Patent Publication Number: US-7215851-B2

Title: Schemes for controlling optical signals in optically functional waveguide structures

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
   The present application is filed under 35 U.S.C. 111(a) as a continuation of international patent application no. PCT/US2005/011003 (OPI 0015 PB filed Mar. 31, 2005), which international application designates the United States and claims the benefit of U.S. Provisional Application Ser. No. 60/560,918 (OPI 0015 MA), filed Apr. 9, 2004. The present application is also related to U.S. patent application Ser. No. __/____. (OPI 0015 N2), which application also claims the benefit of the above-noted international application. 

   BACKGROUND OF THE INVENTION 
   The present invention relates to the manipulation of optical signals traveling in a waveguide and, more particularly, to the control of an optical signal propagating along a waveguide structure through suitable design and manipulation of an optically functional polymer region incorporated in the waveguide structure. 
   BRIEF SUMMARY OF THE INVENTION 
   In accordance with one embodiment of the present invention, a method of attenuating an optical signal propagating along a waveguide is provided. According to the method, a variable optical attenuator structure is provided comprising a waveguide core, a cladding, an un-poled electrooptic polymer, Kerr Effect electrooptic polymer, and a set of control electrodes. The core, the cladding, and the electrooptic polymer are configured such that an increase in the index of refraction of the polymer causes a substantial portion of an optical signal propagating along the waveguide core to couple into a relatively high index region of the electrooptic polymer and does not return to the waveguide core. The variable optical attenuator structure is operated at a temperature at which chromophores of the un-poled electrooptic polymer are mobile. To control attenuation, the DC driving voltage is varied at the operating temperature between a maximum value sufficient to increase the index of refraction of the polymer and a minimum value where the electrooptic polymer tends towards a less oriented state. 
   In accordance with another embodiment of the present invention, a method of controlling the phase of an optical signal is provided. According to the method, the high index region of the electrooptic polymer is configured to introduce a phase delay in the coupled optical signal and the coupled portion of the optical signal returns to the waveguide core. 
   In accordance with yet another embodiment of the present invention, a method of controlling an optical signal is provided where the un-poled electrooptic polymer defines a height dimension h and is bound on opposite ends of the height dimension h by the waveguide core and the cladding. The un-poled electrooptic polymer is configured to define an index of refraction that varies from an un-coupled value n EO  to a coupled value n EO ′ under application of a suitable electric field generated by the control electrodes. The un-coupled index value n EO  is less than a refractive index n CORE  of the waveguide core. The coupled index value n EO ′ is greater than the un-coupled refractive index value n EO  and an index of refraction n CLAD  of the cladding. The height dimension h, and the respective refractive indices are configured such that an increase in the index of refraction of the polymer to the coupled index value n EO ′ causes a relatively high intensity portion of an optical signal propagating along the waveguide core to couple into the electrooptic polymer, propagate along the electrooptic polymer, and subsequently return to the waveguide core. 
   Accordingly, it is an object of the present invention to provide schemes for controlling an optical signal propagating along a waveguide structure through suitable design and manipulation of an optically functional polymer region incorporated in the waveguide structure. Other objects of the present invention will be apparent in light of the description of the invention embodied herein. 

   
     BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS 
     The following detailed description of specific embodiments of the present invention can be best understood when read in conjunction with the following drawings, where like structure is indicated with like reference numerals and in which: 
       FIG. 1  is a schematic representation of a waveguide structure according to one embodiment of the present invention; 
       FIGS. 2 and 3  are schematic representations of a waveguide structure according to another embodiment of the present invention, incorporating two different electric field induced high index regions therein; 
       FIG. 4  is a schematic representation of a ridge waveguide structure according to the present invention employing cover plate electrodes; 
       FIG. 5  is a schematic representation of a ridge waveguide structure according to the present invention employing on-chip electrodes; 
       FIG. 6  is a schematic representation of a ridge waveguide structure according to the present invention employing tapered transition regions; 
       FIGS. 6A–6C  are graphical representations of respective transverse field profiles of an optical signal propagating at different points along the ridge waveguide structure of  FIG. 6 ; 
       FIGS. 7A and 7B  are graphical representations of optical signal loss and waveguide efficiency in particular ridge waveguide configurations according to the present invention; 
       FIGS. 8A–8E  are schematic representations of particular waveguide structures configured to provide for electrooptic responses that are predominately sensitive to TE polarized light; 
       FIGS. 9A–9C  are schematic representations of particular waveguide structures configured to provide for electrooptic responses that are predominately sensitive to TM polarized light; 
       FIGS. 10A–10C  are schematic representations of particular waveguide structures configured to provide for electrooptic responses that provide for electrooptic responses that are substantially insensitive to the polarization of the optical signal; 
       FIG. 11  is a schematic representation of an optical writing device incorporating a waveguide structure according to the present invention; and 
       FIG. 12  is a schematic representation of a Mach-Zehnder interferometer incorporating a waveguide structure according to the present invention. 
   

   DETAILED DESCRIPTION 
   A scheme for attenuating or otherwise controlling an optical signal propagating along a waveguide in a planar lightwave circuit  5  can initially be illustrated with reference to  FIG. 1 , where a planar lightwave circuit  5  is illustrated comprising a waveguide core  10 , a cladding  20 , an electrooptic polymer  30 , and a set of control electrodes  40 . The electrooptic polymer  30  extends along a portion of the waveguide core  10  in the direction of optical propagation defined by the core  10  and is spaced from the core  10  by a portion of the cladding  20 . 
   The electrooptic polymer  30  is configured to define an index of refraction that varies under application of a suitable electric field generated by the control electrodes  40 . Although it is contemplated that the polymer  30  may comprise a poled or un-poled electrooptic polymer dominated by the Pockels Effect, the Kerr Effect, or some other electrooptic effect, according to one embodiment of the present invention, the polymer  30  is selected such that the variation of the index of refraction is dominated by an electrooptic response resulting from the Kerr Effect. It is contemplated that Kerr Effect mediums are more likely to have the capacity for significantly higher changes in index of refraction than mediums dominated by the Pockels Effect. 
   For the purposes of defining and describing the present invention, in an un-poled polymer medium there is no permanent or relatively permanent bulk ordering of the material prior to application of the electric field described above. Application of the electric field induces a birefringent state, while removal of the applied field leads to relatively rapid relaxation of the material to its original state. A Kerr Effect medium is an un-poled medium that is characterized by a dominant electrooptic response where the application of an electric field at a frequency below the characteristic relaxation frequency of the material produces a birefringence in a propagating optical signal that varies with a square of the magnitude of the applied field. More specifically, the function approximated by the refractive index of a Kerr Effect medium of the present invention may take the form of the following equation:
 
Δn=λKE 2 
 
wherein Δn represents a change in refractive index, λ represents the wavelength of light propagating in the Kerr Effect, K represents the Kerr constant of the Kerr Effect medium and E would represent the magnitude of the electric field applied to the medium. In a standard Kerr material, the refractive index increases along the direction of the applied field and decreases in both orthogonal directions. However, there are Kerr materials in which the refractive index decreases in the direction of the applied field and increases in the other two directions.
 
   Kerr Effect mediums according to the present invention should be able to transition passively from a substantially oriented state towards a substantially isotropic state, particularly where their use in an optically functional region involves active transition to a substantially oriented state. As a result, the present invention contemplates Kerr Effect mediums comprising a polymer/chromophore blend characterized by a degree of chromophore mobility sufficient to enable the optically functional region to transition passively from a substantially oriented state to a substantially isotropic state, typically in less than about one second, and more preferably in less than one millisecond. In addition, where an un-poled, polymeric medium is utilized, the degree of chromophore mobility should also be sufficient to permit transitions from a substantially isotropic state to a substantially oriented state under application of a suitable control signal, particularly where their use in an optically functional region involves active transitions to and from a substantially oriented state. 
   As is noted in Published U.S. Patent Application No. 2004/0184694 A1, the disclosure of which is incorporated herein by reference, a Kerr device can respond to combined low frequency and high frequency electric fields. In this case, the low frequency (DC) electric field orients the chromophores while the oriented chromophores respond to the high frequency field in a manner analogous to the Pockels effect. However, in the Kerr context, removal of the DC electric field leads to a rapid diminishment of the response of the material to the high frequency field. Under a DC driving scheme, the control voltage is applied in such a way that the device performance is maintained at an effectively constant level over time periods much longer than the characteristic orientation time of the Kerr material. This operation scheme mandates effectively constant orientation and birefringence over the time span of the control signal. In contrast, poled materials behave similarly under DC voltage as under higher frequency voltages because the orientational order is not altered by the application of the control voltage. 
   A poled material is one where the material is ordered prior to use and the degree of order remains effectively constant during and substantially after application of the control voltage. The response of the poled material is linear with the applied electric field (Pockels Effect) and is frequency independent from DC to &gt;10 GHz. In the context of poled electrooptic polymers, it may also be advantageous to apply a control signal bias to the polymer to prevent degradation of the orientation over the operational lifetime of the device. One may distinguish between a poled material with applied bias and a Kerr material by the timescale over which orientational relaxation occurs. A Kerr-based device uses the orientational relaxation from the more highly ordered state as part of the operational mechanism of the device, while the orientational relaxation of a poled device with bias occurs over time periods much longer than the expected duration of a given operational state of the device after removal of the applied bias. 
   The core  10 , the cladding  20 , and the electrooptic polymer  30  are configured such that a voltage-induced increase in the index of refraction of the polymer  30  causes a substantial portion of an optical signal propagating along the waveguide core  10  to couple into a relatively high index region  32  of the electrooptic polymer  30 . Further, the core  10 , the cladding  20 , and the electrooptic polymer  30  can be configured such that the coupled portion of the optical signal is either lost in the polymer  30  or is directed away from the core  10  and, as such, does not return to the waveguide core  10 . 
   As is illustrated in  FIGS. 1 and 2 , the waveguide core  10  defines a core thickness occupying a corresponding core layer  12  of the planar lightwave circuit  5 . The core layer  12  extends generally parallel to the lightwave circuit plane P defined by the planar lightwave circuit  5 . The electrooptic polymer  30  and the set of control electrodes  40  are configured to define the high index region  32  substantially above the core layer  12 . In this manner, the active area defined by the waveguide core  10 , the electrooptic polymer  30 , and the set of control electrodes  40  defines a structure that complements the general orientation of additional optical components, e.g., arrayed waveguide gratings, optical splitters, optical amplifiers, etc., that are typically configured in the planar lightwave circuit  5 . Additionally, the core/polymer/electrode configuration of the present invention can be formed in the planar lightwave circuit  5  with minimal disruption to the circuit  5  and its various components. Further, where the structure of the present invention is to be configured to create a network of variable optical attenuators in the planar lightwave circuit  5 , the concept of the present invention makes such a configuration realizable on a dense integrated optical system. An example of such an optical system is illustrated in  FIG. 11 , discussed in detail below. For example, and not by way of limitation, it is contemplated that up to 64, or more, variable optical attenuators can be spaced within the planar lightwave circuit at a pitch of between about 50 μm and about 250 μm. 
   For clarity of illustration, it is noted that the direction of propagation along the waveguide core  10  runs generally orthogonal to printed face of the views presented in  FIGS. 1 and 2 . It is contemplated that, under certain circumstances, the extent of the active region defined by the electrooptic polymer  30  and the control electrodes  40  along the direction of propagation of the optical signal in the core  10  may need to be limited to a given dimension to prevent uncontrolled or premature coupling of all or part of the coupled optical signal back into the waveguide core  10  from the high index polymer region  30 . It is further contemplated that a series of segmented active regions may be presented in the planar lightwave circuit  5  in the event that the optical path presented by the limited dimension of a single active region is insufficient to achieve the desired amount of signal attenuation in operating the device of the present invention. Each of the aforementioned active region segments could be similarly defined by corresponding control electrodes  40  and electrooptic polymer regions  30  of suitable length. It is contemplated that suitable optical path lengths of active region segments according to the present invention can be as long as about 0.25 mm to about 1.0 mm. For example, a total active length of about 4 mm, yielding a loss in excess of 20 dB would be suitable for many applications. In addition, the aforementioned active region segments may be configured so as to alter a selected polarization mode of the optical signal. For example, segments configured to alter the TE polarization mode of the optical signal can be alternated with segments configured to alter the TM polarization mode of the optical signal. 
   In operation, the variable optical attenuator structure is maintained at a temperature at which chromophores of the un-poled electrooptic polymer  30  are mobile. Further, a suitable electric field E is generated in the electrooptic polymer  30  by applying a suitable DC driving voltage to the control electrodes  40 . The resulting electric field E created in the polymer  30  orients a substantial portion of the chromophores in the polymer, increasing the index of refraction of a portion of the polymer to generate the high index region  32  in the polymer. The resulting increase in the index of refraction of the polymer  30  causes a substantial portion of the optical signal propagating along the waveguide core  10  to couple into the relatively high index region  32  of the electrooptic polymer  30 , where the coupled signal is lost from the system. It is contemplated that this increase in index of refraction may only be valid in the context of particular Kerr materials and for TE polarized light or light of other particular polarizations. 
   If the DC driving voltage is varied at the operating temperature of the structure, the degree to which the optical signal couples into the polymer is also varied. This corresponding variance in coupling can be used to control attenuation of the optical signal in the waveguide core  10  because the structure can be configured so that the coupled signal is lost from the core  10 . For its part, the cladding comprises a material that is relatively non-responsive to the electric field. 
   It is contemplated that the DC driving voltage can be varied between a maximum value that is sufficient to create the high index region  32  of the polymer  30  and a minimum value where the electrooptic polymer tends towards a less oriented state. By way of illustration, and not limitation, it is noted that in the case of many suitable Kerr Effect polymers, driving voltages less than about 500V DC may cause insubstantial coupling of the optical signal into the electrooptic polymer  30  while driving voltages above about 500V DC can lead to substantial coupling. Further, it is noted that for many Kerr Effect polymers driving voltages of between about 1000V DC and about 1500V DC can lead to substantially complete coupling of the optical signal into the electrooptic polymer  30 . It is noted that driving voltages will, in many instances, vary significantly from these stated values because they are dependent upon the specific polymer material utilized in accordance with the present invention. Indeed it is contemplated that operational voltages could be as low as a few volts, given the right materials and operating conditions. 
   The electric field is generated such that a major portion of the high index region  32  is spaced well above the waveguide core—typically further from the waveguide core  10  than are the control electrodes  40 . For example, although the representation of the high index region  32  in  FIG. 1  is not intended to present a precise illustration of its location and bounds, it is noted that the electric field may be generated such that a central portion of the relatively high index polymer region  32  is displaced from a central portion of the waveguide core  10  by between about 5 μm and about 10 μm. To this end, the un-poled electrooptic polymer  30  can be spaced from the cladding  20  by between about 1 μm and about 5 μm. 
   The temperature of the optical structure of the present invention should be maintained above a threshold at which the un-poled electrooptic polymer  30  exhibits a degree of chromophore mobility that is sufficient to permit the applied electric field to induce a birefringence sufficiently large to allow for useful operation of the device. For example, and not by way of limitation, the un-poled electrooptic polymer can be configured to exhibit sufficient chromophore mobility at less than between about 70° C. and about 100° C. Although the concepts of the present invention may be employed at variety of operating temperatures, it is noted that this temperature range can be particularly advantageous where the intent is to couple the optical structure to an input or output of an arrayed waveguide grating, as arrayed waveguide gratings often operate at substantially the same temperature. 
   Suitable Kerr Effect mediums for use in the present invention typically comprise a polymer/chromophore blend or a polymer with the chromophore attached as a side chain. The polymer/chromophore blend may, for example, comprise between about 5% and about 20% chromophore, by weight, although other suitable weight % ranges are likely to also be suitable. By way of illustration and not by limitation, it is noted that the polymer may comprise a fluoropolymer or a polymer selected from polycarbonate, PMMA, and polycyclohexane. In the event a solvent is used to enhance chromophore mobility, suitable solvents include, but are not limited to dioxane, THS, and chloroform. In addition, the Kerr effect medium may comprise a chromophore in a crosslinked polymer or sol-gel matrix, as long as the component that possesses the large optical anisotropy has sufficient mobility to reorient under the influence of an applied electric field. The Kerr effect medium may also comprise liquid crystal molecules embedded in the host polymer, or other material where birefringence can be induced by an applied electric field. 
   It is noted that chromophores suitable for use in the present invention will typically comprise molecules that possess optical anisotropy (birefringence) and a dipole moment and that are capable of changing orientation in the presence of an applied electric field. For example, by way of illustration and not limitation, a class of suitable chromophores for use in the present invention comprises a donor component, a bridge component comprising a conjugated and/or aromatic component, and an acceptor component. The donor component may comprise a relatively strong electron-donating group and the acceptor component may comprise a relatively strong electron accepting group. For the purposes of describing and defining the present invention, it is noted that a donor component comprises a component that is capable of donating electrons, an acceptor component comprises a component that is capable of accepting electrons, and a bridge component couples donor and acceptor components strongly. Preferred chromophores may also be selected by accounting for the degree to which they absorb light at the frequency of the propagating signal, with low levels of absorption preferred. 
   By way of illustration and not limitation, chromophores having the molecular structures described in U.S. P.G. Pub. No. U.S. 2004-0184694 A1, the disclosure of which is incorporated herein by reference, may be suitable for use in accordance with the present invention. 
   It is contemplated that un-poled electrooptic polymer polymeric mediums according to the present invention may be provided with acceptable degrees of chromophore mobility and physical stability by either incorporating a plasticizing agent in the medium or ensuring that the operating temperature of the device approaches the glass transition temperature of the medium. For example, it is contemplated that un-poled polymeric mediums characterized by effective glass transition temperatures T g  below about 120° C. and even as low as 20° C. or below would be particularly advantageous as they would eliminate many design constraints associated with maintaining a waveguide device at high temperatures. Polymeric mediums exhibiting chromophore mobility at operating temperatures between about 70° C. and about 100° C. would also be particularly advantageous because these temperatures are compatible with typical operating temperatures of arrayed waveguide gratings and other similar optical components. 
   It is also contemplated that un-poled electrooptic polymers according to the present invention may be provided with an acceptable degree of chromophore mobility by providing a suitable solvent in the medium. In the case of a polymeric medium including a chromophore and a base polymer, suitable solvents will dissolve both the chromophore and the polymer. In many cases, the use of such solvents will yield suitable device operating temperatures at or near room temperature. For the purposes of defining and describing the present invention, it is noted that reference herein to acceptable degrees of chromophore mobility are made with the implicit assumption that the material will exhibit such mobility within at least a portion of the operational temperature range of the device at issue, unless otherwise noted. 
   Referring to the embodiments of the present invention illustrated in  FIGS. 2 and 3 , it is noted that the un-poled electrooptic polymer  30  may be configured to surround a substantial portion of the waveguide core  10 , as opposed to being spaced from the waveguide core  10 , as is the case in the embodiment of  FIG. 1 . In the embodiment of  FIG. 2 , the electric field is generated such that a majority of the relatively high index polymer region  32  is defined in a substantially triangular region defined by the control electrodes  40  and the waveguide core  10 . By way of example, and not limitation, the electric field can be generated such that a central portion of the relatively high index polymer region  32  is displaced from a central portion of the waveguide core  10  by between about 5 μm and about 10 μm. 
   In the embodiment of  FIG. 3 , the strength of the electric field is increased and the central portion of the relatively high index polymer region  32  is driven closer to the core  10 —essentially destroying the core  10  as a single-mode waveguide. In this embodiment, the refractive index of the high index polymer region  32  would approach, reach, or exceed that of the core  10  and the signal propagating in the core  10  would be lost from the system. 
   In embodiments of the present invention where the optical signal that couples into the polymer  30  is dispersed and does not re-enter the waveguide core  10 , it is contemplated that it may be advantageous to employ an electrooptic polymer that exhibits relatively large intrinsic losses. It may also be advantageous to employ an electrooptic medium that exhibits an increased loss rate with increasing refractive index. In this manner, as the optical signal is increasingly withdrawn from the waveguide core  10 , it is more efficiently removed from the system. For example, and not by way of limitation, a well-known example of such a material are polymer-dispersed liquid crystals, where application of an electric field orients the liquid crystal droplets, increasing the effective refractive index along the direction of the applied field and leading to increased light scattering for light polarized along the direction of the applied electric field. 
   In the context of guiding non-polarized light, i.e., optical signals including both a horizontally oriented component TE and a vertically oriented component TM, the positioning of the waveguide core  10  within the contoured electric E generated by the DC driving voltage alters the relative efficiency of the electrooptic interaction with the two dominant polarizations of the propagating optical signal. In some configurations, the TE polarization is altered more than the TM polarization. In other orientations, the opposite is true. 
   Referring to  FIGS. 8–10 , it is noted that the control electrodes  40  can be configured relative to the waveguide core  10  to provide an electrooptic effect that is either polarization independent ( FIGS. 10A–10C ), or will predominately alter TE polarized light ( FIGS. 8A–8E ) or TM polarized light ( FIGS. 9A–9C ). More specifically, the electrode/core configurations illustrated in  FIGS. 8A–8E  are examples that will provide for electrooptic responses that are predominately sensitive to TE polarized light. To a lesser extent (about ⅓) the electric fields E illustrated schematically in  FIGS. 8A–8E  will also affect the TM polarized light. Similarly, the electrode/core configurations illustrated in  FIGS. 9A–9C  are examples that will provide for electrooptic responses that are predominately sensitive to TM polarized light. To a lesser extent (about ⅓) the electric fields E illustrated schematically in  FIGS. 9A–9C  will also affect the TE polarized light. The relation between the effect on TE and TM polarized light is typically different for Kerr mediums. For example, if the index increases for TE, the TM index will decrease by about ½ the amount, assuming the fields are uniform. In many of the electrode configurations illustrated herein, the TM mode will see little change due to the curvature of the electric field. 
   Referring to the embodiment of  FIG. 9C  and any other embodiments where an electrode  40  or other conductive member is to be positioned below the waveguide core  10 , it is contemplated that a region of relatively high conductivity silicon may be formed in or below the cladding  20  and may be utilized as an equivalent to the electrode  40  illustrated below the core  10  in  FIG. 9C . 
   The electrode/core configurations illustrated in  FIGS. 10A–10C  are examples that will provide for electrooptic responses that are substantially insensitive to the polarization of the optical signal. It is noted, however, that the electrode patterns in  FIG. 10  will provide substantially the same response for the TE and TM modes, which is not necessarily the same as polarization insensitivity. 
   For the purposes of describing and defining the present invention, it is noted that TE and TM polarized light represent two independent electromagnetic modes of an optical signal. The electromagnetic field distribution is referred to as the transverse electric (TE) mode where the electric field of the optical signal is perpendicular to the plane extending along the primary axis of propagation of the waveguide core. The electromagnetic field distribution is referred to as the transverse magnetic (TM) mode where the magnetic field of the optical signal is perpendicular to the plane extending along the primary axis of propagation of the waveguide core. It is also noted that in a channel waveguide of the illustrated type, the propagating modes are not purely TE or TM polarized. Rather, the modes are typically more predominantly one or the other and are commonly so designated. Accordingly, a TE polarized mode may merely comprise a distribution where the electric field component parallel to the plane of propagation is the largest component of the signal. Similarly, a TM polarized mode may merely comprise a distribution where the magnetic field component parallel to the plane of propagation is the largest component of the signal. 
   Referring specifically to  FIG. 11 , it is noted that an optical writing device  70  or other type of optical signal output device may be formed as an assembly including a plurality of variable optical attenuator structures  75  configured in any of the variety of respective manners described herein. Specifically, in the illustrated embodiment, the writing device, which may for example be configured as a DVD writing unit characterized by an optical signal pitch on the order of about 50 μm, can be configured for independent control of respective DC driving voltages of the plurality of variable optical attenuator structures indicated generally at  75 . To this end an array of control electrodes  40  and optical waveguide cores  10  are also illustrated in  FIG. 11 . Further, light from a single optical source  72  is directed to the respective attenuator structures via the network of waveguide cores  10 . Each of the attenuators within the plurality of optical attenuator structures  75  is configured direct an optical signal attenuated therein to separate outputs  74  of the optical writing device  70 . 
   Although the above-noted embodiments of the present invention are described in the context of a variable optical attenuator structure, it is also contemplated that the concepts of the present invention may be applied to schemes for controlling the phase of an optical signal. Specifically, waveguide structures according to the present invention may be configured to drive the coupling of the optical signal into the high index region  32  of the un-poled electrooptic polymer  30  and to permit the return of the signal to the waveguide core  10 . The conditions of the propagation of the signal in the high index region  32  could then be tailored to impart a particular phase delay into the optical signal upon its return to the core  10 . For example, referring to  FIG. 12 , it is contemplated that such phase delay structures, represented generally at  85 , could be incorporated into one or both arms  82 ,  84  of a Mach-Zehnder interferometer configuration  80 . The details by which the respective phases of the optical signals traveling along each waveguide arm can be varied to create a variation in the optical signal output from the interferometer structure are beyond the scope of the present invention and may be readily gleaned from literature describing Mach-Zehnder interferometers and other related devices. 
   Referring to the “ridge” waveguide structure of  FIGS. 4 and 5 , the present invention also contemplates a scheme for controlling an optical signal propagating along a waveguide where the electrooptic polymer  30  defines a limited height dimension h and is bound on opposite ends of the height dimension h by the waveguide core  10  and the cladding  20 . According to one embodiment of the present invention, the electrooptic polymer  30  is applied above a waveguide structure and the mode shape of a signal propagating along the waveguide core  10  is encouraged to expand and couple vertically into the electrooptic polymer  30 . As the signal propagates along the waveguide structure in the coupled state, the configuration of the device is such that the signal couples back into the waveguide core  10 . Further reference to this type of propagation is made below with reference to  FIGS. 6A–6C . 
   The electrooptic polymer  30  is configured to define an index of refraction that varies from an un-coupled value n EO  to a coupled value n EO ′ under application of a suitable electric field generated by the control electrodes  40 . The un-coupled index value n EO  is typically less than the refractive index n CORE  of the waveguide core  10 , although the un-coupled index value n EO  can be greater than the refractive index n CORE  as long as single mode propagation is maintained. The coupled index value n EO ′ is greater than the un-coupled refractive index value n EO  and the index of refraction n CLAD  of the cladding. Accordingly, the height dimension h can be selected such that a voltage-induced increase in the index of refraction of the polymer to the coupled index value n EO ′ causes a high intensity portion of an optical signal propagating along the waveguide core  10  to couple into the electrooptic polymer  30 . The signal subsequently propagates along the electrooptic polymer  30 , bounded at one extreme by the cladding  20 , and returns to the waveguide core  10 . The shift of the high intensity portion of the propagating signal to and from the polymer  30  is illustrated in more detail in  FIGS. 6A–6C , discussed below. 
   It is noted that the ridge waveguide structure illustrated in  FIGS. 4 and 5  and elsewhere in the present description may employ poled electrooptic polymers where the molecular orientation is substantially fixed in an oriented state (typically by poling the polymer in a heated state and subsequently cooling the polymer) or un-poled electrooptic polymers where the molecular orientation is fixed during operation, under the influence of an applied electric field. It is noted that, in the context of poled materials, a DC voltage or other control signal may be utilized to enhance the orientational stability of the poled material. 
   Referring to  FIG. 6 , it is noted that successful coupling and return of the optical signal to the waveguide core  10  is, to some extent, dependent upon the length l of an active region  50  defined by the control electrodes  40  and the un-poled electrooptic polymer  30 . As is illustrated in  FIG. 6 , the length l of the active region  50  extending along a portion of the waveguide core  10 . By way of illustration, and not limitation, it is contemplated that the active region  50  should, in some embodiments of the present invention, extend for at least about 0.5 cm and less than about 4 cm.  FIGS. 6A–6C  present respective transverse field intensity profiles of the optical signal before entry into the active region  50  (see  FIG. 6A ), coupled into the un-poled electrooptic polymer  30  within the active region  50  (see  FIG. 6B ), and following return to the waveguide core  10  upon exit from the active region  50  (see  FIG. 6C ). A 3 μm vertical shift of the central, high intensity portion of the signal from the 0,0 coordinate of  FIG. 6A  is illustrated in  FIG. 6B  and represents the above-described coupling of the optical signal to the un-poled electrooptic polymer  30 . 
   To promote the return of the coupled optical signal to the waveguide core  10 , the control electrodes  40 , the height dimension h, and the respective refractive indices of the waveguide core  10 , the cladding  20 , and the electrooptic polymer  30  should be configured such that the coupled optical signal is constrained to single-mode propagation in the waveguide core  10  and the high index region of the polymer  30 . Those practicing the present invention should appreciate that a variety of suitable combinations of specific values for these parameters will yield single mode propagation in the core  10  and polymer. However, by way of illustration, and not limitation, it is noted that the height dimension h may be selected to fall between about 1 μm and about 4 μm. Alternatively, it is contemplated that the waveguide structure of the present embodiment may be configured such that a combination of the height dimension h and a corresponding height dimension of the core falls between about 3 μm and about 12 μm. 
   It is also contemplated that the height of the core within the active region may be reduced relative to its height outside of the active region  50 , yielding a partial core within the active region  50 . In this case, the height dimension h of the un-poled electrooptic polymer  30  is selected to compensate for the reduced height of the core, hereafter referred to as the reduced core height h C , so that the electrooptic polymer layer forms as an integral part of the waveguide structure, allowing light to couple into and out of the structure including the reduced height core  10  and the polymer  30 . It is contemplated that signal loss can be minimized by keeping the center of the mode in the active region  50  aligned with the center of the mode in the active region  50  as the optical signal enters and exits the active region  50 . For example, it may be preferable to reduce the height of the core  10  in the active region  50  by about 2 μm and compensate for the reduced height by providing a un-poled electrooptic polymer layer  30  of about 2 μm. It is anticipated that such a configuration may in many instances yield a more effective active region  50  because the propagating optical signal is to a certain extent encouraged to propagate in the polymer  30 , particularly where the DC driving voltage is applied to the polymer. 
   In the context of a reduced core height, it may be preferable to reduce the width of the waveguide core to maintain single mode propagation, particularly if the polymer  30  has an index significantly higher than the core index. It is noted that the tapered waveguide portions discussed below with reference to  FIG. 6  represents an alternative means for maintaining single mode propagation. 
   To further illustrate the partial core configuration discussed above, it is noted as a further example that it may be sufficient to select the reduced core height h C  and the height dimension h to be approximately equal to the corresponding height dimension of the core  10  outside of the active region  50  within a particular range, e.g., about +/−2 μm or less. It is contemplated that reduced core heights h C  between about 1 μm and about 5 μm less than the corresponding height dimension of the core outside of the active region will, in many instances be compatible with conventional and yet to be developed waveguide structures. 
   Also illustrated in  FIG. 6  are respective signal transition regions  60  defined in the vicinity of the input portion and output portion of the active region  50 . In the illustrated embodiment, the transition regions  60  define a tapered waveguide core of decreasing cross-sectional dimension in the vicinity of the input portion of the active region  50  and increasing cross-sectional dimension in the vicinity of the output portion of the active region  50 . It is contemplated that the gradual tapered transitions  60  at the respective input and output of the active region  50  will minimize optical loss as the optical mode propagates into and out of the active region  50 . It is further contemplated that the transition regions  60  may be configured to define a periodically segmented waveguide core in the vicinity of the input portion of the active region  50  and a periodically segmented waveguide core in the vicinity of the output portion of the active region  50 . It is important to note that light propagating through the active region  50  in the ridge waveguide embodiments of the present invention never completely leaves the waveguide core  10 . 
   Although not illustrated in  FIGS. 4 and 5 , it is contemplated that the control electrodes  40  need not be configured on opposite sides of the waveguide core  10 . For example, according to an additional embodiment of the present invention, the control electrodes  40  can be configured in a parallel configuration above and below the core  10  illustrated in  FIGS. 4 and 5 . Additionally, it is contemplated that the electrodes  40  arranged in the parallel configuration described here could be substantially aligned with the core  10 , above and below the core, or offset relative to each other and/or relative to the core  10 . As is discussed above with respect to  FIG. 9C , it is contemplated that a region of relatively high conductivity silicon may be formed in or below the cladding  20  and may be utilized as an equivalent to the electrode  40  below the core  10 . 
   The specific composition of the core  10  is not a point of emphasis in many embodiments of the present invention and may, for example, be selected from materials comprising doped or undoped silica, doped or un-doped silicon, silicon-oxynitride, polymers, and combinations thereof. It is noted, however, that a silicon-oxynitride core may be most suitable in instances where the un-poled electrooptic polymer  30  is characterized by a relatively high refractive index, e.g., a refractive index approaching or exceeding 1.6. 
   As is discussed in detail above with respect to the embodiments of  FIGS. 1 and 2 , the un-poled electrooptic polymer  30  can be a Kerr Effect polymer, where the Kerr coefficient is a function of the properties of the un-poled electrooptic polymer including, but not limited to, the height dimension h. According to one aspect of the present invention, the height dimension h is selected such that Δn is accompanied by a waveguide efficiency in the polymer of at least about 40%, under application of the voltage-induced DC electric field. For the purposes of defining and describing the present invention, it is noted that this waveguide efficiency parameter is a measure of the amount of light that experiences the un-poled electrooptic polymer  30  in a propagating mode. For example, were the waveguide efficiency is about 40%, nearly half of the propagating optical mode experiences the polymer  30 . It is contemplated that efficiency values of at least about 40% will yield substantial control of the optical signal by waveguide devices according to the present invention. 
   Turning to  FIGS. 7A and 7B , it is noted that, given specific design parameters for Δn and the height dimension h, waveguide efficiency is inversely proportional to optical loss in the polymer  30 . Accordingly, it is contemplated that a balance will need to be made in selection of acceptable degrees of optical loss and waveguide efficiency. For example, it is contemplated that the height dimension h will need to be selected such that a target Δn is accompanied by a substantial degree of signal loss, e.g., between about 1 dB and about 10 dB. Indeed, it is contemplated that many embodiments of the present invention will embody signal loss in the active region  50  that is above about 3 dB—a value that would, in many cases, be accompanied by waveguide efficiencies well above 40%, as is illustrated in  FIGS. 7A and 7B . It is noted that these simulation results were taken for a full core height configuration and that better loss characteristics are contemplated for the above-described reduced core height configurations. 
   It is contemplated that the various waveguide structures and optical signal control schemes disclosed herein need not be limited to un-poled electrooptic polymers operating according to the Kerr Effect. Indeed, many of the requisite operational properties of the structures disclosed herein may be achieved through the use of thermo-optics, magneto-optics, electrooptics operating under the Kerr Effect or the Pockels effect, etc. 
   For the purposes of defining and describing the present invention, it is noted that the wavelength of “light” or an “optical signal” is not limited to any particular wavelength or portion of the electromagnetic spectrum. Rather, “light” and “optical signals,” which terms are used interchangeably throughout the present specification and are not intended to cover distinct sets of subject matter, are defined herein to cover any wavelength of electromagnetic radiation capable of propagating in an optical waveguide. For example, light or optical signals in the visible and infrared portions of the electromagnetic spectrum are both capable of propagating in an optical waveguide. An optical waveguide may comprise any suitable signal propagating structure. Examples of optical waveguides include, but are not limited to, optical fibers, slab waveguides, and thin-films used, for example, in integrated optical circuits. 
   It is noted that terms like “preferably,” “commonly,” and “typically” are not utilized herein to limit the scope of the claimed invention or to imply that certain features are critical, essential, or even important to the structure or function of the claimed invention. Rather, these terms are merely intended to highlight alternative or additional features that may or may not be utilized in a particular embodiment of the present invention. 
   For the purposes of describing and defining the present invention it is noted that the term “substantially” is utilized herein to represent the inherent degree of uncertainty that may be attributed to any quantitative comparison, value, measurement, or other representation. The term “substantially” is also utilized herein to represent the degree by which a quantitative representation may vary from a stated reference without resulting in a change in the basic function of the subject matter at issue. 
   Having described the invention in detail and by reference to specific embodiments thereof, it will be apparent that modifications and variations are possible without departing from the scope of the invention defined in the appended claims. More specifically, although some aspects of the present invention are identified herein as preferred or particularly advantageous, it is contemplated that the present invention is not necessarily limited to these preferred aspects of the invention.