The present invention generally relates to optical spectrometry for detecting small quantities of analytes and for other related applications. In particular, the present invention provides a method of manufacturing a miniature integrated optical spectrometer based on nano-structures embedded into planar waveguides.
Last century witnessed multiple improvements in optical spectrometer design and dramatic reduction in size. As a result, spectrometers have moved from optical laboratories to industrial, field, aerospace and other areas of application where compactness, ruggedness, reliability, and low cost are crucially important.
Several companies supply compact spectrometers of traditional configuration for ultraviolet, visible, and near-infrared spectral bands. For example, two such companies are Hamamatsu Photonics Co., Ltd. and Ocean Optics; however, new achievements in nanotechnology make it possible to develop even smaller spectral devices.
For example, U.S. Pat. No. 4,923,271 to Henry et al (“Henry”) issued on May 8, 1990 describes an optical multiplexer/demultiplexer which is manufactured as a cascaded elliptic Bragg reflectors (gratings). All gratings are formed by means of microlithography in a planar waveguide. Each grating is tuned to a definite light wavelength corresponding to one of the working channels. The gratings have one common focal point but different elliptical ties so that the location of the remaining focus can be chosen to provide adequate spacing between input and output. Preferably, the plurality of elliptical Bragg gratings is ordered such that the grating associated with the shortest wavelength is positioned closest to the input of the device. In principle, this type of optical chip can be used as a spectral device for limited amount of wavelengths; however, extending this type of optical chip to a large number of channels is not feasible, and this is the main disadvantage of the approach. The gratings are separated spatially for sequential processing of light. As the number of channels and correspondingly the number of wavelengths to be processed grows, the size of the device increases, the path of light to the remote gratings grows, and, consequently, intrinsic losses grow as well. Also, building large devices is difficult and expensive due to limited precision of the lithographic process and limited uniformity of the waveguide used for gratings.
A new approach to spectral planar integrated devices is based on superposition of multiple sub-gratings on the same planar area. Each sub-grating resonates to a fixed wavelength, but a super-grating comprising many sub-gratings can be deployed as a spectral instrument. Several devices and some manufacturing steps based on this new approach are disclosed in pending U.S. patent applications such as U.S. patent application Ser. No. 405,160 filed by V. Yankov et al on Apr. 2, 2003 entitled “Planar holographic multiplexer/demultiplexer”; U.S. patent application Ser. No. 137,152 filed by S. Babin et al on May 2, 2002 entitled “Photonic multi-bandgap lightwave device and methods for manufacturing thereof”; U.S. patent application Ser. No. 167,773 filed by L. Polonskiy et al. on Jun. 11, 2002 entitled “Integrating elements for optical fiber communication.” However, none of these publications discloses how the new approach can be introduced into the structure and manufacture of a spectrometer.
The overlaying of multiple sub-gratings for optical multiplexer/demultiplexer applications was further developed by Vladimir Yankov et al as disclosed in “Multiwavelength Bragg Gratings and Their Application to Optical MUX/DEMUX Devices,” Photonic Technology Letters, vol. 15, pp. 410-412, 2003.
Based on the above principle, several optical systems were patented by Thomas Mossberg et al (see U.S. Pat. No. 7,120,334 issued on Oct. 10, 2006 entitled “Optical Resonator Formed in a Planar Optical Waveguide with Distributed Optical Structures.” However, the inter-laser cavity spectrometer proposed by T. Mossberg in U.S. Pat. No. 7,120,334 has a narrow band limited by laser spectral properties and a cavity-free spectral range, works only on the absorption principle, and analyzes only liquids. The remaining two patents do not teach a compact spectrometer.
S. Grabarnik et al reported information on a miniature spectrometer with a volume of 0.135 cm3 and dimensions of 3×3×11 mm mounted directly on the surface of a charge-coupled device (CCD) sensor (see Optics Express, Vol. 15, No. 6, pp. 3581-3588, 2007). The spectrometer is formed by two flat diffraction gratings that are designed to perform both the dispersion and imaging functions, eliminating the need for spherical optics. Two separate parts of the device were fabricated with single-mask 1/Jm lithography on a single glass wafer. The wafer was diced, and the device was assembled and directly mounted onto a CCD sensor. The resolution of 3 nm, spectral range of 450 to 750 nm, and the optical throughput of ˜9% were measured to be in a complete agreement with the model used for development of the device.
In “Investigation of the manufacture and use of CCDs as high-resolution position-sensitive detectors of ionizing radiation” (Lawrence Berkeley Laboratory) A. Bross reported successful use of charge-coupled devices (CCDs) as analog shift registers, optical imagers, and high-density memories. In fact, the device comprises a CCD Planar spectrometer operable in either one- or two-dimensional modes.
A common disadvantage of the above-described known optical spectrometers is their relatively large dimensions and high manufacturing cost. Moreover, the applicants are unaware of the existence of miniature optical planar spectrometers designed and operating on the principle of digital planar holography.
An object of the present invention is to provide a method of manufacturing a nanospectrometer on the basis of digitally generated diffraction structures in planar optical waveguides. Another object of the invention is to provide a method of manufacturing the aforementioned nanospectrometer by means of microlithography. It is a further object to provide a method of manufacturing a nanospectrometer with super-gratings that comprise multiple sub-gratings consisting of standard binary features such as dashes or grooves etched or formed in a planar waveguide by means of microlithography.
A method of the invention for manufacturing an optical integrated nanospectrometer for analyzing an analyte comprises the steps of creating a two-dimensional analog-generating function A(x,y) representing a superposition of modulation profiles of the refractive index, each modulation function corresponding to the equivalent of the aforementioned sub-grating, wherein each of the sub-gratings is tuned to be resonantly reflecting at one of N spectral channels; binarizing the two-dimensional analog-generating function A(x,y), applying a threshold value by assigning 1 to all areas above the predetermined threshold and 0 to the remaining areas in order to obtain a digital two-dimensional generating function B(x,y); simplifying complex shape islands in B(x,y) with the value of 1 in order to be presented as a combination of standard microlithographic features for conversion to discrete generating function C(x,y); and lithographically fabricating the aforementioned binary features by etching as the discrete generating function C(x,y) to a calculated depth on a planar waveguide.
With use of the above-described super-grating, the present invention makes it possible to develop nanospectrometers of different types that can be integrated on a chip for detection of solid, liquid, or gas analytes. Examples of these nanospectrometers are the following: a laser-induced breakdown (LIB) spectrometer, an absorption spectrometer, or a Raman spectrometer.
In the context of the present invention, the term “super-grating” means a digital planar hologram that performs multiple functions and operates for a plurality of channels incorporated into a nanospectrometer.
In the context of the present invention, the term “sub-grating” means a virtual component of the aforementioned digital planar hologram that provides operation of a single light-signal-transmitting channel. The same elements of different sub-gratings belong to the same super-grating.
The physics of a spectral super-grating, deployed in the invented spectrometers, is complicated, and for this reason several theoretical models should be used to explain the properties of transfer function. In a first approximation, the super-grating works like a superposition of elliptical sub-gratings, each of which connects an input port with one of multiple output ports. The sub-gratings are structures that are composed of multiple nano-features that modulate the refractive index of a planar waveguide where propagating light is confined. The nano-features are positioned in a manner to provide resonant reflection of light of a predefined wavelength. The super-grating works like a superposition of sub-gratings, reflecting multiple wavelengths to assigned output ports.
The super-grating can be also considered as a photonic bandgap quasi-crystal with a quasi-periodic structure and multiple periods corresponding to multiple bandgaps. In such devices, light propagates in any direction except specifically designed one, thus resulting in light reflection from one ellipse focus into another. These photonic bandgap quasi-crystals can be made by means of binary lithography, nano-imprinting, or other methods on planar waveguides and contain nano-features that modulate the refractive index, and are made for example, into the form of dashes.
The super-grating is synthesized from multiple sub-gratings in a synergistic manner, which includes a mathematical superposition of modulation functions followed by binarization. This process is substantially different from direct superposition of sub-gratings because superposition originates as a mathematical step, which effectively averages a plurality of modulation functions having varying phases.
As discussed above, the nano-features form a predetermined planar quasi-periodic pattern of the refractive index. Positions of features are chosen to optimize transfer functions of all wavelengths.
According to the manufacturing method of the present invention, each super-grating is originally computed as a mathematical superposition of elliptic, parabolic, or hyperbolic sub-gratings with a spatial period of approximately one-half wavelength, for which this sub-grating will be resonant (reflective). An analog-generating function A(x,y) that describes modulation of the refractive index in a planar waveguide and resembling a superposition of a plurality of interference fringes of diverging and converging light beams is implemented according to the following expression:
where index i refers to a wavelength number as well as corresponding output port:
l
i=|in|+|out|,
where:
The A(x,y) function resembles holographic fringes with an omitted factor 1/r to avoid performance deterioration. A super-grating with variation of the effective refractive index n(x,y) described by the analog generating function
A(x,y)n(x,y)˜A(x,y) (2)
would have the best performance, but, unfortunately, it cannot be fabricated by mass production technologies (microlithography, nano-imprinting, or the like). In planar waveguide technology, the analog-generating function A(x,y) can be implemented as its surface relief. This will modulate the effective refractive index as prescribed by formula (1), but fabricating that multilevel relief with modern lithography is very difficult if possible at all.
Therefore, to make this approach practical, the relief must be reduced to a binary shape, meaning that there cannot be more than one nano-feature at each location. According to the present invention, this problem is solved by approximating the analog-generating function A(x,y) into a binary function B(x,y). However, since the binary function B(x,y) contains complex shape islands, it should be further simplifies by assigning a value of 1 to all areas above a predetermined threshold and 0 to the remaining areas in order to convert the function B(x,y) into discrete generating function C(x,y).
In other words, in order to obtain a digital (binary) two-dimensional generating function B(x,y), binarization of function A(x,y) is implemented by applying a threshold value by assigning 1 to all areas above the predetermined threshold and 0 to the remaining areas. For further simplification of manufacturing conditions with the use of microlithography and nano-imprinting techniques, the shape of function B(x,y) is simplified by replacing ditches with curved boundaries by a combination of standard microlithographic nano-features (short straight grooves or dashes). This operation can be described as quantization of binary function B(x,y) to produce a discrete function C(x,y), which is nothing but a collection of standard nano-features (dashes) that can be formed according to the aforementioned mass-production methods.
The super-grating described by the discrete generating function C(x,y) preserves all spectral properties of the original analog-generating function A(x,y), but binarization and quantization could introduce additional artifacts. Therefore, careful approach and thorough optimization of conversion algorithms are required.
The last parameter of the super-grating to be determined is the depth of dashes to be formed in a planar waveguide by microlithography or nano-imprinting.
In the exemplary modification shown in
An example of practical implementation of this invention is demonstrated in
According to the present invention, optimization of the super-grating design consists of finding an analog-generating function A(x,y) that provides best possible performance for the super-grating after the aforementioned binarization and quantization procedures. The most dangerous and performance-degrading effect is crosstalk between the super-grating channels, which may be caused by insufficient channel isolation (crosstalk is reflection of light with different frequencies in the same direction). Binarization of the analog-generating function A(x,y) is a strongly nonlinear transform. In accordance with the rules of nonlinear transform, if A(x,y) includes just three Fourier components with wave vectors and the Fourier spectrum of the generated binary relief would include the beating-generated wave vectors expressed by a linear combination of the three original wave vectors:
=++ (3)
where m, n, and i are arbitrary positive or negative integers. These parasitic Fourier harmonics may be responsible for high crosstalk (insufficient channel isolation). In fact, this effect was observed both in simulations and experiments, as illustrated in
If for simplicity of consideration we approximate each channel by a single and take into account that the wave vectors of close channels have almost the same values, then combinations of formula (3) with m and n having values equal or close to 1 and −1, respectively, e.g., those expressed by
+(−)≈ (4)
will become close to one of the original wave vectors and will reflect light of a different wavelength (another channel) to the output port assigned for Additional analysis shows that the reflections are focused. Therefore, such approximation will increase the crosstalk to an unacceptably high level.
In accordance with the present invention, the above problem can be solved by properly positioning the output ports. Let us assume now that at some point the directions of wave vectors vary with absolute value of sub-grating wave vectors linearly so that the tips of the vectors lie on a straight line, as shown in
=+δ·ωi (5)
where ωi is the central frequency of the channel, then, in approximation of a small numerical aperture and small sub-grating ellipticity, the wave vectors of the channel sub-gratings will lie on straight lines, as shown in
Another source of artifacts is substitution of an infinite-size periodic structure with a finite one having sharp edges. This leads to appearance of additional Fourier harmonics and, thus, additional out-of-band reflections. Such a problem is well known in the theory of fiber Bragg gratings. The remedy, which consists of smoothening (apodization) of the back and front ends of the grating, is known as well. Usually, the grating apodization leads to gradual variation of the refractive index modulation depth in accordance with a certain (apodizing) function g(r), where r is the distance to the input point (where light enters the grating). Inside the apodized super-grating the modulation function smoothly grows in a central zone of the super-grating from zero (no n(x,y) modulation) to unit (maximum n(x,y) modulation) and then slowly drops to zero at its end. Full-scale modulation occurs only in the central part of the super-grating, which is surrounded with areas of variable modulation depth to provide a smooth transition from a nonmodulated to a fully modulated refractive index. Because the present invention uses binary nano-features, apodization can be implemented by removing some nano-features in the transitional areas so that the average density of the binary nano-features becomes proportional to g(r).
In the next step, a compensation function is applied in order to compensate for variations in the average refractive index. In particular, a digital planar hologram creates a variation of the average effective refractive index so that the light wavelength within the digital planar hologram differs from that within the blank part of a planar waveguide. To avoid undesirable distortions due to this nonuniformity, it is necessary to compensate [for] the refractive index variation caused by patterning the planar waveguide, including variation caused by apodization. According to one modification of the present invention, a compensation function can be defined by the following equation:
f(x,y)=1+Δn/n=1+ag(r), (6)
where Δn is the averaged variation of the effective refractive index in the vicinity of a given point, a is the scaling parameter, and r is the distance to an input port.
The super-grating apodization is illustrated in
The super-grating is the main component of any nanospectrometer made in accordance with the present invention; however, as explained below, in order to improve functionality, the spectrometer should include some additional components. It should be understood that depending on the proposed nanospectrometer configuration, all or almost all components will be integrated on the same planar waveguide as the super-grating.
The first configuration of the nanospectrometer is a laser-induced breakdown (LIB) spectrometer, shown in
In the second modification, the device is made as an absorption nanospectrometer, as shown in
The third modification, which is shown in
The fourth preferred modification, shown in
The fifth modification, shown in
The sixth preferred modification, shown in
Thus it has been shown that the present invention provides a method of manufacturing a nanospectrometer on the basis of digitally generated diffraction structures in planar optical waveguides. The invention also provides a method of manufacturing the aforementioned nanospectrometer by means of microlithography. The super-gratings of the proposed nanospectrometer comprise multiple sub-gratings consisting of standard binary features such as dashes or grooves etched in the planar waveguide by means of microlithography.
Although the invention has been shown and described with reference to specific embodiments, these embodiments should not be construed as limiting the areas of application of the invention, and any changes and modifications are possible provided these changes and modifications do not depart from the scope of the attached patent claims. For example, optionally, all spectrometers according to the present invention can be used without integrated detector arrays in a spectroscopic mode.
The present patent application is a division of pending U.S. patent application Ser. No. 12/012,045 filed Feb. 1, 2008, entitled “Optical Integrated Nanospectrometer and Method of Manufacturing thereof”. The present patent application is also related to the following pending patent applications: (1) U.S. patent application Ser. No. 405,160 filed by V. Yankov et al on Apr. 2, 2003 entitled “Planar holographic multiplexer/demultiplexer”; (2) U.S. patent application Ser. No. 137,152 filed by S. Babin et al on May 2, 2002 entitled: “Photonic multi-bandgap lightwave device and methods for manufacturing thereof”; and (3) U.S. patent application Ser. No. 167,773 filed by L. Polonskiy et al on Jun. 11, 2002 entitled: “Integrating elements for optical fiber communication.”
Number | Date | Country | |
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Parent | 12012045 | Feb 2008 | US |
Child | 12806361 | US |