As an electromagnetic wave propagates through a carrier material, it can cause the material to vibrate in one or more acoustic modes called phonons. In these modes, the vibrations deform the carrier material in a periodic fashion, and, therefore, set up deformation (i.e., pressure) waves that propagate through the material. These pressure waves cause the carrier material to oscillate in one or more resonant modes (i.e., acoustic modes), and this oscillating can cause a respective periodic change in one or more properties (e.g., the spacing between molecules or between atoms) of the material. For example, this oscillating can generate periodically varying acoustic dipoles within the carrier material via the photo-elastic effect. And these periodic changes in one or more properties of the carrier material can induce a change in the momentum of a portion of the propagating electromagnetic wave. That is, the oscillating carrier material can effectively scatter a fraction of the propagating electromagnetic wave's energy, and thus can generate one or more scattered electromagnetic waves at one or more frequencies that are different from the frequency of the propagating electromagnetic wave.
For example, as a light wave (i.e., an electromagnetic wave having a wavelength in or near the optical or visible portion of the electromagnetic spectrum) propagates through an optical waveguide such as an optical fiber or an integrated optical waveguide, the propagating light wave excites, in the waveguide, one or more acoustic modes that cause the waveguide to act as an oscillating grating that diffracts, and thus scatters, a portion of the propagating light wave.
Such scattering of a propagating light wave caused by one or more acoustic modes that the light wave excites in a waveguide material is called Brillouin scattering. This scattering is also called stimulated Brillouin scattering (SBS) because it is the propagating light wave that excites, or stimulates, the one or more acoustic modes that cause the Brillouin scattering.
If the Brillouin scattering of a propagating light wave is additive (i.e., coherent) along a propagation dimension within the waveguide, then the resulting one or more light waves generated by the coherent Brillouin scattering in the propagation dimension are called Stokes waves.
A Stokes wave typically has a frequency that is less than, i.e., downshifted from, the frequency of the propagating light wave because the portion of the energy of the propagating light wave that excites the one or more acoustic modes is absorbed by the waveguide material. As is known, the properties (e.g., phase, frequency, and power) of a Stokes wave depend on the properties (e.g., phase, frequency, and power) of the one or more acoustic modes that the propagating light wave excites in the waveguide, on the physical properties (e.g., atomic structure, molecular structure, crystal-lattice structure, dimensions, material, density, permittivity, permeability) of the waveguide and of the material(s) from which the waveguide is formed, and on conditions (e.g., temperature, humidity, stress, strain) to which the waveguide is exposed.
In a straight waveguide (and in a curved waveguide in which the radii of curvature is much greater (e.g., at least ten times greater) than the wavelength of the exciting light wave), a Stokes wave typically propagates in a direction opposite (counter) to the direction of propagation of the light wave that induces the Stokes wave; that is, a Stokes wave typically propagates in a reverse or backwards direction, i.e., in a direction that is opposite to the direction in which the Stokes-wave-inducing light wave propagates. So if the Stokes-wave-inducing light wave enters a straight (or curved per above) waveguide at a first end and exits the straight waveguide at a second end, then a Stokes wave induced by the light wave typically counter propagates toward, and exits the waveguide from, the first end.
Furthermore, the level of Brillouin scattering that a waveguide imparts to a propagating light wave is typically quantified as the Brillouin gain. Typically, the Brillouin gain of a waveguide is characterized as a function of the frequency or wavelength of the acoustic-mode-exciting light wave, and is plotted as a gain versus the frequency or the wavelength of the exciting light wave, where the gain equals the magnitude of the normalized ratio of the energy or power of the Brillouin scattered waves to the energy or power of the exciting light wave per unit length of the waveguide.
Moreover, the frequency and wavelength at which the Brillouin gain has a maximum, or peak, value typically depends on the properties (e.g., phase, frequency, and energy) of the one or more acoustic modes that the propagating wave excites in the waveguide, on the physical properties (e.g., atomic structure, molecular structure, crystal-lattice structure, dimensions, material, density, permittivity, permeability) of the waveguide and the materials from which the waveguide is formed, and on conditions (e.g., temperature, humidity, stress, strain) to which the waveguide is exposed.
In addition, the full-bandwidth-at-half-maximum (FWHM) Brillouin gain (i.e., the FWHM Brillouin bandwidth), is defined as a region around the peak value of the Brillouin gain bounded by the frequencies/wavelengths at which the Brillouin gain, in units of power or energy, is ½ the peak Brillouin gain.
In some applications (e.g., communications, navigation), it is sometimes desirable to align the optical-resonant frequency of an optical device (e.g., optical resonator, optical gyroscope), or one or more of the optical-resonant frequencies of the device if the device has multiple resonant modes, with the FWHM Brillouin bandwidth.
Or more generally, in some applications it is desirable to align at least a portion of the FWHM optical bandwidth of an optical device with the FWHM Brillouin bandwidth of the optical device.
But unfortunately, because the FWHM Brillouin bandwidth of a material typically is relatively narrow (e.g., on the order of tens of megahertz (MHz)) on an optical scale, it can be difficult to align a portion (e.g., the optical-resonant frequency) of the FWHM optical bandwidth of an optical device with the device's FWHM Brillouin bandwidth.
And such difficulty in aligning a portion of a device's FWHM optical bandwidth with the device's FWHM Brillouin bandwidth often is exacerbated by the shifting of a device's FWHM Brillouin bandwidth in response to environmental parameters such as the temperature of the device; even a relatively small shift can cause the FWHM Brillouin bandwidth to become misaligned with the desired portion of the device's FWHM optical bandwidth.
Unfortunately, there are no reported techniques for better aligning a device's FWHM optical bandwidth (or a portion thereof) with the device's FWHM Brillouin bandwidth.
But described below are one or more exemplary techniques for facilitating alignment of a device's optical bandwidth (e.g., FWHM optical bandwidth) with the device's Brillouin bandwidth (e.g., FWHM Brillouin bandwidth).
In at least on such exemplary technique, the FWHM Brillouin bandwidth of an optical device, such as a waveguide, is significantly widened.
And such an optical device can be configured to facilitate alignment of a portion of the device's optical bandwidth with the device's Brillouin bandwidth by widening the device's Brillouin bandwidth to include, i.e., to overlap, the portion of the device's optical bandwidth.
In an embodiment, a waveguide (e.g., an integrated waveguide) has a Brillouin bandwidth, and includes cladding and a core. The cladding includes first layers of a first material, each first layer having a physical characteristic of approximately a first value, and includes second layers of a second material, each second layer having the physical characteristic of approximately a second value, the second layers alternating with the first layers such that the Brillouin bandwidth is wider than the Brillouin bandwidth would be if the cladding excluded the first layers or excluded the second layers.
For example, the first and second cladding layers can be formed from different materials, can be formed to have different values of a physical characteristic (e.g., thickness, acoustic velocity, or index of refraction), or can be formed from different materials and to have different values of a physical characteristic.
Such a waveguide can form, therefore, in whole or in part, an optical device having an optical FWHM bandwidth that overlaps the device's FWHM Brillouin bandwidth. Such an overlap in optical and Brillouin bandwidths can cause the optical device to promote a Stokes wave that is stimulated, or otherwise induced, by an optical wave propagating in the device, and such promotion of a Stokes wave can be useful, for example, in an optical device that is, that includes, or that forms part of, an optical resonator or an optical gyroscope.
Furthermore, an embodiment of a method for forming such a waveguide includes forming a core, and forming, around the core, a cladding having alternating first and second layers, the first layers and second layers being formed from different materials, the first layers having a different value of a physical parameter (e.g., thickness, acoustic velocity, index of refraction) than the second layers, or the first layers and second layers being formed from different materials and having a different value of a physical parameter.
Each value, quantity, or attribute herein preceded by “substantially,” “approximately,” “about,” a form or derivative thereof, or a similar term, encompasses a range that includes the value, quantity, or attribute ±20% of the value, quantity, or attribute, or a range that includes ±20% of a maximum difference from the value, quantity, or attribute. For example, “two planes are substantially parallel to one another” encompasses an angle −18°≦α≦18° between the two planes (|90°| is the maximum angular difference between the two planes, ±20% of |90°| is ±18°, and the two planes are parallel to one another when α=0°). Similarly, “a substantially planar surface” encompasses an angle −18°≦φ≦+18° formed by a plane that bisects the surface and any arbitrary tangent to any point of the surface.
The FWHM Brillouin bandwidth 12 of the homogenous-cladding acousto-optic waveguide is only about 100 megahertz (MHz) wide.
Putting this in perspective, at optical frequencies, a 100 MHz bandwidth is equivalent to Δλ≈0.2 nanometers (nm) between the wavelength corresponding to the lower end of the bandwidth and the wavelength corresponding to the upper end of the bandwidth.
Therefore, the FWHM Brillouin bandwidth 12 the homogenous-cladding acousto-optic waveguide is relatively narrow at optical frequencies and wavelengths.
Unfortunately, the relatively narrow FWHM Brillouin bandwidth 12 can hinder alignment of the waveguide's FWHM optical bandwidth with the FWHM Brillouin bandwidth. For example, the relatively narrow FWHM Brillouin bandwidth 12 can hinder alignment of the waveguide's optical resonant frequency(ies) with the FWHM Brillouin bandwidth 12.
As described above, such an alignment of the optical and Brillouin bandwidths may be desired for the purpose of promoting the generation of one or more Stokes waves.
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If the first cladding region 24 is formed by plasma-enhanced chemical-vapor deposition (PECVD), then each first layer 26 and each second layer 28 can be formed by altering the flow rate of one or more of the precursor gases into the formation chamber. For example, if the first cladding region 24 is formed from SiO2 (silicon dioxide) and the precursor gases are SiH4 (silane) and N2O (nitrous oxide), then the flow of the SiH4 can be at one rate during formation of the first layers 26 and can be at another rate during formation of the second layers 28. Alternatively or in addition, the flow of N2O can be at one rate during formation of the first layers 26 and can be at another rate during formation of the second layers 28. Moreover, although described as being formed from Silicon Dioxide (SiO2), the first cladding region 24 can be formed from any other suitable material such as Silicon Oxynitride (SiON), Zinc Oxide (ZnO), Aluminum Oxide (Al2O3), or Calcium Fluoride (CaF2). In addition, although described as being formed by PECVD, the first cladding region 24 can be formed from any other suitable technique such as sputtering or chemical-vapor-deposition (CVD).
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To complete the formation of the second cladding region 34, a top surface 36 of the second cladding region can be planed approximately flat using any suitable technique such as chemical-mechanical polishing (CMP).
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Because the indices of refraction n1 and n2 of the first and second layers 26 and 28 are relatively close together, and because the thicknesses of the first and second layers are relatively small compared to the thicknesses of the first and second cladding regions 24 and 34, the first and second cladding regions each have an effective index of refraction
(assuming that the first and second layers each have approximately the same physical characteristics in both of the cladding regions 24 and 34) such that forming the cladding regions from layers having respective acoustic velocities has negligible or no detrimental effect on the optical properties of the waveguide 38.
Compared to the FWHM Brillouin bandwidth 12 of
In more detail, the spectral position v (units of frequency) of the peak magnitude of the Brillouin gain of a material is given by the following equation:
where neff is the effective index of refraction of the guided optical mode in which the pumped light wave is propagating through the material, Vac is the acoustic velocity of the material, and λ0 is the free-space wavelength of the pumped/exciting light wave. Furthermore, the FWHM Brillouin bandwidth of the material is typically in the approximate range of 50 MHz-100 MHz per
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Similarly, the spectral position v2 of the peak magnitude of the Brillouin gain of the second layers 28, as calculated by the above equation, is approximately 1.11×1010 Hz for neff=1.4482, Vac2=6078 m/s, and λ0=1.55 μm, and the FWHM Brillouin bandwidth Δv2of the second layers 28 is also approximately 100 MHz.
Because v1 and v2 are close enough together, their corresponding Brillouin gain profiles combine to form the widened Brillouin gain profile 40.
Therefore, a designer of the optical waveguide 38 of
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In addition to the optical resonator 52, the optical communication assembly 50 includes a light source 58 (e.g., a laser), deflectors 60, 62, and 64, first and second filters 66 and 68, and first and second modulators 70 and 72.
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For purposes of example, assume that the FWHM Brillouin bandwidths 42 of the ring resonator 54 and the bus waveguide 56 are aligned with, i.e, overlap or include, at least two of the resonant frequencies, fn and fn-x, of
In response to the light source 58 pumping an input end 76 of the bus waveguide 56 with a pumped light wave 78 having the frequency fn, Brillouin scattering, stimulated/induced by the pumped light wave, generates a counter-propagating Stokes wave 80 having the frequency fn-x.
The ring resonator 54 reinforces the pumped light wave 78 at the frequency fn, and, therefore, the pumped light wave propagates from the input end 76 to, and out from, an output end 82 of the bus waveguide 56.
The ring resonator 54 also reinforces the Stokes light wave 80 at the frequency fn-x, and, therefore, the Stokes light wave counter-propagates out from the input end 76 the bus waveguide 56.
Consequently, the optical resonator 52 reinforces two resonant modes at fn and fn-x such that the portion of the pumped light wave's energy that stimulates the Brillouin scattering excites a resonant mode at fn-x instead of being dissipated/wasted, e.g., as heat. That is, by virtue of the FWHM Brillouin bandwidth of the optical resonator 52 overlapping at least one resonant frequency of the optical resonator, the optical communication assembly 50 is configured to exploit Brillouin scattering, which is often an unwanted phenomenon, to generate at least two carrier waves, one at fn and the other at fn-x, in response to only a single pumped light wave 78.
The filter 66, which may be optional, filters the pumped light wave 78 propagating from the output end 82 of the bus waveguide 56, the modulator 70 modulates the filtered pumped light wave with first data, and an optical fiber (not shown in
Similarly, the filter 68, which may be optional, filters the Stokes light wave 80, the modulator 72 modulates the filtered Stokes light wave with second data, and an optical fiber (not shown in
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In addition to the optical waveguide 92, the optical gyroscope 90 includes a light source (e.g., a laser) 96, a transmissive deflector 98, and an analyzer 100 (e.g., a microprocessor, microcontroller, or other programmable or hardwired circuit).
In operation, the light source 96 generates a light wave 102 having a frequency fn, and pumps the optical waveguide 92 with the light wave at an end 104 of the optical waveguide. The pumped light wave 102 traverses the waveguide 92, exits an end 106 of the waveguide, and is coupled to an input 108 of the analyzer 100.
The pumped light wave 102 induces in the optical waveguide 92, via Brillouin scattering, a counter-propagating Stokes wave 110 having a frequency fn-x. The Stokes wave 110 exits the end 104 of the waveguide 92, and the deflector 98 directs the Stokes to an input 112 of the analyzer 100.
The analyzer 100 is configured to determine one or more of an angular position, angular velocity, and angular acceleration of the loop 94 about an axis Y of rotation by comparing the phases or frequencies of the pumped light wave 102 and the Stokes wave 110. It is known that due to the Sagnac effect, rotation of the loop 94 about the Y axis induces respective differences between the phases and frequencies of the pumped light wave 102 and the Stokes wave 111, the instantaneous phase and frequency differences being proportional to the instantaneous velocity of the gyroscope's rotation about the Y axis.
Conventional optical gyroscopes typically include a more complex assembly so that the light source 96 is configured to pump both ends of the optical waveguide 92 with the light wave 102 to generate counter-propagating light waves of the same frequency within the waveguide.
But the gyroscope 90 exploits Brillouin scattering to simply its design. That is, by virtue of the FWHM Brillouin bandwidth of the optical waveguide 92 overlapping/including the frequency fn of the pumped light wave 102, the optical gyroscope 90 is configured to exploit Brillouin scattering, which is often an unwanted phenomenon, to generate two counter-propagating waves 102 and 110, one at fn and the other at fn-x, in response to the light source 96 pumping only a single end (i.e., the end 104) of the waveguide 92.
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In addition to the device 122, the integrated photonics circuit 120 includes an optical input port 124 and an optical output port 126.
In operation, a light wave propagates into the port 124, to and through the device 122, one or more light waves are output from the port and 126, and one or more Stokes waves, induced by Brillouin scattering, are output from the port 124.
If the device 122 is an optical communication assembly such as the optical communication assembly 50 of
Furthermore, the integrated photonics circuit 120 can be part of a larger system, such as a computer system, a navigation system, or a smart phone, and can include electronic circuitry. For example, the system can include processing circuitry, such as a microprocessor or microcontroller, coupled to the integrated photonics circuit 120, and the processing circuit and integrated photonics circuit can be disposed on the same integrated-circuit (IC) die or other die, or on different IC dies or other dies.
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From the foregoing it will be appreciated that, although specific embodiments have been described herein for purposes of illustration, various modifications may be made without deviating from the spirit and scope of the disclosure. Furthermore, where an alternative is disclosed for a particular embodiment, this alternative may also apply to other embodiments even if not specifically stated. Moreover, the components described above may be disposed on a single or multiple integrated-circuit (IC) or integrated-photonic (IP) dies to form one or more ICs/IPs, these one or more ICs/IPS may be coupled to one or more other ICs/IPs. Furthermore, one or more components of a described apparatus or system may have been omitted from the description for clarity or another reason. Moreover, one or more components of a described apparatus or system that have been included in the description may be omitted from the apparatus or system.
Example 1 includes a waveguide, comprising: a Brillouin bandwidth; a cladding including first layers of a first material, each first layer having a physical characteristic of approximately a first value, and second layers of a second material, each second layer having the physical characteristic of approximately a second value, the second layers alternating with the first layers such that the Brillouin bandwidth is wider than the Brillouin bandwidth would be if the cladding excluded the first layers or excluded the second layers; and a core disposed within the cladding.
Example 2 includes the waveguide of any of Examples 1-2 wherein the Brillouin bandwidth includes a Brillouin full-width-half-maximum bandwidth.
Example 3 includes the waveguide of any of Examples 1-3 wherein the first material is the same as the second material.
Example 4 includes the waveguide of any of Examples 1-4 wherein the first material is different than the second material.
Example 5 includes the waveguide of any of Examples 1-5 wherein the physical characteristic includes a thickness.
Example 6 includes the waveguide of any of Examples 1-6 wherein the physical characteristic includes an index of refraction.
Example 7 includes the waveguide of any of Examples 1-7 wherein the physical characteristic includes an acoustic velocity.
Example 8 includes the waveguide of any of Examples 1-8 wherein the first value approximately equals the second value.
Example 9 includes the waveguide of any of Examples 1-9 wherein the first value is significantly different than the second value.
Example 10 includes a method, comprising: causing an electromagnetic wave having a first frequency to propagate in an optical waveguide having a full-width-half-maximum Brillouin bandwidth that includes the first frequency; and causing, in response to the electromagnetic wave, a first Stokes wave having a second frequency to propagate in the waveguide, the second frequency being within a full-width-half-maximum optical bandwidth of the waveguide.
Example 11 includes the method of any of Examples 10-11 wherein the first frequency is within the full-width-half-maximum optical bandwidth of the waveguide.
Example 12 includes the method of any of Examples 10-12 wherein the electromagnetic wave includes a second Stokes wave.
Example 13 includes the method of Example 10, further comprising causing, in response to the first Stokes wave, a second Stokes wave having a third frequency to propagate in the waveguide, the third frequency being within the full-width-half-maximum optical bandwidth.
Example 14 includes a method, comprising: forming alternating first and second layers of a first optical cladding region, the first layers having a first physical parameter that is different from the first physical parameter of the second layers; forming a core over the first optical cladding region; and forming alternating third and fourth layers of a second optical cladding region over the core and the first optical cladding region, the third layers having a second physical parameter that is different from the second physical parameter of the fourth layers.
Example 15 includes the method of any of Examples 14-15 wherein the first physical parameter is the same as the second physical parameter.
Example 16 includes the method of any of Examples 14-16 wherein the first physical parameter is different from the second physical parameter.
Example 17 includes the method of any of Examples 14-17 wherein the first and second physical parameters are thickness.
Example 18 includes the method of any of Examples 14-18 wherein the first and second physical parameters are composition.
Example 19 includes the method of any of Examples 14-19 wherein the first and second physical parameters are acoustic velocity.
Example 20 includes the method of any of Examples 14-20 wherein the first and second physical parameters are index of refraction.
Example 21 includes an integrated photonics structure, comprising: an optical device having a portion that includes, a Brillouin bandwidth, a cladding including, first layers of a first material, each first layer having a physical characteristic of approximately a first value, and second layers of a second material, each second layer having the physical characteristic of approximately a second value, the second layers alternating with the first layers such that the Brillouin bandwidth is wider than the Brillouin bandwidth would be if the cladding excluded the first layers or excluded the second layers, and a core disposed within the cladding.
Example 22 includes the integrated photonics structure of any of Examples 21-22 wherein the optical device includes an optical resonator.
Example 23 includes the integrated photonics structure of any of Examples 21-23 wherein the optical device includes an optical gyroscope.
Example 24 includes a system, comprising: an integrated photonics structure, including, an optical device having a portion that includes, a Brillouin bandwidth, a cladding including, first layers of a first material, each first layer having a physical characteristic of approximately a first value, and second layers of a second material, each second layer having the physical characteristic of approximately a second value, the second layers alternating with the first layers such that the Brillouin bandwidth is wider than the Brillouin bandwidth would be if the cladding excluded the first layers or excluded the second layers, and a core disposed within the cladding; and a processing circuit coupled to the integrated photonics structure.
Example 25 includes the system of any of Examples 24-25 wherein the integrated photonics structure and the processing circuit are disposed on a same integrated-circuit die.
Example 26 includes the system of any of Examples 24-26 wherein the integrated photonics structure and the processing circuit are disposed on a same integrated circuit.
Example 27 includes the system of any of Examples 24-27 wherein the integrated photonics structure and the processing circuit are disposed on different integrated-circuit dies.
Example 28 includes the system of any of Examples 24-28 wherein the integrated photonics structure and the processing circuit are disposed on different integrated circuits.
Example 29 includes the system of any of Examples 24-29 wherein the processing circuit includes a microprocessor or a microcontroller.
This invention was made with Government support under N66001-16-C-4017 awarded by SPAWAR Systems Center Pacific. The Government has certain rights in the invention. This material is based upon work supported by the Defense Advanced Research Projects Agency (DARPA) and Space and Naval Warfare Systems Center Pacific (SSC Pacific).
Number | Date | Country | |
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62397040 | Sep 2016 | US | |
62397054 | Sep 2016 | US |