladding further having an upper surface; and an upper waveguide cladding layer disposed on the upper surface of the waveguide core and the upper surface of the side waveguide cladding, the upper waveguide cladding having a fourth refractive index, the ratio of the second refractive index to the fourth refractive index being at least about 1.3; the optical mode transformer being configured such that the waveguide core has a vertical taper wherein a thickness of the waveguide core in a dimension normal to the substrate surface decreases along the long axis from a first thickness value at a first point near the small beam port to a second thickness value at a second point near the intermediate beam port, the second thickness value being smaller than a critical thickness value, the critical thickness value being defined as a thickness value below which a significant portion of the energy of a light beam having a small mode size received at the small beam port and propagating in the waveguide core penetrates into at least one of the upper waveguide cladding layer and the lower waveguide cladding layer, thereby enlarging the small mode size.

2. An optical mode transformer for guiding a light beam and transforming a mode size of the light beam, the optical mode transformer having a small beam port at a small-beam end and a large beam port at a large-beam end, the optical mode transformer comprising: a substrate; a lower waveguide cladding layer disposed on the substrate, the lower waveguide cladding layer having a first refractive index and an upper surface; a waveguide core disposed on the upper surface of the lower waveguide cladding layer, the waveguide core having a long axis and having a cross section in a plane normal to the long axis, the waveguide core having a second refractive index, the ratio of the second refractive index to the first refractive index being at least about 1.3, the waveguide core further having a first end optically coupled to the small beam port, a second end defining an intermediate beam port, and an upper surface; side waveguide cladding disposed on the upper surface of the lower waveguide cladding and adjacent to the waveguide core, the side waveguide cladding having a third refractive index, the ratio of the second refractive index to the third refractive index being at least about 1.3, the side waveguide cladding further having an upper surface; and an upper waveguide cladding disposed on the upper surface of the waveguide core and the upper surface of the side waveguide cladding, said upper waveguide cladding having a fourth refractive index, the ratio of the second refractive index to the fourth refractive index being at least about 1.3; the optical mode transformer being configured such that: in a first region along the long axis between the small beam port and a transition point, the waveguide core cross section has a thickness in a dimension normal to the substrate surface that is substantially constant and equal to a first thickness value; in a second region along the long axis between the transition point and the intermediate beam port, the waveguide core cross section has a thickness that changes along the long axis from the first thickness value to a second thickness value smaller than the first thickness value, the second thickness value being smaller than a critical thickness value, the critical thickness value being defined as a thickness value below which a significant portion of the energy of a light beam having a small mode size received at the small beam port and propagating in the waveguide core penetrates into at least one of the upper waveguide cladding layer and the lower waveguide cladding layer, thereby enlarging the small mode size; and in a third region along the long axis between the intermediate beam port and the large beam port, the waveguide core cross section has a thickness that is substantially constant and approximately equal to the second thickness value.

3. The optical mode transformer of claims 1 or 2, wherein the second thickness value is substantially equal to zero.

4. The optical mode transformer of claims 1 or 2, wherein the thickness of the waveguide core changes substantially uniformly from the first thickness value to the second thickness value.

5. The optical mode transformer of claims 1 or 2, wherein the substrate comprises silicon.

6. The optical mode transformer of claims 1 or 2, wherein the waveguide core comprises silicon.

7. The optical mode transformer of claims 1 or 2, wherein the lower waveguide cladding comprises silicon dioxide.

8. The optical mode transformer of claims 1 or 2, wherein each of the side waveguide cladding and the upper waveguide cladding comprises a mixture of silicon dioxide and titanium dioxide.

9. The optical mode transformer of claim 2, wherein a light beam having an initial mode size enters the waveguide core from the small beam port and exits at the large beam port having a final mode size larger in a dimension normal to the substrate surface than the initial mode size.

10. The optical mode transformer of claim 2, wherein a light beam having an initial mode size enters at the large beam port and exits the waveguide core at the small beam port having a final mode size smaller in a dimension normal to the substrate surface than the initial mode size.

11. The optical mode transformer of claims 1 or 2, wherein the waveguide core further has a lateral taper along the direction of light propagation, wherein a width of the waveguide core in a dimension parallel to the substrate surface and transverse to the direction of light propagation increases from a first width to a second width, the second width being substantially equal to a desired large mode size of a light beam.

12. The optical mode transformer of claims 1 or 2, wherein the waveguide core further has a lateral taper along the direction of light propagation, wherein a width of the waveguide core decreases from a first width value to a second width value, the second width value being smaller than a critical width value, the critical width value being defined as a width value below which a significant portion of the energy of a light beam having a small mode size received at the small beam port and propagating in the waveguide core penetrates into the side waveguide cladding, thereby enlarging the small mode size.

13. An optical mode transformer comprising: a substrate; a lower waveguide cladding layer disposed on the substrate and having a first refractive index and an upper surface; a waveguide core disposed on the upper surface of the lower waveguide cladding layer, the waveguide core having a long axis, the waveguide core having a second refractive index, the ratio of the second refractive index to the first refractive index being at least about 1.3, the waveguide core further having a first end optically coupled to a small beam port, a second end defining an intermediate beam port, and an upper surface; side waveguide cladding disposed on the upper surface of the lower waveguide cladding layer adjacent to both sides of the waveguide core, the side waveguide cladding having a third refractive index, the ratio of the second refractive index to third refractive index being at least about 1.3, the side waveguide cladding further having an upper surface; and an upper waveguide cladding layer disposed on the upper surface of the waveguide core and the upper surface of the side waveguide cladding, the upper waveguide cladding having a fourth refractive index, the ratio of the second refractive index to the fourth refractive index being at least about 1.3; the optical mode transformer being configured such that the waveguide core has a lateral taper wherein a width of the waveguide core in a dimension parallel to the substrate surface and transverse to the long axis decreases along the direction of light propagation from a first width value at a first point near the small beam port to a second width value at a second point near the intermediate beam port, the second width value being smaller than a critical width value, the critical width value being defined as a width value below which a significant portion of the energy of a light beam having a small mode size received at the small beam port and propagating in the waveguide core penetrates into the side waveguide cladding, thereby enlarging the small mode size.

14. An optical mode transformer comprising: a substrate; a lower waveguide cladding layer disposed on the substrate and having a first refractive index and an upper surface; a waveguide core disposed on the upper surface of the lower waveguide cladding layer, the waveguide core having a long axis and having a cross section in a plane normal to the long axis, the waveguide core having a second refractive index, the ratio of the second refractive index to the first refractive index being at least about 1.3, the waveguide core further having a first end optically coupled to a small beam port, a second end defining an intermediate beam port, and an upper surface; side waveguide cladding disposed on the upper surface of the lower waveguide cladding and adjacent to the waveguide core, the side waveguide cladding having a third refractive index, the ratio of the second refractive index to the third refractive index being at least about 1.3, the side waveguide cladding further having an upper surface; and an upper waveguide cladding disposed on the upper surface of the waveguide core and the upper surface of the side waveguide cladding, said upper waveguide cladding having a fourth refractive index, the ratio of the second refractive index to the fourth refractive index being at least about 1.3; the optical mode transformer being configured such that: in a first region along the long axis between the small beam port and a transition point, the waveguide core cross section has a width that is substantially constant and equal to a first width value; in a second region along the long axis between the transition point and the intermediate beam port, the waveguide core cross section has a width in a dimension parallel to the substrate surface and transverse to the long axis that changes along the long axis from the first width value to a second width value smaller than the first width value, the second width value being smaller than a critical width value, the critical width value being defined as a width value below which a significant portion of the energy of a light beam having a small mode size received at the small beam port and propagating in the waveguide core penetrates into the side waveguide cladding, thereby enlarging the small mode size; and in a third region along the long axis between the intermediate beam port and a large beam port, the waveguide core cross section has a width that is substantially constant and approximately equal to the second width value.

15. The optical mode transformer of claims 13 or 14, wherein the second width value is substantially equal to zero.

16. The optical mode transformer of claims 13 or 14, wherein the width of the waveguide core changes substantially uniformly from the first width value to the second width value.

17. The optical mode transformer of claims 13 or 14, wherein the substrate comprises silicon.

18. The optical mode transformer of claims 13 or 14, wherein the waveguide core comprises silicon.

19. The optical mode transformer of claims 13 or 14, wherein the lower waveguide cladding comprises silicon dioxide.

20. The optical mode transformer of claims 13 or 14, wherein each of the side waveguide cladding and the upper waveguide cladding comprises a mixture of silicon dioxide and titanium dioxide.

21. The optical mode transformer of claim 14, wherein a light beam having an initial mode size enters the waveguide core form the small beam port and exits at the large beam port, having a final mode size larger in a dimension parallel to the substrate surface and transverse to the direction of light propagation than the initial mode size.

22. The optical mode transformer of claim 14, wherein a light beam having an initial mode size enters the waveguide core from the large beam port and exits at the small beam port having a final mode size larger in a dimension parallel to the substrate surface and transverse to the direction of light propagation than the initial mode input beam.

23. The optical mode transformer of claims 13 or 14, wherein the waveguide core further has a vertical taper along the direction of light propagation, wherein a thickness of the waveguide core in a dimension normal to the substrate surface increases from a first thickness to a second thickness, wherein the second thickness is approximately equal to a desired large mode size of a light beam.

24. The optical mode transformer of claims 13 or 14, wherein the waveguide core has a vertical taper along the direction of light propagation, wherein a thickness of the waveguide core in a dimension normal to the substrate surface decreases from a first thickness value to a second thickness value, the second thickness value being smaller than a critical thickness value, the critical thickness value being defined as a thickness value below which a significant portion of the energy of a light beam having a small mode size received at the small beam port and propagating in the waveguide core penetrates into at least one of the upper waveguide cladding layer and the lower waveguide cladding layer, thereby enlarging the small mode size.

25. An optical mode transformer comprising: a substrate; a lower waveguide cladding layer disposed on the substrate and having a first refractive index, an upper surface and side surfaces; a waveguide core disposed on the upper surface of the lower waveguide cladding layer, the waveguide core having a long axis, the waveguide core having a second refractive index, the ratio of the second refractive index to the first refractive index being at least about 1.3, the waveguide core further having a first end optically coupled to a small beam port, a second end defining an intermediate beam port, and an upper surface; side waveguide cladding disposed on the side surfaces of the lower waveguide cladding layer adjacent to both sides of the waveguide core, the side waveguide cladding having a third refractive index, the ratio of the second refractive index to the third refractive index being at least about 1.3, the side waveguide cladding further having an upper surface; and an upper waveguide cladding layer disposed on the upper surface of the waveguide core and the upper surface of the side waveguide cladding, the upper waveguide cladding having a fourth refractive index, the ratio of the second refractive index to the fourth refractive index being at least about 1.3; the optical mode transformer being configured such that the waveguide core has a lateral taper wherein a width of the waveguide core in a dimension parallel to the substrate surface and transverse to the long axis increases along the direction of light propagation from a first width value at a first point near the small beam port to a second width value at a second point near the intermediate beam port, the second width value being substantially equal to a desired value that defines a large mode size of a light beam.

26. An optical mode transformer comprising: a substrate; a lower waveguide cladding layer disposed on the substrate and having a first refractive index, an upper surface and side surfaces; a waveguide core disposed on the upper surface of the lower waveguide cladding layer, the waveguide core having a long axis and having a cross section in a plane normal to the long axis, the waveguide core having a second refractive index, the ratio of the second refractive index to the first refractive index being at least about 1.3, the waveguide core further having a first end optically coupled to a small beam port, a second end defining an intermediate beam port, and an upper surface; side waveguide cladding disposed on the side surfaces of the lower waveguide cladding and adjacent to the waveguide core, the side waveguide cladding having a third refractive index, the ratio of the second refractive index to the third refractive index being at least about 1.3, the side waveguide cladding further having an upper surface; and an upper waveguide cladding disposed on the upper surface of the waveguide core and the upper surface of the side waveguide cladding, said upper waveguide cladding having a fourth refractive index, the ratio of the second refractive index to the fourth refractive index being at least about 1.3; the optical mode transformer being configured such that: in a first region along the direction of light propagation between the small beam port and a transition point, the waveguide core cross section has a width in a dimension parallel to the substrate surface and transverse to the long axis that is substantially constant and equal to a first width value; in a second region along the direction of light propagation between the transition point and the intermediate beam port, the waveguide core cross section has a width that changes along the long axis from the first width value to a second width value larger than the first width value, the second width value being substantially equal to a desired value that defines a large mode size of a light beam; and in a third region along the direction of light propagation between the intermediate beam port and a large beam port, the waveguide core cross section has a width that is approximately constant and equal to the second width value.

27. The optical mode transformer of claims or, wherein the second width value is substantially equal to a mode size of an optical fiber.

28. The optical mode transformer of claims or, wherein the width of the waveguide core changes substantially uniformly from the first width value to the second width value.

29. The optical mode transformer of claims 25 or 26, wherein the substrate comprises silicon.

30. The optical mode transformer of claims 25 or 26, wherein the waveguide core comprises silicon.

31. The optical mode transformer of claims 25 or 26, wherein the lower waveguide cladding comprises silicon dioxide.

32. The optical mode transformer of claims 25 or 26, wherein each of the side waveguide cladding and the upper waveguide cladding comprises a mixture of silicon dioxide and titanium dioxide.

33. The optical mode transformer of claim 26, wherein a light beam having an initial mode size enters the waveguide core from the small beam port and exits at the large beam port having a final mode size larger in a dimension parallel to the substrate surface and transverse to the direction of light propagation than the initial mode size.

34. The optical mode transformer of claim 26, wherein a light beam having an initial mode size enters the waveguide core at the large beam port and exits at the small beam port having a final mode size smaller in a dimension parallel to the substrate surface and transverse to the direction of light propagation than initial mode size.

35. The optical mode transformer of claims 25 or 26, wherein the waveguide core further has a vertical taper along the direction of light propagation, wherein a thickness of the waveguide core in a dimension normal to the substrate surface to increase from a first thickness value to a second thickness value, wherein the second thickness value is approximately equal to a desired large mode size of a light beam.

36. The optical mode transformer of claims 25 or 26, wherein the waveguide core has a vertical taper along the direction of light propagation, wherein a thickness of the waveguide core in a dimension normal to the substrate surface to decrease from a first thickness value to a second thickness value, the second thickness being smaller than a critical thickness value, the critical thickness value being defined as a thickness value below which a significant portion of the energy of a light beam having a small mode size received at the small beam port and propagating in the waveguide core penetrates into at least one of the upper waveguide cladding layer and the lower waveguide cladding layer, thereby enlarging the small mode size.

37. An optical waveguide comprising: a substrate having a substrate surface; a lower waveguide cladding disposed on the substrate surface; a non-cylindrical waveguide core aligned in axial direction disposed on the lower waveguide cladding; said waveguide core having a center and an outer border; and an upper waveguide cladding disposed on the waveguide core, the waveguide core having a refractive index having a value that is graded in the y-coordinate and gradually decreases from a maximum effective refractive index at the center of the core to a minimum effective refractive index at the outer border of said waveguide core, the y-coordinate representing a distance from the substrate surface.

38. The optical waveguide of claim 37, wherein said waveguide core has a refractive index that is graded in the x-coordinate and gradually decreases from a maximum effective refractive index at the center of the core to a minimum effective refractive index at the outer border of said waveguide core, the x-coordinate representing a direction transverse to said y-coordinate and perpendicular to said axial direction.

39. The optical waveguide of claim 37, wherein said waveguide core has a refractive index that is constant in the x-coordinate, the x-coordinate representing a direction transverse to said y-coordinate and perpendicular to said axial direction.

40. An optical waveguide comprising: a substrate having a substrate surface; a lower waveguide cladding disposed on the substrate surface; a non-cylindrical waveguide core aligned in an axial direction disposed on the lower waveguide cladding; said waveguide core having a center and an outer border; an upper waveguide cladding disposed on the waveguide core, the waveguide core having a first refractive index distribution that is graded in a first direction normal to the substrate surface and that gradually decreases from a maximum effective refractive index at the center of the core to a first minimum effective refractive index at the outer border of said waveguide core, and wherein said waveguide core has a second refractive index distribution that is graded in a second direction transverse to said first direction perpendicular to said axial direction and that gradually decreases from said maximum effective refractive index at the center of the core to a second minimum effective refractive index at the outer border of said waveguide core.

41. An optical waveguide comprising: a substrate having a substrate surface; a lower waveguide cladding disposed on the substrate surface; a non-cylindrical waveguide core aligned in an axial direction disposed on the lower waveguide cladding; said waveguide core having a center and an outer border; an upper waveguide cladding disposed on the waveguide core, the waveguide core having a refractive index having a value that is graded in the y-coordinate and gradually decreases from a maximum effective refractive index at the center of the core to a minimum effective refractive index at the outer border of said waveguide core, the y-coordinate representing a distance from the substrate surface, and wherein said waveguide core has a refractive index that is constant in the x-coordinate, the x-coordinate representing a direction transverse to said y-coordinate and perpendicular to said axial direction.

42. An optical waveguide comprising: a substrate having a substrate surface; a lower waveguide cladding disposed on the substrate surface; a non-cylindrical waveguide core aligned in axial direction disposed on the lower waveguide cladding; said waveguide core having a center and an outer border; and an upper waveguide cladding disposed on the waveguide core, the waveguide core having a refractive index having a value that is constant in the y-coordinate, the y-coordinate representing a distance from the substrate surface.

43. The optical waveguide of claim 42, wherein said waveguide core has a refractive index that is graded in the x-coordinate and gradually decreases from a maximum effective refractive index at the center of the core to a minimum effective refractive index at the outer border of said waveguide core, the x-coordinate representing a direction transverse to said y-coordinate and perpendicular to said axial direction.

44. The optical waveguide of claim 42, wherein said waveguide core has a refractive index that is constant in the x-coordinate, the x-coordinate representing a direction transverse to said y-coordinate and perpendicular to said axial direction.

45. An optical waveguide comprising: a substrate having a substrate surface; a lower waveguide cladding disposed on the substrate surface; a non-cylindrical waveguide core aligned in axial direction disposed on the lower waveguide cladding; said waveguide core having a center and an outer border; and an upper waveguide cladding disposed on the waveguide core, the waveguide core having a refractive index having a value that is constant in the y-coordinate, the y-coordinate representing a distance from the substrate surface, and wherein said waveguide core has a refractive index that is graded in the x-coordinate and gradually decreases from a maximum effective refractive index at the center of the core to a minimum effective refractive index at the outer border of said waveguide core, the x-coordinate representing a direction transverse to said y-coordinate and perpendicular to said axial direction.

46. An optical waveguide comprising: a substrate having a substrate surface; a lower waveguide cladding disposed on the substrate surface; a non-cylindrical waveguide core aligned in axial direction disposed on the lower waveguide cladding; said waveguide core having a center and an outer border; and an upper waveguide cladding disposed on the waveguide core, the waveguide core having a refractive index having a value that is constant in the y-coordinate, the y-coordinate representing a distance from the substrate surface, and wherein said waveguide core has a refractive index that is constant in the x-coordinate, the x-coordinate representing a direction transverse to said y-coordinate and perpendicular to said axial direction.

47. An optical mode transformer comprising: a substrate having a substrate surface; a lower waveguide cladding disposed on the substrate surface, the lower waveguide cladding having a refractive index distribution that varies according to a first function of a y-coordinate, the y-coordinate representing a distance from the substrate surface, the first function having a maximum value and a minimum value, the lower waveguide cladding further having an upper surface; a waveguide core disposed on the upper surface of the lower waveguide cladding, the waveguide core having a core refractive index, the ratio of the core refractive index to the maximum value of the first function being at least about 1.3, the waveguide core further having a first end located substantially at a small beam port, a second end defining an intermediate beam port, and an upper surface; and an upper waveguide cladding disposed on the upper surface of the waveguide core and on the upper surface of the lower waveguide cladding, the upper waveguide cladding having a refractive index distribution that varies as a second function of a y-coordinate, the second function having a maximum value and a minimum value, the ratio of the core refractive index to the maximum value of the second function being at least about 1.3; the optical mode transformer being configured such that the waveguide core has a vertical taper along the long axis, the vertical taper being a changing thickness of the waveguide core in a dimension normal to the substrate surface, wherein the thickness decreases along the long axis from a first thickness value at a first point near the small beam port to a second thickness value at a second point near the intermediate beam port, the second thickness value being less than a critical thickness value, the critical thickness value being defined as a thickness value below which a significant portion of the energy of a light beam having a small mode size received at the small beam port and propagating in the waveguide core penetrates into at least one of the upper waveguide cladding layer and the lower waveguide cladding layer, thereby enlarging the small mode size.

48. The optical mode transformer of claim 47, further comprising a low refractive index buffer layer between said waveguide core and said lower waveguide cladding.

49. The optical mode transformer of claim 47, further comprising a low refractive index buffer layer between said waveguide core and said upper waveguide cladding.

50. An optical mode transformer comprising: a substrate having a substrate surface; a lower waveguide cladding disposed on the substrate surface, the lower waveguide cladding having a refractive index distribution that varies according to a first function of a y-coordinate, the y-coordinate representing a distance from the substrate surface, the first function having a maximum value and a minimum value, the lower waveguide cladding further having an upper surface; a waveguide core disposed on the upper surface of the lower waveguide cladding, the waveguide core having a core refractive index, the ratio of the core refractive index to the maximum value of the first function being at least about 1.3, the waveguide core further having a first end located substantially at a small beam port, a second end defining an intermediate beam port, and an upper surface; and an upper waveguide cladding disposed on the upper surface of the waveguide core and on the upper surface of the lower waveguide cladding, the upper waveguide cladding having a refractive index distribution that varies as a second function of a y-coordinate, the second function having a maximum value and a minimum value, the ratio of the core refractive index to the maximum value of the second function being at least about 1.3; the optical waveguide being configured such that: in a first region along the long axis between the small beam port and a transition point, the waveguide core cross section has a thickness in a dimension normal to the substrate surface that is substantially constant and equal to a first thickness value; in a second region along the long axis between the transition point and the intermediate beam port, the waveguide core cross section has a thickness that changes along the long axis from the first thickness value to a second thickness value smaller than the first thickness value, the second thickness being small enough to cause a small mode size of a small light beam received at the small beam port to propagate into at least one of the upper waveguide cladding layer and the lower waveguide cladding layer, thereby enlarging the small mode size; and in a third region along the long axis between the intermediate beam port and the large beam port, the waveguide core cross section has a thickness that is substantially constant and approximately equal to the second thickness value.

51. The optical mode transformer of claim 50, further comprising a low refractive index buffer layer between said waveguide core and said lower waveguide cladding.

52. The optical mode transformer of claim 50, further comprising a low refractive index buffer layer between said waveguide core and said lower waveguide cladding.

53. The optical mode transformer of claims 47 or 50, wherein: the lower waveguide cladding comprises a first plurality of lower cladding layers substantially parallel to the substrate, wherein each lower cladding layer has a layer-specific refractive index that is a function of the y-coordinate; and the upper waveguide cladding comprises a second plurality of upper cladding layers, wherein each upper cladding layer has a layer-specific refractive index that is a function of the y coordinate.

54. The optical mode transformer of claims 47 or 50, wherein, for any value of the y-coordinate: the effective layer-specific refractive index of each of the first plurality of lower cladding layers is higher than the layer-specific refractive index of the lower cladding layer below; and the effective layer-specific refractive index of each of the second plurality of upper cladding layers is lower than the layer-specific refractive index of the upper cladding layer below.

55. The optical mode transformer of claims 47 or 50, wherein the layer-specific refractive index of each of the first plurality of lower cladding layers forms a first refractive-index distribution that is symmetric with a second refractive-index distribution formed by the layer-specific refractive index of each of the second plurality of upper cladding layers.

56. The optical mode transformer of claims 47 or 50, wherein the first and second distributions together comprise a substantially parabolic distribution.

57. The optical mode transformer of claims 47 or 50, wherein the first function has a substantially parabolic dependence on the y-coordinate and the second function has a substantially parabolic dependence on the y-coordinate.

58. The optical mode transformer of claims 47 or 50, wherein: the difference between the maximum value of the first function and the minimum value of the first function is not less than about 0.02; and the difference between the maximum value of the second function and the minimum value of the second function is not less than about 0.02.

59. The optical mode transformer of claims 47 or 50, wherein: the first function is a constant function of the y-coordinate; and the upper waveguide cladding comprises a plurality of upper cladding layers substantially parallel to the substrate, wherein each upper cladding layer has a layer-specific refractive index that is a function of the x coordinate.

60. The optical mode transformer of claims 47 or 50, wherein for any value of the y-coordinate: the first function is a stepwise function of the x-coordinate having substantially a first value in a first range of x-coordinate values, substantially a second value in a second range of x-coordinate values, and substantially the first value in a third range of x-coordinate values, wherein the second value is higher than the first value and wherein the waveguide core is located at a position having x-coordinate values within the second range, wherein the x-coordinate is in the axial direction parallel to the surface of said optical mode transformer and perpendicular to the propagation direction of the light through said optical mode transformer.

61. The optical mode transformer of claims 47 or 50, wherein the waveguide core further has a lateral taper along the direction of light propagation, the lateral taper causing a width of the waveguide core in a dimension parallel to the substrate surface and transverse to the direction of light propagation to increase from a first width value to a second width value, the second width value being substantially equal to a desired large mode size of a light beam.

62. The optical mode transformer of claims 47 or 50, wherein the waveguide core has a lateral taper along the direction of light propagation, the lateral taper causing a width of the waveguide core to decrease from a first width value to a second width value, the second width value being smaller than a critical width value, the critical width value being defined as a width value below which a significant portion of the energy of a light beam having a small mode size received at the small beam port and propagating in the waveguide core penetrates into the waveguide cladding, thereby enlarging the small mode size.

63. The optical mode transformer of claims 47 or 50, wherein: a light beam having a small mode size enters the optical waveguide at the small beam port, the small mode size being substantially equal to a mode size of a semiconductor optical device; the light beam is modified to have an intermediate mode size as it passes through the second region; and the light beam is further modified to have a large mode size as it passes through the third region, the large mode size being substantially equal to a mode size of an optical fiber.

64. The optical mode transformer of claims 47 or 50, wherein: a light beam having a large mode size enters the optical waveguide at the large beam port, the large mode size being substantially equal to a mode size of an optical fiber; the light beam is modified to have an intermediate mode size as it passes through the third region; and the light beam is further modified to have a small mode size as it passes through the second and first regions to the small beam port, the small mode size being substantially equal to a mode size of a semiconductor optical device.

65. The optical mode transformer of claims 47 or 50, wherein: a recess is formed in the substrate near the small beam port, the recess being configured for mounting of a semiconductor optical device in alignment with the small beam port; and a groove is formed in the substrate near the large beam port, the groove being configured to hold an optical fiber in alignment with the large beam port.

66. The optical mode transformer of claim 65, wherein a semiconductor optical device is mounted in the recess.

67. The optical mode transformer of claim 65, wherein an optical fiber is mounted in the groove.

68. The optical mode transformer of claims 47 or 50, wherein: the first function and the second function are chosen such that the upper and lower cladding provide a lens function in the third region, whereby a light beam propagating from the small beam port to the large beam port is caused to be enlarged and collimated.

69. The optical mode transformer of claim 50, wherein: the first function and the second function are chosen such that the upper and lower cladding provide a lens function in the third region, whereby a light beam propagating from the large beam port to the small beam port is caused to be reduced and focused onto the intermediate beam port.

70. An optical mode transformer comprising: a substrate having a substrate surface; a lower waveguide cladding disposed on the substrate surface, the lower waveguide cladding having a vertical refractive index having a vertical value that varies according to first substantially stepwise function of a y-coordinate, the y-coordinate representing a distance from the substrate surface, the first function having a maximum value and a minimum value, and the lower waveguide cladding having a horizontal refractive index having a horizontal value that varies according to first substantially stepwise function of an x-coordinate, the x-coordinate representing a position in a dimension parallel to the substrate surface and transverse to the long axis, the first function having a maximum value and a minimum value, the lower waveguide cladding further having an upper surface; a waveguide core disposed on the upper surface of the lower waveguide cladding, the waveguide core having a core refractive index, the ratio of the core refractive index to the maximum value of the first function being at least about 1.3, the waveguide core further having a first end located substantially at the small beam port, a second end defining an intermediate beam port, and an upper surface; and an upper waveguide cladding disposed on the upper surface of the waveguide core and on the upper surface of the lower waveguide cladding, the upper waveguide cladding having a refractive index having a value that varies as a second function of the y-coordinate and of the x-coordinate, the second function having a maximum value and a minimum value, the ratio of the core refractive index to the maximum value of the second function being at least about 1.3; the optical mode transformer being configured such that the waveguide core has a vertical taper along the long axis, the vertical taper being a changing thickness of the waveguide core in a dimension normal to the substrate surface, wherein the thickness decreases along the long axis from a first thickness value at a first point near the small beam port to a second thickness value at a second point near the intermediate beam port, the second thickness value being less than a critical thickness value, the critical thickness value being defined as a thickness value below which a significant portion of the energy of a light beam having a small mode size received at the small beam port and propagating in the waveguide core penetrates into at least one of the upper waveguide cladding layer and the lower waveguide cladding layer, thereby enlarging the small mode size.

71. An optical mode transformer comprising: a substrate having a substrate surface; a lower waveguide cladding disposed on the substrate surface, the lower waveguide cladding having a vertical refractive index distribution that varies according to first substantially stepwise function of a y-coordinate, the y-coordinate representing a distance from the substrate surface, the first function having a maximum value and a minimum value, and the lower waveguide cladding having a horizontal refractive index distribution that varies according to first substantially stepwise function of an x-coordinate, the x-coordinate representing a position in a dimension parallel to the substrate surface and transverse to the long axis, the first function having a maximum value and a minimum value, the lower waveguide cladding further having an upper surface; a waveguide core disposed on the upper surface of the lower waveguide cladding, the waveguide core having a core refractive index, the ratio of the core refractive index to the maximum value of the first function being at least about 1.3, the waveguide core further having a first end located substantially at a small beam port, a second end defining an intermediate beam port, and an upper surface; and an upper waveguide cladding disposed on the upper surface of the waveguide core and on the upper surface of the lower waveguide cladding, the upper waveguide cladding having a refractive index distribution that varies as a second function of the y-coordinate and of the x-coordinate, the second function having a maximum value and a minimum value, the ratio of the core refractive index to the maximum value of the second function being at least about 1.3; the optical mode transformer being configured such that: in a first region along the long axis between the small beam port and a transition point, the waveguide core cross section has a thickness in a dimension normal to the substrate surface that is substantially constant and equal to a first thickness value; in a second region along the long axis between the transition point and the intermediate beam port, the waveguide core cross section has a thickness that changes along the long axis from the first thickness value to a second thickness value smaller than the first thickness value, the second thickness being small enough to cause a small mode size of a small light beam received at the small beam port to propagate into at least one of the upper waveguide cladding layer and the lower waveguide cladding layer, thereby enlarging the small mode size; and in a third region along the long axis between the intermediate beam port and a large beam port, the waveguide core cross section has a thickness that is approximately constant and equal to the second thickness value.

72. A method of fabricating an optical waveguide having a tapered waveguide core using a silicon-on-insulator wafer having a silicon substrate layer, an insulator layer, and a silicon upper layer, the method comprising: depositing a photoresist layer on the silicon upper layer of the silicon-on-insulator wafer; applying a mask to the photoresist, the mask having a gray-scale mask pattern that provides an exposure level that varies with position along a length of the mask; exposing the photoresist and mask to radiation from a radiation source; performing a selective etching procedure that etches the photoresist and the silicon upper layer and does not substantially etch the insulator, the presence of the photoresist during the selective etching procedure causing a vertically tapered shape to be formed in the silicon upper layer; and depositing an upper cladding layer over the top and sides of the vertically tapered shape.

73. The method of claim 72, wherein the radiation source comprises an ultraviolet radiation source.

74. The method of claim 72, wherein the radiation source comprises an e-beam source.

75. The method of claim 72, wherein the gray-scale mask pattern has a tapered shape, the gray-scale mask pattern being wide at an end at which the gray scale is darkest and narrow at an opposite end.

76. The method of claim 72, wherein the gray-scale mask pattern has a tapered shape, the gray-scale mask pattern being narrow at an end at which the gray scale is darkest and wide at an opposite end.

77. A method of fabricating an optical waveguide using a silica-on-silicon wafer having a silicon substrate layer and a silica layer, the optical waveguide having a step refractive index distribution in both a vertical and a lateral dimension, the method comprising: depositing a dielectric waveguiding film on the silica layer; depositing a photoresist layer of said dielectric waveguiding film; applying a photomask to the dielectric waveguiding film, the photomask having a stripe defined therein; exposing the photomask to ultraviolet radiation; and dry-etching a stripe in the dielectric waveguiding film using a photolithographic process.

78. A method of fabricating an optical waveguide on a silicon substrate, the optical waveguide having a step refractive index distribution in both a vertical and a lateral dimension, the method comprising the steps of: providing a silica-on-silicon wafer having a silicon substrate layer and a silica layer; depositing a photosensitive dielectric waveguiding film on the silica layer; applying a photomask to the photosensitive dielectric waveguiding film, said photomask having a stripe defined therein; and exposing the photosensitive dielectric waveguiding film to ultraviolet radiation, thereby causing an index of refraction of the waveguiding film to be selectively increased in an area corresponding to the stripe defined in the photomask.

79. The method of claim 78, wherein the photosensitive dielectric waveguiding film comprises a silica-based glass film with germanium or lead incorporated therein.

80. The method of claim 78, further comprising depositing a cladding material over the dielectric waveguiding film.

81. The method of claim 78, further comprising depositing a cladding material over the photosensitive dielectric waveguiding film.

82. The method of claim 81, wherein exposing the photosensitive dielectric waveguiding film to ultraviolet radiation is performed after depositing a cladding material over the photosensitive dielectric waveguiding film, and wherein the cladding material comprises a material that does not substantially absorb ultraviolet radiation.

83. A method of fabricating an optical waveguide on a silicon substrate, the optical waveguide having a graded refractive index distribution in a vertical dimension and a step refractive index distribution in a lateral dimension, the method comprising: providing a silica-on-silicon wafer having a silicon substrate layer and a silica layer; successively depositing a first plurality of thin layers of dielectric material on the silica layer, wherein each of the first plurality of thin layers of dielectric material has an effective refractive index larger than a refractive index of the preceding layer; successively depositing a second plurality of thin layers of dielectric material, wherein each of the second plurality of thin layers of dielectric material has an effective refractive index smaller than a refractive index of the preceding layer; depositing a photoresist layer on said second plurality of thin layers of dielectric material; applying a photomask to the uppermost layer of dielectric material, the photomask having a stripe defined therein; exposing the photomask to ultraviolet radiation; and dry-etching a stripe in the dielectric material using a photolithographic process, thereby forming a waveguide channel.

84. A method of fabricating an optical waveguide on a silicon substrate, the optical waveguide having a graded refractive index distribution in a vertical dimension and a step refractive index distribution in a lateral dimension, the method comprising: providing a silica-on-silicon wafer having a silicon substrate layer and a silica layer; successively depositing a first plurality of thin layers of photosensitive dielectric material on the silica layer, wherein each of the first plurality of thin layers of photosensitive dielectric material has an effective refractive index larger than a refractive index of the preceding layer; successively depositing a second plurality of thin layers of dielectric material, wherein each of the second plurality of thin layers of dielectric material has an effective refractive index smaller than a refractive index of the preceding layer; applying a photomask to the uppermost layer of photosensitive dielectric waveguiding film, said photomask having a stripe defined therein; and exposing the layers of photosensitive dielectric waveguiding film to ultraviolet radiation, thereby causing the index of refraction of each of the layers of photosensitive dielectric waveguiding film to be selectively increased in an area corresponding to the stripe defined in the photomask.

85. The method of claim 83, further comprising depositing a cladding material over the uppermost layer of dielectric waveguiding film.

86. The method of claim 84, further comprising depositing a cladding material over the uppermost layer of photosensitive dielectric waveguiding film.

87. A method of fabricating an optical waveguide on a silicon substrate, the optical waveguide having a graded refractive index distribution in a vertical dimension and a graded refractive index distribution in a lateral dimension, the method comprising: providing a silica-on-silicon wafer having a silicon substrate layer and a silica layer; successively depositing a first plurality of thin layers of photosensitive dielectric material on the silica layer, wherein each of the first plurality of thin layers of photosensitive dielectric material has an effective refractive index larger than a refractive index of the preceding layer; successively depositing a second plurality of thin layers of dielectric material, wherein each of the second plurality of thin layers of dielectric material has an effective refractive index smaller than a refractive index of the preceding layer; applying a photomask to the uppermost layer of photosensitive dielectric waveguiding film, said photomask having a grayscale pattern defined therein; and exposing the layers of photosensitive dielectric waveguiding film to ultraviolet radiation, thereby causing the index of refraction of each of the layers of photosensitive dielectric waveguiding film to be selectively increased in proportion to the grayscale pattern defined in the photomask and producing a graded index of refraction along the lateral dimension of each of the layers of photosensitive dielectric waveguiding film.

88. A method of fabricating an optical waveguide on a silicon substrate, the optical waveguide having a tapered high-refractive-index waveguide core and a cladding having a graded refractive index distribution in a vertical dimension and a step refractive index distribution in a lateral dimension, the method comprising: providing a silica-on-silicon wafer having a silicon substrate layer and a silica layer; successively depositing a first plurality of thin layers of photosensitive dielectric material on the silica layer, wherein each of the first plurality of thin layers of photosensitive dielectric material has an effective refractive index larger than a refractive index of the preceding layer; bonding a silicon layer on the uppermost layer of the first plurality of thin layers of photosensitive dielectric material; depositing a photoresist layer on the silicon upper layer; applying a first photomask to the photoresist, the first photomask having a gray-scale mask pattern that provides an exposure level that varies with position along a length of the first photomask; exposing the photoresist and photomask to radiation from a radiation source; performing a selective etching procedure that etches the photoresist and the silicon upper layer and does not substantially etch the insulator, the selective etching procedure causing a vertically tapered shape to be formed in the silicon upper layer; successively depositing a second plurality of thin layers of dielectric material, wherein each of the second plurality of thin layers of dielectric material has an effective refractive index smaller than a refractive index of the preceding layer; applying a second photomask to the uppermost layer of photosensitive dielectric waveguiding film, said second photomask having a stripe defined therein; and exposing the layers of photosensitive dielectric waveguiding film to ultraviolet radiation, thereby causing the index of refraction of each of the layers of photosensitive dielectric waveguiding film to be selectively increased in an area corresponding to the stripe defined in the second photomask.

89. The optical mode transformer of claim 1, wherein the second end is optically coupled to a large beam port, and wherein a light beam having an initial mode size enters the waveguide core from the small beam port and exits at the large beam port having a final mode size larger in a dimension normal to the substrate surface than the initial mode size.

90. The optical mode transformer of claim 1, wherein the second end is optically coupled to a large beam port, and wherein a light beam having an initial mode size enters at the large beam port and exits the waveguide core at the small beam port having a final mode size smaller in a dimension normal to the substrate surface than the initial mode size.

91. The optical mode transformer of claim 13, wherein the second end is optically coupled to a large beam port, and wherein a light beam having an initial mode size enters the waveguide core form the small beam port and exits at the large beam port, having a final mode size larger in a dimension parallel to the substrate surface and transverse to the direction of light propagation than the initial mode size.

92. The optical mode transformer of claim 13, wherein the second end is optically coupled to a large beam port, and wherein a light beam having an initial mode size enters the waveguide core from the large beam port and exits at the small beam port having a final mode size larger in a dimension parallel to the substrate surface and transverse to the direction of light propagation than the initial mode input beam.

93. The optical mode transformer of claim 25, wherein the second end is optically coupled to a large beam port, and wherein a light beam having an initial mode size enters the waveguide core from the small beam port and exits at the large beam port having a final mode size larger in a dimension parallel to the substrate surface and transverse to the direction of light propagation than the initial mode size.

94. The optical mode transformer of claim 25, wherein the second end is optically coupled to a large beam port, and wherein a light beam having an initial mode size enters the waveguide core at the large beam port and exits t at the small beam port having a final mode size smaller in a dimension parallel to the substrate surface and transverse to the direction of light propagation than initial mode size.

95. The optical mode transformer of claims 1, 2, 13, 14, 36, 47 or 70, wherein the critical thickness value is defined as approximately λ0/(4{square root}{square root over (nc2−ncl2)}), where λ0 is the wavelength of the light beam in a vacuum, where nc is the refractive index of the waveguide core, and wherein ncl is the index of refraction of the waveguide cladding.