The features and advantages of the present invention will be made apparent by the following detailed description of an exemplary embodiment thereof, description that will be conducted making reference to the annexed drawings, wherein:.
Throughout the different drawings, identical reference numerals are used to identify identical or corresponding parts. Furthermore, it is pointed out that the drawings are not necessarily in scale, emphasis being instead placed upon clearly illustrating the principles of the invention.
Referring to
The waveguide 101 is integrated in a chip 107 in which one or more optical components (not shown in
On the lower cladding layer 111, a waveguide core 113 is formed, having a refractive index ncore. The waveguide core 113, made for example of silicon oxynitride (SiON), having a refractive index ncore that falls in the range from approximately 1.45 to approximately 2, is formed by depositing a SiON layer on the lower cladding layer 111, e.g. by CVD and, particularly, PECVD. Then, by means of conventional photolithographic techniques followed by an etching step, e.g., by Reactive Ion Etching (RIE), the deposited SiON layer is patterned, so as to form a core base layer (in jargon, a slab) 113a, of substantially uniform height t throughout the die, and, on the core base layer 113a, a core ridge or rib 113b, of height (h−t), where h denotes the overall height of the waveguide core 113.
If desired or necessary, a birefringence compensating layer (not shown in the drawing) can be formed, interposed between the lower cladding layer 111 and the waveguide core 113; for example, the birefringence compensating layer may be made of silicon nitride (Si3N4), formed by Low-Pressure CVD (LPCVD).
An upper cladding 115 of refractive index nuc covers the waveguide core 113. The upper cladding 115 can be a material layer, for example made of SiO2, similarly to the lower cladding layer 111 (in which case the upper cladding refractive index nuc and the lower cladding refractive index n1c coincide). Alternatively, the upper cladding 115 can be made of, e.g., air (refractive index nuc equal to 1), or other fluid or gas.
As depicted in the detail of
The waveguide core rib 113b has a substantially uniform height (h−t) throughout the die. The waveguide core rib 113b has instead a variable width in different regions of the chip 107. In particular, the waveguide core rib 113b has a circuit waveguide core rib portion 117a, of prevailing length, which is the portion of the waveguide intended to interact with the optical device or devices integrated in the chip 107; the circuit waveguide core rib portion 117a has a first width (circuit waveguide width) W0. Proximate to the waveguide tip 103, a laterally-tapered, transition waveguide core rib portion 117b, of length L and variable width, joins the circuit waveguide portion 117a to a tip waveguide core rib portion 117c, of length Ltip and having a second width (tip waveguide width) W lower than the circuit waveguide width W0. Opposite to the transition portion 117b, the tip waveguide core rib portion 117c terminates in a facet 119 (typically, but not limitatively, a facet coincident with the chip perimetral boundary; more generally, a interface facet between a region of the space in which the layer 113 is present, and an adjacent region of space in which the layer 113 is absent, for example in correspondence of a groove formed in an area of the chip), through which the waveguide 101 can be interfaced to an external optical field, e.g. carried by the optical fiber 105, or can emit optical radiation.
The reduction in width of the waveguide core rib 113b in proximity of the waveguide tip 103 creates a mode spot-size converting structure, that widens the optical mode supported by the waveguide to dimensions comparable to the external field dimensions, particularly to dimensions comparable to those of the optical mode supported by the optical fiber. In the circuit waveguide core rib portion 117a, the waveguide core rib can have a larger width; by way of example, in an embodiment of the present invention, the width in the circuit waveguide core rib portion 117a can be the maximum width that still guarantees the single-mode operating condition.
In the integrated optical waveguide 101, the circuit waveguide portion has a strong guiding action, at least for the fundamental optical mode, while the tip waveguide, having a reduced core rib width, has a weak guiding action on the fundamental mode.
The profile and the length L of the laterally-tapered transition waveguide core rib portion 117b are chosen to avoid abrupt transitions between the narrower tip waveguide core rib portion 117c and the wider circuit waveguide core rib portion 117a.
In particular, the length L and the profile of the laterally-tapered transition waveguide core rib portion 117b may be determined according to any known design procedure, for example the one described in the already cited technical manuscript “Design of a Single-Mode Tapered Waveguide for Low-Loss Chip-to-Fiber Coupling” by O. Mitomi et al, published in the IEEE Journal of Quantum Electronics, Vol. 30, No. 8, August 1994, pages 1787 to 1793, the content of which is incorporated herein by reference.
The planar integrated waveguide structure depicted in
In other words, the adoption of a rib waveguide structure, i.e., a waveguide structure in which the waveguide core comprises a core base layer, or slab, 113a, of uniform thickness, and core rib 113b, offers the possibility of designing and fabricating waveguides that are optimized in respect to the circuit requirements, and, by means of simple, laterally-tapered mode spot-size conversion structures, are also optimized in respect of the coupling efficiency with external fields.
In the following, a procedure according to an embodiment of the present invention for dimensioning the integrated waveguide structure schematically shown in
First of all, in order to evaluate the coupling efficiency η between the integrated waveguide and an external optical field, e.g. an optical field guided by the optical fiber 105, an overlap integral between the modes supported by the two guiding structures is defined as follows:
where ef(x,y) and ewg(x,y) denote the transverse field distributions in the optical fiber and in the integrated waveguide, respectively. In the case that two circular gaussian distributions with field width at 1/e equal to Sf and Swg are considered, the coupling efficiency η assumes the simpler expression:
In
The integrated waveguide 101 has a refractive index contrast Δ defined as:
The refractive index contrast Δ depends on the refractive indexes ncore, n1c and nuc; in the exemplary case that the lower cladding and the upper cladding are made of SiO2, a SiON waveguide core of refractive index equal to 1.4645 corresponds to a refractive index contrast Δ of approximately 1%, while a SiON waveguide core of refractive index equal to 2 corresponds to a refractive index contrast Δ of approximately 40%,
In general, a rib waveguide having a rib of width W0, an height h and a slab height t, supports a mode with a vertical dimension Svwg at 1/e, a horizontal dimension Shwg at 1/e, and an average mode size Swg equal to:
S
wg=(Svwg+Shwg)/2.
Let it also be assumed that the mean spot size at 1/e Sf of the optical fiber to which the waveguide has to be coupled is:
S
f
=K·S
wg
where K=Sf/Swg is the ratio of the fields dimensions, and it is K≧1.
From the diagram of
By using the waveguide structure of
In
The Applicant has carried out numerical investigations on the waveguide structure of
Referring to
In particular, in the calculations that led to the three diagrams of
It can be appreciated that optimum values for the ratios W/W0 and t/h can be determined, which depend on the refractive index contrast, that guarantee minimum coupling losses, and thus maximum coupling efficiency. For example, considering the diagram of
Additionally, it can be appreciated that if, in order to satisfy contingent needs, one or both of ratios W/W0 and t/h cannot be chosen equal to the optimum, for example, for satisfying particular circuit requirements, the designer need to use a slab height t such that, in combination with a given waveguide height h, the ratio t/h is different from the optimum value, the coupling losses can still be kept below desired levels by choosing values of the parameters W, W0, t, and h such that the ratios W/W0 and t/h are within prescribed ranges, which depends on the refractive index contrast. For example, considering again the diagram of
Another important aspect that can be appreciated looking at the diagrams of
By comparing the three diagrams of
In the diagrams of
The diagrams in
The considerations made above allows stating that once the value of the fields dimensions ratio K has been established, the coupling losses as a function of the ratios W/W0 and t/h vary slightly with changes in the refractive index contrast Δ; in other words, for each value of K, a family of diagrams similar to those of
From a practical: viewpoint, provided that a working area in terms of the geometrical parameter ratios W/W0 and t/h needs to be determined within which coupling losses below 0.5 dB are guaranteed, a value of K substantially equal to 3 appears to be a reasonable upper limit for the values of K. In fact, looking at
Concerning the laterally-tapered transition waveguide core rib portion 117b, as mentioned in the foregoing it can be designed in a conventional way, so as to avoid abrupt transitions between the narrower tip waveguide core rib portion 117c and the wider circuit waveguide core rib portion 117a. Typically, the length L of the transition waveguide core rib portion 117b is chosen to be of the order of the hundreds of microns.
In a preferred embodiment of the present invention, the length L of the transition waveguide core rib portion 117b is chosen greater than a minimum value Lmin defined as:
Lmin=(1−W/W0)L0,
where L0 is the minimum length of the transition waveguide core rib portion 117b that guarantees an adiabatic transition even in case that the width W of the tip waveguide core rib portion 117c is chosen to be equal to zero and the area of the interface facet 119 reduce to zero, thereby the interface of the waveguide to the external field reduces to the slab 113a only. In the dimensioning of several different spot-size conversion structures, the Applicant has observed that waveguide transition portions shorter than 500 μm are capable of ensuring a good adiabatic transformation of the optical field from the wider circuit waveguide portion to the narrower tip waveguide portion. Adiabatic transitions are not prevented by the use of longer waveguide transition portions, but no additional benefits have been observed that could justify a greater occupation of area. Thus, the Applicant has taken 500 μm as the lower limit L0 of the length of the transition portion in the most critical case of a width W reduced to zero.
From the dimensioning of several different spot-size conversion structures, and based on values provided in the literature, the Applicant has observed that it can be demonstrated that if the condition L≧Lmin is satisfied, the transition waveguide core rib portion 117b is adiabatic and the diagrams shown in
The length Ltip of the tip waveguide core rib portion 117c is chosen to be of the order of the hundreds of microns, and the effective length of this waveguide core is rib portion is determined by taking into account the technological tolerances in cutting the wafer into individual dies and in preparing the chip edge face. Typically, Ltip is chosen to be equal to or greater than 100 μm. Anyway, it is observed that Ltip should be as small as possible, because, in propagating through the tip waveguide core rib portion 117c, due to the small waveguide cross section in that rib portion, the optical field tends to be weakly guided and consequently excessive radiation losses could take place. If the transition waveguide core rib portion 117b is sufficiently long and W/W0 is near 1, there is no reason for having a long tip waveguide core rib portion 117c to protect the structure from technological tolerances; on the contrary, a suitable guard has to be provided when short transition regions and small W/W0 values are considered. For these reasons, the following value for the length of the tip waveguide core rib portion 117c is considered:
L
tip
=L
tecexp[−(L/Lmin)2],
where Ltec depends on the technological tolerance in cutting the wafer into dies and in preparing the chip edge face. The Applicant has found that a reasonable value for Ltec is 300 μm and this is the maximum value that guarantees negligible propagation losses.
In addition to the advantages already discussed in the foregoing, the integrated waveguide structure of
When the integrated waveguide structure is used as an input port of a component, the input optical fiber is coupled to the tip waveguide core rib portion 117c, which ensures monomodality thanks to the extremely small cross section thereof. This fact guarantees that only the fundamental mode is excited in the circuit waveguide circuit waveguide core rib portion 117a, i.e., in the circuit waveguide, irrespective of any possible misalignment between the fiber and the waveguide. This feature becomes extremely useful when the circuit waveguide is dimensioned to have a cross-sectional area close to, or even above the second guided mode cut-off (case in which a two mode propagation is possible), but only the fundamental mode excitation is desired.
Furthermore, experimental results conducted by the Applicant have shown that the waveguide structure of
Δ=6.35%;
W0=2.4 μm;.
h=1.8 μm;
t=0.4 μm;
L=240 μm;
W=0.8 μm;
Ltip=200 μm.
The laterally-tapered transition waveguide core rib portion 117b had a cubic profile, and the integrated waveguide has been coupled to a small-core optical fiber with average mode dimension at 1/e (Sf) equal to 3.6 μm.
The circuit waveguide average mode dimension at 1/e. (Swg) was determined to be equal to 2.6 μm; consequently, the value of K was 1.38.
From the choice of the geometrical parameters made, the value of the ratio W/W0 was 0.33, that of the ratio t/h was 0.22.
Referring to the diagrams of
A coupling loss of 0.53 dB has been measured: this result is considered in very good agreement with the design procedure previously presented, considering that the diagrams in
For the purpose of comparison, the optical fiber has also been coupled to a second integrated waveguide structure without the mode spot-size conversion structure of
The diagrams in.
The integrated waveguide structure of
Just to give an example, in
A waveguide 801 is integrated in the chip 807. The waveguide 801 has the structure shown in
The optical and geometrical parameters of the waveguide 801 can for example be the same as those reported in the foregoing (Δ=6.35%, W0=2.4 μm, h=1.8 μm, t=0.4 μm, L=240 μm, W=0.8 μm, Ltip=200 μm). In particular, concerning the slab height t, looking at the diagram of
The waveguide structure of
Summarizing, the main advantages of the described waveguide structure are the capability of achieving a high coupling efficiency with an appropriate optical fiber, at the same time satisfying requirements on the waveguide characteristics different from the coupling efficiency, e.g. requirements imposed by the particular integrated optical device or devices to be formed and with which the waveguide has to interact (circuital requirements), weak influence on the coupling efficiency by tolerances on geometrical and optical parameters, low sensitivity to fiber-to-chip alignment, and selective fundamental mode excitation, even when multimode (in particular, two-mode) circuit waveguides are employed.
The described waveguide structure is particularly adapted for integrated waveguides characterized by medium to high refractive index contrast values, particularly refractive index contrast values from approximately 1% to approximately 20%. Extremely good results are achieved if the described waveguide structure is realized with materials ensuring an index contrast value from approximately 5% to approximately 7%. It is observed that these index contrast values are adapted to realize integrated optical devices for Wavelength Division Multiplexing (WDM) and Dense WDM (DWDM) communication systems. With such index contrast values, waveguides with very small bending radii can be formed, and compact devices such as ring filters (as the one shown in
The described waveguide structure is symmetrical, and can be exploited in correspondence of both optical inputs and optical outputs of integrated optical devices.
Although the present invention has been disclosed and described by way of an embodiment, it is apparent to those skilled in the art that several modifications to the described embodiments, as well as other embodiments of the present invention are possible without departing from the scope thereof as defined in the appended claims.
For example, although described making reference to the coupling between an integrated waveguide and an optical fiber, the invention can be applied in general whenever an integrated waveguide has to be coupled to an external optical field, either guided or not, and, particularly, an external optical field such that the ratio K of the dimensions thereof to the dimensions of the field supported by the integrated waveguide is relatively low, and preferably falls within the range from approximately 1 to approximately 3.
The waveguide structure according to the present invention is easy to fabricate. Thanks to the fact that only a lateral tapering of the waveguide rib core is present, the mode spot size conversion structure can be realized at the same time the rib core 113b is defined, by means of the same photolithography; no additional manufacturing steps are required compared to the manufacturing on a rib waveguide, only a peculiar layout of the photolithographic mask. This is a great advantage with respect to two-dimensional tapering known in the art, which involve more complicated processes with more steps. Alternative fabrication methods are however possible.
Filing Document | Filing Date | Country | Kind | 371c Date |
---|---|---|---|---|
PCT/EP03/08613 | 8/4/2003 | WO | 00 | 11/21/2006 |