Optical phase shifter, optical interferometer based thereupon, and method of manufacture thereof

Abstract

A phase shifting optical device and method of manufacture is provided. In an embodiment, the phase shifting optical device may include a first arm defining a first arm optical path, a second arm defining a second arm optical path, a beam splitter for splitting an input optical beam into first and second sub-beams for propagating in the first and second arm optical paths, respectively, and a beam combiner for combining the first and second sub-beams propagated in the first and second arm optical paths, respectively, into an output optical beam. The first arm including a carrier modification element to induce a phase shift in the first arm optical path relative to the second arm optical path. A cladding may be provided proximate to the first arm, the cladding having a temperature coefficient of refractive index (dn/dT)cl opposite in sign to a temperature coefficient of refractive index (dn/dT)a of the first arm.

Claims

1. An optical phase shifter comprising: an optical waveguide core; a carrier modification element to induce a phase shift in the optical waveguide core, the carrier modification element including a semiconductor junction; a cladding disposed on at least a portion of the semiconductor junction and at least a portion of a top surface of the optical waveguide core, the cladding having a temperature coefficient of refractive index (dn/dT).sub.cl opposite in sign to a temperature coefficient of refractive index (dn/dT).sub.a of the optical waveguide core; and one or more insulator claddings proximate to the cladding, at least a portion of the insulator claddings disposed on at least a portion of the doped region of the semiconductor junction.

2. The phase shifter of claim 1, wherein the carrier modification element comprises a carrier injection element.

3. The optical phase shifter of claim 1, wherein the carrier modification element comprises a carrier depletion element.

4. The optical phase shifter of claim 1, wherein an effective temperature coefficient of refractive index (dn/dT).sub.e for a combination of the cladding and the optical waveguide is about zero.

5. The optical phase shifter of claim 1, wherein an effective temperature coefficient of refractive index (dn/dT).sub.e for a combination of the cladding and the optical waveguide at least in part relieves a phase error caused by self-heating from operation of the carrier modification element.

6. An optical interferometer comprising: a first arm defining a first arm optical path; a second arm defining a second arm optical path; a beam splitter for splitting an input optical beam into first and second sub-beams for propagating in the first and second arm optical paths, respectively; a beam combiner for combining the first and second sub-beams propagated in the first and second arm optical paths, respectively, into an output optical beam; the first arm including a waveguide core and a carrier modification element to induce a phase shift in the first arm optical path relative to the second arm optical path, the carrier modification element including a semiconductor junction; a cladding disposed on at least a portion of the semiconductor junction and at least a portion of a top surface of the optical waveguide core, the cladding having a temperature coefficient of refractive index (dn/dT).sub.cl opposite in sign to a temperature coefficient of refractive index (dn/dT).sub.a1 of the first arm; and one or more insulator claddings proximate to the cladding, at least a portion of the insulator claddings disposed on at least a portion of the doped region of the semiconductor junction.

7. The optical interferometer of claim 6, wherein the semiconductor junction is coupled to the waveguide core.

8. The optical interferometer of claim 7 further comprising an insulating substrate, wherein the waveguide core comprises silicon and is disposed on the insulating substrate, and wherein the cladding is disposed around at least a portion of the waveguide core.

9. The optical interferometer of claim 6, wherein the semiconductor junction comprises a p-i-n junction, and wherein the cladding is proximate to at least a portion of the p-i-n junction.

10. The optical interferometer of claim 6, wherein the cladding comprises a non-semiconductor material.

11. The optical interferometer of claim 10, wherein the non-semiconductor material is a polymer.

12. The optical interferometer of claim 6, wherein the first arm comprises a waveguide core, wherein an effective temperature coefficient of refractive index (dn/dT).sub.e for a combination of the cladding and the waveguide core is about zero.

13. An optical device comprising the optical interferometer of claim 6, wherein the optical device is selected from the group consisting of: a modulator; and, an optical switch.

14. The optical interferometer of claim 6, wherein the carrier modification element comprises a carrier injection element.

15. The optical interferometer of claim 6, wherein the carrier modification element comprises a carrier depletion element.

16. The optical interferometer of claim 6, further comprising the cladding proximate to the second arm, the cladding having a temperature coefficient of refractive index (dn/dT).sub.cl opposite in sign to a temperature coefficient of refractive index (dn/dT).sub.a2 of the second arm.

17. The optical interferometer of claim 6, wherein an effective temperature coefficient of refractive index (dn/dT).sub.e for a combination of the cladding and the optical waveguide at least in part relieves a phase error caused by self-heating from operation of the carrier modification element.

Description

BRIEF DESCRIPTION OF THE FIGURES

(1) Further features and advantages will become apparent from the following detailed description, taken in combination with the appended drawings, in which:

(2) FIG. 1 illustrates an embodiment of a Mach-Zehnder interferometer.

(3) FIG. 2 illustrates an embodiment of a Mach-Zehnder interferometer with a carrier injection induced phase shifter.

(4) FIGS. 3A and 3B illustrate embodiments of an isometric perspective cross-section view and a cross-section view of a phase shifting optical device in the Mach-Zehnder interferometer of FIGS. 1 and 2.

(5) FIG. 3C illustrates a cross-section view of the first arm of FIGS. 3A and 3B.

(6) FIGS. 4A and 4B illustrate embodiments of an isometric perspective cross-section view and a cross-section view of an embodiment of an optical phase shifter.

(7) FIGS. 5A-5E illustrate embodiments of a manufacturing process for an optical interferometer including a phase shifting optical device.

(8) FIGS. 6A, 6B, 6C illustrate alternative embodiments of an optical interferometer showing different cladding deposition options.

(9) FIG. 7 illustrates modeling results for an embodiment of an optical phase shifter.

(10) FIGS. 8A and 8B illustrate an example of a dual driven Mach-Zehnder 22 switch.

(11) FIG. 8C is a plot of extinction ratio vs. phase error for an example embodiment of a dual-driven Mach-Zehnder 22 switch.

(12) FIG. 8D is a plot of deterioration of the extinction ratio vs. phase error for an example embodiment of a dual-driven Mach-Zehnder 22 switch.

(13) It will be noted that throughout the appended drawings, like features are identified by like reference numerals.

DETAILED DESCRIPTION

(14) In an embodiment, an optical phase shifter is provided. The optical phase shifter can reduce sensitivity of the effective index of refraction of the structure to temperature. In an implementation, an optical interferometer is provided, the optical interferometer including at least one such optical phase shifter. In an implementation, an optical switch or a modulator is provided including at least one such optical interferometer.

(15) In an embodiment, the optical interferometer has a first arm defining a first arm optical path and a second arm defining a second arm optical path. A beam splitter is provided for splitting an input optical beam into first and second sub-beams for propagating in the first arm optical path and the second arm optical path, respectively. A beam combiner is provided for combining the first and second sub-beams propagated in the first and second arm optical paths, respectively, into an output optical beam. The first arm includes a carrier modification element to induce a phase shift in the first arm optical path relative to the second arm optical path. The optical interferometer further includes a cladding proximate to the first arm. The cladding has a cladding temperature coefficient of refractive index (dn/dT).sub.cl opposite in sign to a temperature coefficient of refractive index (dn/dT).sub.a of the first arm. A cladding having an opposite in sign (dn/dT).sub.cl cladding reduces the performance deterioration (i.e. extinction ratio deterioration) of the optical device caused by temperature changes between the first arm and the second arm that are a result of driving the optical device.

(16) In an implementation, the first arm comprises a waveguide core and the carrier modification element comprises a p-n junction, or a p-i-n junction. The cladding may be disposed proximate to at least one surface of the waveguide core. In an implementation, the first arm comprises a combination of a waveguide core supported by a silicon insulating substrate and the carrier modification element, and the cladding may be disposed around at least a portion of the waveguide core.

(17) In an implementation, the first arm comprises a semiconductor junction, such as p-n, or a p-i-n, junction, and the cladding is proximate to at least a portion of the p-n, or p-i-n, junction as the case may be.

(18) In an implementation, the cladding is made of a non-semiconductor material. In an implementation, the cladding is a polymer.

(19) In an implementation, the carrier modification element comprises a carrier injection element. In an implementation, the carrier injection element comprises a p-i-n junction. In an implementation, the carrier modification element comprises a carrier depletion element. In an implementation, the carrier depletion element comprises a p-n junction.

(20) In an implementation, due to the combination of the cladding and the first arm, the optical device is less sensitive to temperature differences between the first arm and the second arm than an optical device without the cladding. In the implementation, an absolute value of an effective temperature coefficient of refractive index (dn/dT).sub.e for the combination of the cladding and the first arm is less than an absolute value of a first arm temperature coefficient of refractive index (dn/dT).sub.a.

(21) In an implementation, due to the combination of the cladding and the first arm, the optical device is relatively insensitive to temperature differences between the first arm and the second arm. In the implementation, an effective temperature coefficient of refractive index (dn/dT).sub.e for the combination of the cladding and the first arm is about zero.

(22) In an implementation, the cladding is proximate to the first arm and the second arm. In the implementation, an effective temperature coefficient of refractive index (dn/dT).sub.e for the combination of the cladding and the first arm is about zero and an effective temperature coefficient of refractive index (dn/dT).sub.e for the combination of the cladding and the second arm is about zero. In the implementation, the refractive index for each of the first arm and the second arm in combination with the cladding is insensitive to temperature.

(23) In an implementation, an optical device is provided including the above optical interferometer. In an implementation, the optical device is a modulator. In an implementation, the optical device is an optical switch.

(24) Referring to FIG. 1, an embodiment of an optical interferometer 100 is illustrated. In this example, the optical interferometer 100 includes a beam splitter 110 that receives an optical beam from a source 105. The beam splitter 110 splits an input optical beam into first and second sub-beams for propagating in the first and second arm optical paths: a first arm optical path through a first arm 120; and a second arm optical path through a second arm 115. The first arm 120 including a carrier modification element 122. After passing through the two optical paths, a beam combiner 125 combines combining the first and second sub-beams propagated in the first and second arm optical paths into a single combined output optical beam at the output 127 from the optical device 100.

(25) Operation of the optical interferometer 100 will now be considered. In general, the carrier modification element may be operative as a carrier injection element to inject carriers into the first arm 120. Alternatively, the carrier modification element may be operative as a carrier depletion element to deplete carriers from the first arm 130. In both cases activation of the first arm 120 will induce a phase shift in the first arm optical beam relative to the second arm optical beam. For example, the first arm 120 may be operative to selectively phase shift the first arm beam to an inverse phase from the second arm beam to produce a null output beam at the output 127 as the second arm beam and the first arm beam cancel in phase due to destructive optical interference.

(26) In general, with these types of optical interferometers 100, successful operation relies upon a predictable and stable difference in phase between the first arm 120 and the second arm 115. A problem that has been identified with optical interferometers 100, is that the carrier modification element 122 imparts a heating effect on the first arm 120, raising its temperature relative to the second arm 115. This difference in temperature between the first arm 120 and the second arm 115 affects the relative optical properties of the first arm 120 and the second arm 115. In particular, the refractive index of the silicon based optical devices typically varies with temperature.

(27) The temperature coefficient of refractive index (dn/dT) provides a measure of how an optical structure's refractive index changes based on temperature. Each component of the optical structure, the silicon substrate, substrate SiO.sub.2 insulator, etc. has its own temperature coefficient of refractive index (dn/dT). The effective temperature coefficient of refractive index (dn/dT).sub.e of an optical structure as a whole results from the combined effect of the temperature coefficient of refractive index (dn/dT) for each of the components of the optical structure. Generally for conventional silicon-based optical devices the effective temperature coefficient of refractive index (dn/dT).sub.e is non-zero since both silicon's temperature coefficient of refractive index (dn/dT).sub.Si210.sup.4 and common insulators, such as the example of SiO.sub.2 with a temperature coefficient of refractive index (dn/dT).sub.SiO2110.sup.5, are positive values and as a result are additive.

(28) When the value of the effective temperature coefficient of refractive index (dn/dT).sub.e are non-zero, silicon-based optical devices are thermally sensitive. With a change in temperature, the effective index of refraction changes and, as a result, a relative phase shift will be introduced. In the case of optical devices with temperature differences between their second arm 115 and first arm 120, the phase shift will lead to a phase error when the first arm optical beam and second arm optical beam are combined.

(29) Referring to FIG. 2, an embodiment of an optical interferometer 200 is presented. In the example of FIG. 2, the carrier modification element 122 comprises a carrier injection element and the first arm 120 comprises a p-i-n junction. As illustrated, a driving voltage V.sub.ds applied to the p-i-n junction injects carriers, leading to a phase shift in the first arm optical beam. When the first arm optical beam and the second arm optical beam are combined in the beam combiner 125, the phase difference between the first arm optical beam and the second arm optical beam creates an effect on the output 127 relative to the input 105.

(30) In another example, not illustrated, the carrier modification element 122 comprises a carrier depletion element and the first arm 120 comprises a p-n junction. In this example, a driving voltage V.sub.ds applied to the p-n junction depletes carriers, leading to a phase shift in the first arm optical beam.

(31) In some implementations, the optical interferometer 200 may function as a modulator, where an input 105 is modulated by operation of the carrier modification element 122, where a phase difference is created by operation of the carrier modification element 122 based upon a measurement signal being applied as the driving voltage V.sub.ds. In some implementations, the optical device 200 may act as an optical switch, where an output 127 is switched on or off by selective activation of the carrier modification element 122.

(32) Embodiments of the present invention are applicable to a variety of optical devices where there may be temperature differences between two or more parts of the optical device leading to a difference in the index of refraction between those parts. By way of example, the optical device could form a part of a 22 optical structure, such as a 22 modulator or 22 switch. The illustrations in the present application show a structure with a single first arm and a single second arm for simplicity, but the invention may be extended to cover multiple first arms and second arms, and multiple phase shifters, as may be required.

(33) In all of these examples, activation of the carrier modification element heats the first arm 120 creating a temperature difference between the first arm 120 and the second arm 115. The optical interferometer 200 of FIG. 2, however, has lower sensitivity to temperature differences between the first arm 120 and the second arm 115, and accordingly there will be little to no difference in the index of refraction of each of the first arm 120 and the second arm 115. In an embodiment, the optical interferometer 200 has an effective temperature coefficient of refractive index (dn/dT).sub.e that is close to zero, e.g. less than 10.sup.4. In an ideal case, the effective temperature coefficient of refractive index (dn/dT).sub.e is zero. In this case, self-heating of the first arm 120 does not lead to a change in the refractive index for the first arm 120. Practically speaking, a real world optical interferometer 200 may have an effective temperature coefficient of refractive index (dn/dT).sub.e that, while non-zero, is smaller than what it would normally otherwise be for a conventional optical device. In such case, the thermal sensitivity of the optical interferometer 200 will be less than that of a conventional optical interferometer. Depending upon the degree of thermal sensitivity, the optical interferometer 200 will have minimal change in the refractive index of the first arm 120 over expected temperature differences caused by activation of the carrier modification element 122.

(34) Referring to FIGS. 3A and 3B, an isometric perspective cross-section drawing and a cross-section drawing of an optical phase shifter 300 in the first arm 120 of the optical interferometer 200 of FIG. 2 are presented. In the example of FIGS. 3A and 3B, the optical phase shifter 300 includes an optical waveguide core 148 and a carrier modification element including a p-doped region 144 and an n-doped region 146. A cladding 130 is disposed proximate to the optical waveguide core 148. The cladding 130 has a temperature coefficient of refractive index (dn/dT).sub.cl opposite in sign to a temperature coefficient of refractive index (dn/dT).sub.a of the optical waveguide core 148. The whole structure rests on an insulating layer 142 such as SiO.sub.2 on a silicon substrate 140. The silicon substrate 140 and the insulating layer 142 may be referred collectively as a substrate. The p-doped region 144, the waveguide core 148, and the n-doped region 146 form a p-i-n junction, which may function as a carrier injection element. Other carrier modification elements 122 are contemplated, including carrier depletion elements e.g. based on a p-n junction. A second, insulator cladding 150 disposed over p-doped region 144 and the n-doped region 146 may also be provided in some implementations.

(35) The doped regions could be, for instance, a phosphorous-doped region for the n-type region 146 and a p-type boron-doped region for the p-doped region 144. These are, however, only examples and not intended to be limiting. Connections and contacts to apply a driving voltage V.sub.ds to the doped regions 144 and 146 to activate the carrier injection element are not included in this illustration.

(36) FIG. 3C is a cross-section view of the first arm 120 of FIGS. 3A and 3B including the N contact 152, P contact 154, and vias 153, for applying electrical current to the n-doped region 144 and p-doped region 146.

(37) Referring to FIGS. 4A and 4B, an isometric perspective cross-section drawing and a cross-section drawing of an embodiment of the optical phase shifter 300 are presented. In this embodiment, the cladding 130 extends over the insulator cladding 150, in addition to the silicon waveguide core 148 and the doped regions 144, 146.

(38) In a conventional optical phase shifter, the insulator cladding 150 extends over the entirety of the doped regions 144, 146 and the silicon waveguide core 148. An effective temperature coefficient of refractive index (dn/dT).sub.e for such a first arm 120 would be a non-zero positive value, based on the combination of silicon's temperature coefficient of refractive index (dn/dT).sub.Si and the insulator's, such as SiO.sub.2, temperature coefficient of refractive index (dn/dT).sub.SiO2.

(39) Unlike the conventional optical device, the present optical phase shifter 300 of FIGS. 3A, 3B, and 3C includes the separate cladding 130 that is proximate to at least a portion of the silicon waveguide 146. In these examples, the cladding 130 is proximate to a top surface of the silicon waveguide core 148 and portions of the top surfaces of the doped regions 144, 146. In some implementations, the cladding 130 may be proximate to the silicon waveguide core 148, but separated from the silicon waveguide core 148 by a portion of the insulator 150.

(40) The cladding 130 may be selected to have a cladding temperature coefficient of refractive index (dn/dT).sub.cl opposite in sign to a first arm temperature coefficient of refractive index (dn/dT).sub.a of the other structures of the phase shifter 300 in the first arm 120. Preferably the cladding temperature coefficient of refractive index (dn/dT).sub.cl is both opposite in sign and sized to reduce an effective temperature coefficient of refractive index (dn/dT).sub.e for the first arm 120 such that an absolute value of the effective temperature coefficient of refractive index (dn/dT).sub.e is less than the first arm temperature coefficient of refractive index (dn/dT).sub.a of the remaining structures of the first arm 120 without the cladding 130. More preferably, the cladding temperature coefficient of refractive index (dn/dT).sub.cl is both opposite in sign and sized to reduce an effective temperature coefficient of refractive index (dn/dT).sub.e for the first arm 120 to about zero.

(41) Determination of an effective temperature coefficient of refractive index (dn/dT) for a given structure may be determined through numerical techniques known in the art that model the effect of combining multiple structures of differing temperature coefficient of refractive index (dn/dT). Employing the techniques, a specific material may be selected for the cladding 130 to produce a desired effective temperature coefficient of refractive index (dn/dT).sub.e for a given structure.

(42) In some implementations, the cladding 130 may be a polymer cladding. In some implementations, the polymer may be silicone (i.e. a polysiloxane) based. Other cladding materials are contemplated, provided they are compatible with the materials and manufacturing processes of the optical device, and provide the required magnitude of cladding temperature coefficient of refractive index (dn/dT).sub.cl opposite in sign from the first arm temperature coefficient of refractive index (dn/dT).sub.a of the remaining structures of the first arm 120.

(43) FIGS. 5A-5D illustrate embodiments of an example manufacturing process to manufacture the optical phase shifter 300 of the optical interferometer 200 of FIG. 2. Referring to FIG. 5A, in a first step a silicon structure, such as the waveguide core 148, is defined onto a substrate such as insulator support layer 142 illustrated in FIG. 5A. In this example the insulator is SiO.sub.2. The insulating substrate 142 is typically supported by a silicon substrate 140. Referring to FIG. 5B, in a second step, the implants of P or N are doped into two silicon slab parts to provide the p-doped region 144 and the n-doped region 146. In an embodiment, referring to FIG. 5C, in a third step an insulator cladding 150 is deposited on at least a portion of the doped regions 144 146, leaving the silicon waveguide core 148 exposed. In an alternate embodiment, in a first part an insulator cladding 150 may be deposited across all of the doped regions 144 146 and silicon waveguide core 148, and in a second part a portion of the insulator cladding 150 may be removed down to a location proximate to the silicon waveguide core 148. Referring to FIG. 5D, in a third step the cladding 130 is deposited proximate to the silicon waveguide. In some embodiments, the cladding 130 may be deposited onto the exposed portion of the silicon waveguide core 148. In the embodiment of FIG. 5D, the cladding 130 is deposited onto the top surface of the silicon waveguide core 148. In some implementations, as illustrated in FIG. 5E, there may be a layer of insulator cladding 150 between some or all of the cladding 130 and the silicon waveguide core 148. The layer of insulator cladding 150 may be the product of the insulator cladding deposition, or may be the product of removing insulator cladding 150 after the insulator cladding deposition step. In some embodiments, after deposition of the cladding 130, an effective temperature coefficient of refractive index (dn/dT)e of a waveguide structure formed by the silicon structure and the cladding is about zero. In some embodiments, after deposition of the cladding 130, an effective temperature coefficient of refractive index (dn/dT)e of a waveguide structure formed by the silicon structure and the cladding is smaller than the effective temperature coefficient of refractive index (dn/dT)e of a waveguide structure formed by the silicon structure alone.

(44) FIGS. 6A, 6B, 6C illustrate alternative locations for the cladding 130. In FIG. 6A, the cladding 130 is deposited over the first arm 120 only. In FIG. 6B, the cladding 130 is separately deposited onto each of the first arm 120 and the second arm 115. In FIG. 6C, the cladding 130 is deposited onto the first arm 120 and the second arm 115 collectively as a single monolithic structure.

(45) FIG. 7 illustrates experimental model results for an example model of a first arm illustrated in cross-section. In this example five numerical simulations were run using claddings with differing cladding temperature coefficient of refractive index (dn/dT).sub.cl (dn/dT.sub.a=110.sup.5, dn/dT.sub.b=210.sup.4, dn/dT.sub.c=510.sup.4, dn/dT.sub.d=110.sup.3, dn/dT.sub.e=510.sup.3). As illustrated, when the claddings are each combined with the remaining structures of the modeled first arm, the effective temperature coefficient of refractive index effective temperature coefficient of refractive index (dn/dT).sub.e varies based on the value of the cladding temperature coefficient of refractive index (dn/dT).sub.cl. As illustrated, for this model, in case e with a cladding temperature coefficient of refractive index (dn/dT).sub.cl=510.sup.3, the effective temperature coefficient of refractive index (dn/dT).sub.e for the combination of cladding 130 and the remaining structures of the modeled first arm is calculated to be zero.

(46) FIGS. 8A and 8B illustrate an example of a dual driven optical device 800 in the form of a thermal phase shifter implemented to create a fixed /2 phase bias. In this example, the optical device 800 has a first arm 820 including a first carrier modification element 830 and a second first arm 825 including a second carrier modification element 835. Performance of this example was modelled using L=1000 m, w_p-i-n=2.0 m, w_si=500 nm and h_slab=90 nm. Based on these inputs simulations were run and results for extinction ratio changes with phase error , and deterioration of the extinction ratio vs. phase error were calculated and plotted in FIGS. 8C and 8D. As illustrated in this example, as the phase error reaches 0.5, the deterioration ratio converges with 100% deterioration.

(47) In another example, an optical switch employing only an insulator cladding 150 such as silica (SiO.sub.2) without the cladding 130, was modelled with L=1000 m, w_p-i-n=2.0 m, and the first arm 120 being sufficiently far from the second arm 115 such that self-heating only affects the first arm 120 leading to maximum temperature difference between the first arm 120 and the second arm 115. For an example where the insulator cladding 150 has a (dn/dT).sub.i=210.sup.4 K.sup.1. The temperature change required for a phase shift is T.sub.=/2L(dn/dT).sup.1 or 3.9K. Accordingly, the phase shift per degree K is 0.26/K. Results for driving the prior art version of the optical switch at the examples of carrier surface combination velocity (SRV) of an ideal waveguide/cladding interface (SRV=10 cm/s) and a typically real waveguide/cladding interface (SRV=10000 cm/s) are provided below in Table 1.

(48) TABLE-US-00001 TABLE 1 Contrast ratio Contrast without ratio with surface Phase self- self recom- SRV P/2 T shift heating heating contrast bination* (cm/s) (mw) (K) () (dB) (dB) ratio all surface 10 1 0.1 0.026 29 27 7% 10000 4 0.4 0.1 29 17 41%

(49) In comparison with the prior art version, the optical interferometer 200 in the form of an optical switch was modelled. The optical switch employing a cladding 130 having a cladding temperature coefficient of refractive index (dn/dT).sub.cl=510.sup.4 K.sup.1 based on a typical polymer such as silicone (e.g. polysiloxane). This example is taken from scenario c illustrated in FIG. 7. In this case, the effective temperature coefficient of refractive index (dn/dT).sub.e is about 110.sup.4K.sup.1 for the combination of the cladding with the other first arm structures. Based on this combination, the phase change reduces to about 0.13/K. Results for driving the optical switch including the cladding 130 at the examples of carrier surface combination velocity (SRV) of ideal waveguide/cladding interface (SRV=10 cm/s) and a typically real waveguide/cladding interface (SRV=10000 cm/s) are provided below in Table 1. These results demonstrate that the implementation of the cladding 130 improves the switch contrast ratio.

(50) TABLE-US-00002 TABLE 2 Contrast ratio Contrast without ratio with surface Phase self- self recom- SRV P/2 T shift heating heating contrast bination (cm/s) (mw) (K) () (dB) (dB) ratio all surface 10 1 0.1 0.013 29 28 3% 10000 4 0.4 0.05 29 23 20%

(51) Based on the results indicated in Tables 1 and 2, the selected cladding 130 in this example provides for about a 50% improvement in self-induced switch crosstalk.

(52) By way of example only, and not intended to be limiting, Table 3 illustrates some examples of siloxane polymers and their corresponding refractive index (dn/dT) values. Other suitable cladding materials including other siloxane polymers are considered within the scope of the invention.

(53) TABLE-US-00003 Linear CTE, dn/dT dn/dT Example ppm/K K.sup.1 bulk K.sup.1 film Dimethylsiloxane 325 .sup.5 10.sup.4 3.6 10.sup.4 Dimethyl-methylphenul- 265 4.4 10.sup.4 3.3 10.sup.4 siloxane Methyl-phenylsiloxane 250 3.8 10.sup.4 3.0 10.sup.4 Phenyl-T resin 179 N/A 2.1 10.sup.4 (below and above T.sub.g) 221 2.6 10.sup.4

(54) Although the present application describes specific features and embodiments, it is evident that various modifications and combinations can be made thereto without departing from the invention. The specification and drawings are, accordingly, to be regarded simply as an illustration as defined by the appended claims, and are contemplated to cover any and all modifications, variations, combinations or equivalents that fall within the scope of those claims.