APODIZATION OF OPTICAL FILTERS FORMED IN PHOTOSENSITIVE MEDIA

Abstract: Filter gratings are formed in optical waveguides (50) having photosensitive cores by exposing the cores to actinic radiation in the form of interfering beams (38, 40) having peak intensities (72, 74) that are relatively displaced along an optical axis (64) of the waveguides. Each of the interfering beams has a single-lobed intensity profile and a degree of spatial coherence required to achieve a desired fringe contrast between the two relatively displaced beams. Index modulations in the photosensitive core match the illumination (interference) pattern of the radiation. The relative displacement of the interfering beams reduces side lobes of the gratings' spectral responses by leveling the average refractive index of the index modulations. A second exposure with the two beams but without the beams' interference effects further levels the average refractive index.

Description: APODIZATION OF OPTICAL FILTERS FORMED IN PHOTOSENSITIVE MEDIA Technical Field Optical filters formed m photosensitive optical media by patterned exposure (e.g., interference) to actinic radiation generally have band-pass or band-stop spectral response profiles Competing requirements for refractive index vaπations in the media add undesirable "structure" (e.g., side lobes) to the response profiles, which is treatable by various apodization techniques Background Bragg gratings and long peπod gratings are examples of optical filters that can be formed in photosensitive media by patterned exposure to actimc radiation The optical filters typically have cores that are doped with a photosensitive mateπal, such as germanium, that enables the cores to change in refractive index in response to the exposure to actinic radiation, which is generally withm the ultraviolet spectrum The impinging radiation generally raises the refractive index of the exposed portions of the core proportional to the radiation's intensity and the length (time) of exposure The required patterning, which controls both coupling strength and grating peπod, can be accomplished by interference or masking Bragg gratings have peπods less than one-half of the central wavelength of the spectral response, which is best accomplished by angularly interfeπng two beams of the actinic radiation Long peπod gratings have peπods 100 to 1000 times as large and can be wπtten by simple masking For example, an amplitude mask can be patterned to allow spatiallv separated bands of light to illuminate a fiber core for forming a long peπod grating Regardless of the mode of exposure, the intensity profile of the impinging radiation translates into a similarly shaped refractive index profile of the core For example, an impinging beam with a constant intensity profile subject to interference or masking produces uniform index modulations and a constant average index along the exposed portion of the core The resulting spectral response, however, has large side lobes on both sides of the desired band stop An impinging beam with a more typical Gaussian shape produces index modulations and an average refractive index that also follow the Gaussian shape The Gaussian vaπation in the magnitude of the index modulations is helpful toward removing the opposite side lobes, but the accompanying change in the average refractive index produces progressive changes the effective peπod of the grating and typically produces side lobes on one side of the desired band stop Correction of the gratings to remove the undesired side lobes is sometimes referred to as "apodization" because it involves a "shading" of grating amplitude The goals of apodization are generally to achieve a pulse-shaped vaπation (e g , Gaussian or more generally, a shape that increases to a peak and then decreases) in the magnitude of the index modulations while maintaining a constant effective peπod throughout the grating length Many of the known techniques for apodizing optical gratings are expensive, time consuming, or difficult to carry out to required accuracy For example, U S Patent 5,367,588 to Hill et al mounts a nonlinear phase mask next to the photosensitive optical filter media for exposing the media to an unevenly spaced interference pattern The phase mask, which itself functions as a grating, divides a beam of actinic radiation having a Gaussian intensity profile into two interfeπng beams that form the uneven interference pattern A varying pitch of the resulting filter grating compensates for the change in average refractive index that parallels the combined intensity profile of the illuminating beams Such special nonlinear phase masks are expensive to manufacture and can add significant cost to the production of optical filters U S Patent 5,717.799 to Robinson also proposes to correct an unwanted vaπation in a\ erage refractive index accompanying a desired vaπation in the magnitude of the index modulations by varying the grating peπod Suggestions for achieving this objective include individually wπting the grating elements or differentially straining portions of the grating duπng formation (exposure) of the grating elements With peπods as small as one-half micron for typical Bragg gratings, the wπting of individual grating elements is not very practical, and differential straining oi grating portions would greatlv complicate manufacture and lead to potentially inconsistent results U S Patent 5,309,260 to Mizrahi et al uses successive exposures for apodizmg Bragg gratings The first exposure is performed with two interfeπng beams having Gaussian profiles for producing the required vaπation m index modulations A second exposure with a single beam raises the average refractive index at one end of the grating for suppressing subsidiary peaks (fine structure) of the filter s spectral response However, \ aπations in the average refracm e index remain along grating length, which can function similar to a "chirp" and produce an unwanted temporal dispersion in the filtered signals Summa of Invention Our invention shapes the response curves of optical filters including Bragg gratings and long peπod gratings by at least partially separating vaπations in the magnitude of index modulations from vaπations in the average refractive index along a optical axis of the filters The index modulations are preferably formed by a exposure to a beam of actinic radiation having smgle-lobed intensity profile The same or a different exposure can be used to further affect the average refractive index along the optical axis One example combines two beams of actinic radiation to form an interference pattern of appropπate peπod on a photosensitive core of the intended optical filter The two beams oπginate from a common spatially coherent beam having an approximately smc" intensity profile Axes of the two beams are inclined to each other for adjusting the fringe spacing of the interference pattern and are preferably located m a common axial plane of the filter oπentmg the fringes transverse to the optical axis of the filter However, the crossing point of the two axes is offset from the optical axis so that the two axes are relatively displaced along the optical axis For interfeπng beams with smc" intensity profiles, an axial spacing of around 0 88 FWHM (full width at one-half maximum amplitude) is preferred Ordmaπly, any such offset would greatly reduce fringe contrast because the interfeπng beams are spatially offset from each other at their point of intersection with the optical axis of the filter However, a spatial filter is preferably used for shaping the common beam, which enhances the spatial coherence of the resulting interfeπng beams to accommodate their required misalignment The resulting interference pattern is somewhat shorter but retains a pulse-shaped contrast profile and the same fringe spacing The combined intensity profile of the two beams is affected most Offsetting peak intensities of the interfeπng beams along the optical axis of the filter reduces axial vaπation of the combined intensities of the beams within their region of overlap The effect on the filter is to provide a more constant average refractive index within the region of overlap, while preserving a desired pulse-shaped vaπation in the magnitude of index modulations in the same region The fringe contrast, which is the basis for the index modulations, decreases toward the ends of the overlap regions because of differences m intensity between the two beams The new filter has a flattened spectral response with reduced side lobe structure Another example of our invention combines a spatial filter with an offset phase mask to produce a similar spectral response The spatial filter enhances spatial coherence of a beam of actinic radiation that is preferably directed at normal incidence to the phase mask. Most of the radiation is diffracted by the phase mask into the opposite sign first orders and diverges from the phase mask as interfeπng beams However, instead of positioning the phase mask directly against an optical filter medium for wπting a grating in accordance with the usual practice, the phase mask is spaced apart from the filter medium by a distance that separates peak intensities of the mterfeπng beams along an optical axis of the filter medium The amount of separation is adjusted similar to the preceding embodiment to result in a relatively constant combined intensity of the interfeπng beams within a range of beam overlap along the optical axis. Also similar to the preceding embodiment, index modulations formed by the resulting interference pattern retain a pulse-shape vaπation in magnitude A second exposure can be used in combination with the first exposure to further improve the spectral response of the optical filters Two beams are again used simultaneously in positions that are spaced apart along the optical axis of the filters However, the spacing between the beams differs between the exposures The first exposure forms the desired index modulations, and the second exposure cooperates with the first exposure to level the average refractive index. The two beams can oπgmate from the same source including the source for the interfeπng beams of the first exposure However, the second exposure is not used to rewπte index modulations m the filter medium Duπng the second exposure, the spatial filter can be replaced by an amplitude mask that further shapes the overlapping beams but reduces spatial coherence enough to prevent fringes from forming Alternatively, the filter medium or the phase mask can be dithered to average exposure intensities of the pattered illumination (1 e . "wash out" the fringes) The index modulations of Bragg gratings are preferably wπtten with either an interferometer or a phase mask, and a similar setup is preferably used for the second exposure The two exposures are cumulative so their order can be reversed The index modulations of long peπod gratings can be wπtten with less sensitive instrumentation For example, a rectangular transmittance function amplitude mask can be used to wπte the grating However, a phase mask producing two relatively diverging beams is preferably substituted for the amplitude mask to adjust the average refractive index at both ends of the grating while washing out any fringes Drawings FIG 1 is a graph of photo-induced changes refractive index as a function of position along an optical grating formed by exposure to an interference pattern between two completely overlapping beams FIG 2 is a graph of the expected spectral response of the grating of FIG 1 m terms of reflectance as a function of wavelength FIG 3 is a diagram of an interferometer arranged for interfeπng two beams in spatially displaced positions along an optical axis of a waveguide FIG 4 is a graph of exemplary index modulations produced by exposure to the two spatially displaced beams FIG 5 is a graph of the spectral response associated with the index modulations of FIG 4 FIG 6 is a diagram of an optical arrangement for producing two spatially displaced beams with a phase mask that is offset from the illuminated waveguide FIG 7 is a graph of the exemplary index modulations produced by the addition of a second exposure without further interference effects between the beams FIG 8 is a graph of the spectral response associated with the index modulations of FIG n Detailed Description The first two drawing figures, FIGS. 1 and 2, graph the results expected in the past from exposing a photosensitive core of an optical waveguide to two interfering beams having Gaussian intensity profiles. The two beams produce an interference pattern that vanes in fringe contrast along the photosensitive core as a function of the combined Gaussian intensity profiles of the beams. The refractive index of the core, which in this instance increases as a function of the exposure intensity, varies in accordance with the fringe contrast of the interference pattern. Accordingly, the resulting index modulations 10 vary in magnitude along the core in accordance with the Gaussian intensity profile of the combined beams. For clarity, only a few of the usual number of index modulations 10 are shown. (The index modulations 10 of Bragg gratings operating at infrared wavelengths around 1550 nm are typically spaced at period of approximately one-half microns.) The peak- to-trough magnitude variations of the modulations 10 along the photosensitive core progressively diminish from either side of center as desired, but the associated variation in the average refractive index traced by line 12 has the undesirable consequence of varying the effective grating period, i.e., the optical path lengths of the periods. Conditions for reflectivity are met by additional wavelengths beyond those of a desired band, and the resulting gratings can exhibit a chirp that can produce unwanted temporal dispersion of the filtered signals. FIG. 2 graphs the expected spectral response of a grating having the refractive index pattern shown in FIG. 1. The resulting spectral response includes side lobes 14 containing reflections of lower wavelengths outside a desired reflectance band 16, which are sometimes referred to as adding undesirable "structure" to the response profile. Our invention in one or more of its various embodiments provides an additional freedom to level the average refractive index 12 while maintaining the pulse-shaped variation in the peak-to-trough magnitudes of the index modulations 10. Two such embodiments are depicted in FIGS. 3 and 6. The embodiment of FIG. 3 is arranged as an interferometer 20 having a laser source 22 for producing a beam 24 of actinic, temporally coherent radiation. The laser source 22 can be an excimer-pumped frequency-doubled dye laser operating in a wavelength range between 200 and 250 nm for writing gratings. However, other lasers and other wavelengths can also be used in combination with materials sensitive to the alternative wavelengths and power regimes Pulsed or continuous w ave radiation can be used A cyhndπcal lens 26 converges the beam 24 through a line focus 28 A spatial filter 30 in the \ icinity of the line focus 28 diverts high spatial frequency components of the beam 24 for enhancing the beam ' s spatial coherency Details of our preferred spatial filter 30 are disclosed m U.S. Provisional Application No 60/047859 entitled "Spatial Filter for High Power Laser Beam", which is hereby incorporated by reference Leaving the spatial filter 30, the beam 24 has a smc 2 intensity profile A col mator 32 col mates the beam 24, and a second spatial filter 34 removes side lobes from its smc" intensity profile A beamsplitter block 36 divides the beam 24 into two beams~a reflected beam 38 and a transmitted beam 40, each with the truncated sine 2 intensity profile Mirrors 42 and 44 oπent a central axis 46 of the reflected beam 38 through an angle α with respect to a line 48 that extends normal to an optical waveguide 50 under manufacture Mirrors 52, 54, and 56 convey the transmitted beam 40 through an equal number of reflections and oπent a central axis 58 the transmitted beam 40 at an equal but opposite sign angle β to the line 48. Cy ndπcal lenses 60 and 62, which are oπented perpendicular to the cyhndπcal lens 26, increase the power densities of the two beams 38 and 40 by converging the beams 38 and 40 toward respective line focuses in a common axial plane of the waveguide 50 (i.e., the drawing plane of FIG. 3) Beam widths on the order of 5 to 100 micron overlap along an optical axis 64 of the waveguide 50 for lengths on the order of 5 to 30 mm Energy densities of the impmgmg radiation are estimated at approximately 200 mJ/cm 2 /pulse The waveguide 50, which can take such forms as an optical fiber or a planar optic, has an exposed portion 66 that includes a photosensitive core surrounded by a cladding An exemplary photosensitive core is made from a combination of silica and germanium, while the cladding can be composed of silica alone. Hydrogen loading can be used to enhance photosensitivity. An adjustable waveguide mount 70 positions the waveguide 50 with respect to the overlapping beams 38 and 40 Unlike conventional practice, the central axes 46 and 58 of the beams 38 and 40 intersect each other in a position 76 that is offset from optical axis 64 of the waveguide 50 In other words, the central axes 46 and 58. which correspond to the peak intensities of the beams 38 and 40, intersect the optical axis 64 of the waveguide 50 m relatively displaced positions 72 and 74 along the optical axis 64 The misalignment between the central axes 46 and 58 of the beams 38 and 40 where they intersect the optical axis 64 of the waveguide 50 necessitates a high degree of spatial coherency between the beams 38 and 40 to achieve the desired fringe contrast in the resulting interference pattern that illuminates the exposed portion 66 of the waveguide 50 The spatial filter 30 is arranged to fulfill this requirement FIGS 4 and 5 illustrate the comparative results of the relative displacement of the peak intensities of the spatially coherent beams 38 and 40 along the optical axis 64 For example. FIG 4 shows that the required pulse-shaped vaπation in the peak-to- trough index modulations 78 is maintained while the average refractive index 80 is made more constant within the range at which the beams 38 and 40 overlap and interfere FIG 5 shows that a desired reflectance band 82 of the completed Bragg grating is achieved with a significant reduction in the magnitudes of side lobes 84 Steeper sides 86 and 88 of the reflectance band 82 also provide improved performance (e.g., reduced crosstalk) of the grating The central axes 46 and 58 of the two beams 38 and 40 are preferably spaced apart along the optical axis 64 by at least one-half of their full width at half maximum intensity However, for smc 2 intensity profiles, a separation of approximately 0 88 of their full width at half maximum intensity appears to be optimum Too little separation between the axes 46 and 58 (i.e., peak intensities) along the optical axis 64 can leave the refractive index too high at the center of the grating with respect to its two ends Too much separation can excessively reduce the refractive index at the center of the grating with respect to its too ends and can also excessively shorten the length of overlap between the beams 38 and 40 withm which the index modulations are wπtten The vaπous components of the interferometer 20 can be arranged in different ways, added to. subtracted from, or substituted for while still achieving the result of a more level average refractive index produced by smgle-lobed beams m fixed partially overlapping positions. For example, the sine 2 intensity profile of the beam 24 is the result of the particular spatial filter 30, but other smgle-lobed beam profiles including Gaussian beam profiles could also be used The colhmator 32, if required at all, could be positioned after the second spatial filter 34, or a pair of colhmators 32 could be positioned after the beamsplitter 36 More or less reflectors 42, 44, 52, 54, and 56 could be used to relatively oπent the beams 38 and 40. and the crossing point 76 of the beam axes 46 and 58 can be located either before or after the optical axis 64 of the waveguide 50. Imaging optics could also be used to image the interference pattern from a desired plane onto the exposed portion 66 of the waveguide 50 with or without magnification. The desired plane holds the interference pattern that would otherwise be directly formed on the exposed portion 66 of the waveguide 50. Another embodiment 90 for achieving similar results is shown in FIG. 6. The starting point is again a source 92 of actinic radiation, such as an excimer laser operating at a wavelength of 193 nm or 248 nm. Again, other lasers and other wavelengths can be used to suit particular applications or materials. A cylindrical lens 96 in conjunction with a spatial filter 100 enhances the spatial coherence of a beam 94 of the actinic radiation. The intensity profile of the beam 94 is further shaped by a second spatial filter 104 that receives the beam 94 from a collimator 102. A mirror 106 directs the further shaped beam 94 to another cylindrical lens 108 that is rotated through 90 degrees with respect to the cylindrical lens 96 for converging the beam toward a line focus in an axial plane (i.e., the plane of drawing FIG. 6) of an optical waveguide 110 under manufacture. Within the axial plane, the beam 94 remains collimated. A phase mask 112 supported on an adjustable mount 114 interrupts the collimated/converging beam 94 and divides the beam 94 into two collimated but relatively diverging beams 118 and 120 in the axial plane of the optical waveguide 110. The phase mask 112, which is itself a diffraction grating, preferably has a constant period and is further arranged to direct most of the impinging radiation into opposite sign first orders of the grating. Other combinations of orders could also be used including combination of zero and first orders, but the two first orders are preferred. In the vicinity of the phase mask 112. the two beams 118 and 120 overlap and interfere. However, instead of positioning the phase mask 112 directly against an exposed portion 122 of the waveguide 110, the phase mask 112 is spaced apart from the exposed portion 122 by an amount that separates peak intensities 124 and 126 (preferably corresponding to center axes) of the two beams 118 and 120 along an optical axis 128 of the waveguide 110. Spacings of 1 mm to 5 mm are expected to be typical, but larger or smaller spacings can also be used in accordance with the width of the two beams and the desired spectral response of the completed grating. Assuming (a) the optical waveguide 110 is similar to the optical waveguide 50 of FIG. 3, (b) the beam 94 is similar to the beam 24 of FIG. 3, (c) diffraction angles of the beams 118 and 120 are similar to the inclination angles α and β of FIG 3, and (d) the peak intensities 124 and 126 are separated along the optical axis 128 by an amount similar to the separation of the peak intensities 72 and 74 along the optical axis 64 of FIG 3. similar gratings can be produced by the embodiments of FIGS 3 and 6 as exemplified by FIGS 4 and 5 A similar flexibility in the arrangement of components can also be practiced So far both embodiments 3 and 6 have been descπbed with respect to a single exposure of their associate waveguides 50 and 110 Although the improvement depicted m FIGS 4 and 5 is substantial, further improvement is possible by an additional exposure specifically directed to adjusting the average refractive index of the waveguide cores without changing the peak-to-trough magnitude vaπations of the index modulations The second exposure preferably takes place with two overlapping beams, but interference fringe effects on the waveguide cores are avoided Returning to FIG 3, the adjustable waveguide mount 70 can be moved in the direction of arrows 130 to change the separation of the peak intensities 72 and 74 of the beams 38 and 40 along the optical axis 64 The amount of separation duπng the second exposure is preferably more than the separation duπng the first exposure The first exposure optimizes the peak-to-trough magnitude vaπations of the index modulations, and the second exposure further optimizes the average refractive index of the index modulations In other words, only the first exposure affects the peak-to-trough magnitude vaπations of the index modulations, but both the first and second exposures affect the average refractive index of the index modulations Interference between the beams 38 and 40 can be prevented duπng the second exposure by reducing spatial coherence between the beams Spatial coherence can be reduced by substituting an amplitude mask for the spatial filter 30 with the same transmittance function Diffusing optics could also be used to further reduce spatial coherence, or the beams 38 and 40 could be relatively sheared to increase their effective spatial offset Alternatively, interference fringes between the beams 38 and 40 can be "washed out" by ditheπng the optical waveguide in the direction of arrows 132 Any point along the optical axis 64 of the waveguide portion 66 is exposed to the average intensity of the interference pattern spanning a plurality of fringes The further improved results of the two exposures are shown in the graphs of FIGS 7 and 8 The vaπation m the peak-to-trough magnitudes of the index modulations 136 are further optimized by the first exposure, while both the first and second exposures contπbute to a leveling of the average refractive index 138 throughout the range of the index modulations 136. The spectral response graphed in FIG. 8 shows a significant further reduction in side lobes 140 while maintaining the desired reflectance band 142. The embodiment of FIG. 6 is arranged to achieve comparable results. For example, the phase mask 112 is relatively movable m the direction of arrows 146 on the adjustable mount 114 to change the separation of the peak intensities 124 and 126 of the beams 118 and 120 along the optical axis 128. The separation between the peak intensities could also be changed by moving the waveguide 110 on its support 148 similar to the embodiment of FIG. 3. Also, interference effects can be similarly avoided by reducing spatial coherence or washing out the fringes by ditheπng the waveguide 110 or the phase mask 112 in the direction of arrows 150. Although the two exposures have been referred to as first and second exposures to distinguish them from each other, the two exposures can take place m either order- first then second or second then first. Although the peak intensities 72, 74 or 124, 126 of at least one of the two exposures are displaced along the optical axis 64 or 128 of the optical waveguide 50 or 110, the peak intensities of the other of the two exposures may not be necessarily displaced along the optical axis 64 or 128, depending on the desired side lobe suppression. The mdex modulations of long peπod gratings are much more widely spaced than the index modulations of Bragg gratings, and more options are available for writing them including digital amplitude masks. However, a second exposure, particularly with a phase mask, for simultaneously exposing the gratings to two relatively displaced beams can improve performance by leveling the average refractive index of the longer index modulations while washing out any fringes. The Bragg gratings produced according to this invention are particularly useful in commumcation systems. For example, the Bragg gratings can be used to add or drop specific channels or to individually separate the channels in a demultiplexing capacity. Other uses mclude sensors, dispersion compensators, or laser pump stabilizers. The long period gratings produced according to this invention function best as spectrally selective or band-rejection filters for improving operations of devices such as optical amplifiers and noise reducers.

Claims: We claim: 1. An optical filter formed in an optical medium having a series of index modulations along an optical axis corresponding to an intensity pattern of interfering beams of actinic radiation having axes that are relatively displaced along the optical axis in different fixed positions. 2. The filter of claim 1 in which said index modulations correspond in magnitude to relative intensities of an interference pattern between said interfering beams having an average fringe contrast that varies along the optical axis more than an average of the intensity pattern along the same portion of the optical axis. 3. The filter of claim 2 in which said interfering beams are relatively displaced along the optical axis by an amount such that the average of the intensity pattern remains substantially constant throughout a range of overlap between said interfering beams. 4. The filter of claim 1 in which said axes of the interfering beams intersect the optical axis in positions that are separated by at least one-half of their full width at half maximum intensity. 5. The filter of claim 4 in which said axes of the interfering beams intersect the optical axis in positions that are separated by approximately 0.88 of their full width at half maximum intensity. 6. The filter of claim 5 in which said interfering beams have sine 2 intensity profiles. 7. The filter of claim 1 in which said axes of the interfering beams cross in advance of the optical axis of the optical medium. 8. The filter of claim 1 in which said axes of the interfering beams cross after the optical axis of the optical medium. 9. A system for making an optical filter in an optical waveguide medium comprising: a spatial filter that extends spatial coherence of a beam emitted from a source of actinic radiation; a phase mask that converts the spatially coherent beam into two interfeπng beams that illuminate the optical waveguide medium withm the extended spatial coherence of the beam for producing index modulations in the medium, and said phase mask being spaced from the optical waveguide medium by a distance that separates peak intensities of the interfeπng beams along the optical waveguide medium and that levels combined intensities of the interfeπng beams within a range of overlap between the interfeπng beams along the optical waveguide medium 10 The system of claim 9 m which said peak intensities of the beams are separated along the optical waveguide medium by at least one-half of their beams' full width at half maximum intensity 11 The system of claim 9 m which said spatial filter imparts a sine" intensity profile to the spatially coherent beam 12 The system of claim 11 in which said axes of the interfeπng beams intersect the optical axis in positions that are separated by approximately 0 88 of their beams' full width at half maximum intensity 13 The system of claim 9 further compπsmg an adjustment mechanism that changes the spacing between the phase mask and the optical waveguide medium for controlling the separation between peak intensities along the optical waveguide medium 14 The system of claim 13 in which said phase mask is spaced from the optical waveguide medium by a second distance that separates peak intensities of overlapping beams by a different amount along the optical waveguide medium and that results in less vaπation in an average refractive index m the optical waveguide medium within a range of overlap between the interfeπng beams 15 The system of claim 14 further compnsmg means for avoiding fringe effects associated with the overlapping beams at said second distance between the phase mask and the optical waveguide medium 16 The system of claim 15 m which said means for avoiding fringe effects provides for relatively ditheπng the optical waveguide medium with respect to the overlapping beams 17 The system of claim 15 m which said means for avoiding fringe effects provides for relatively ditheπng the phase mask with respect to the spatially coherent beam. 18. The system of claim 15 in which said means for avoiding fringe effects provides for reducing spatial coherence of the two interfeπng beams. 19 The system of claim 9 in which said phase mask has a constant pitch. 20. A method of forming an optical filter compπsmg the steps of: providing an optical waveguide medium having a refractive index that can be altered by exposure to actinic radiation, onenting two angled beams of the actinic radiation to illuminate the optical waveguide medium; and positioning the optical waveguide medium at a distance from a crossing point of the two angled beams within a range of the spatial coherence of the two beams for forming an interference pattern along the optical waveguide medium having less vaπation m average intensity. 21. The method of claim 20 in which said step of positiomng includes separating peak intensities of the two angled beams along the optical waveguide medium by at least one-half of the beams' full width at half maximum intensity. 22. The method of claim 20 including the step of dividing a common beam of the actinic radiation into the two angled beams 23. The method of claim 22 including the step of spatially filteπng the common beam of actinic radiation. 24. The method of claim 23 including the step of arranging the common beam to exhibit a smc" intensity profile. 25. The method of claim 22 in which said step of dividing the common beam is performed by a beamsplitter. 26. The method of claim 22 in which said step of dividing the common beam is performed by a phase mask. 27. The method of claim 20 including the further step of positioning the optical waveguide medium at a different distance from a crossing point of the two angled beams for further reducing variation in the average intensity imparted to the optical waveguide medium within the spatial extent of the interference pattern. 28. A method of making an optical filter in an optical waveguide medium comprising: illuminating the optical waveguide medium with a first set of overlapping beams of actinic radiation having peak intensities located in a first fixed relative position along the optical waveguide medium; producing index modulations in the optical waveguide medium corresponding to a pattern of interference formed on the optical waveguide medium by the first set of overlapping beams in the first fixed relative position; illuminating the optical waveguide medium with a second set of overlapping beams of actinic radiation having peak intensities located in a second fixed relative position along the optical waveguide medium; and adjusting an average index of the illuminated optical waveguide medium with the second set of overlapping beams in the second fixed relative position so that the average index of the illuminated optical waveguide medium exhibits less variation throughout the range of index modulations formed in the optical waveguide medium. 29. The method of claim 28 in which said step of adjusting includes rendering the average index substantially constant throughout the range of index modulations. 30. The method of claim 28 in which said step of illuminating the optical waveguide medium with a second set of overlapping beams includes separating peak intensities of the overlapping beams along the optical waveguide medium by at least one-half of the beams' full width at half maximum intensity. 31. The method of claim 28 including the step of spatially filtering a common beam from which the first set of overlapping beams is divided. 32. The method of claim 28 including the further step of resisting the alteration of the index modulations along the optical waveguide medium by the second set of overlapping beams. 33. An optical filter made according to the method of claim 28 having a photosensitive waveguide medium. 34. A method of making an optical filter comprising the steps of: providing an optical waveguide medium having a refractive index that can be altered by exposure to actinic radiation; directing a first beam of actinic radiation through a phase mask located in a first position with respect to the optical waveguide; diffracting the first beam into a first set of overlapping beams that produce index modulations along an optical axis of the optical waveguide medium; relatively moving the phase mask from the first position to a second position with respect to the optical waveguide; directing a second beam of actinic radiation through the phase mask located in the second position; and diffracting the second beam into a second set of overlapping beams that alter an average refractive index along the optical axis of the optical waveguide medium. 35. The method of claim 34 in which said step of moving includes moving the phase mask substantially normal to the optical axis of the optical waveguide. 36. The method of claim 35 in which both sets of overlapping beams are located in a common axial plane of the optical waveguide. 37. The method of claim 35 in which the second position spaces the phase mask at least one millimeter from the optical waveguide. 38. The method of claim 34 in which the phase mask has a constant pitch. 39. The method of claim 34 in which the second set of overlapping beams have peak intensities that are separated along the optical waveguide medium by at least one- half of the beams' full width at half maximum intensity. 40. The method of claim 34 in which said step of diffracting the second beam includes rendering the average index substantially constant along the optical axis of the optical waveguide medium within a range of overlap between the first set of overlapping beams. 41. The method of claim 34 including the further step of spatially filtering the first beam of actinic radiation for enhancing spatial coherence. 42. The method of claim 34 including the further step of resisting the alteration of the index modulations along the optical axis by the second set of overlapping beams 43. An optical filter made according to the method of claim 34 having a photosensitive waveguide medium. 44 The optical filter of claim 43 in which said optical filter is a Bragg grating. 45 The optical filter of claim 43 in which said optical filter is a long peπod grating. 46. A method of apodizing an optical filter formed by index modulations along an optical axis of a waveguide medium compnsmg the steps of: dividing a beam of actinic radiation into overlapping beams having axes that extend m their directions of propagation; illuminating the waveguide medium with the overlapping beams; separating the axes of the overlapping beams along the optical axis of the waveguide medium; and resisting alteration of the index modulations along the optical axis resulting from interference effects between the overlapping beams so that an average refractive index can be adjusted along the optical axis without substantially changing magnitudes of the index modulations along the optical axis. 47 The method of claim 46 m which said step of separating includes separating the axes of the overlapping beams along the optical axis of the waveguide medium by at least one-half of the beams' full width at half maximum intensity 48. The method of claim 46 in which said step of resisting provides for relatively ditheπng the waveguide medium with respect to the overlapping beams. 49. The method of claim 46 in which said step of dividing includes using a phase mask for dividing the beams. 50. The method of claim 49 in which said step of resisting provides for ditheπng the phase mask. 51. The method of claim 46 in which said step of resisting includes reducing spatial coherence of the overlapping beams 52. An optical filter apodized according to the method of claim 46 having a photosensitive waveguide medium. 53. The optical filter of claim 52 in which said optical filter is a Bragg grating. 54. The optical filter of claim 52 in which said optical filter is a long period grating. 55. A method of apodizing an optical filter formed by index modulations along an optical axis of a waveguide medium comprising the steps of: directing a beam of actinic radiation through a phase mask that divides the beam into overlapping beams that illuminate the waveguide medium; spacing the phase mask apart from the waveguide medium by an amount that separates peak intensities of the overlapping beams along the optical axis; and resisting alteration of index modulations along the optical axis resulting from interference effects between the overlapping beams so that an average refractive index can be adjusted along the optical axis without substantially changing magnitudes of the index modulations along the optical axis. 56. The method of claim 55 in which said step of spacing includes separating the peak intensities of the overlapping beams along the optical axis by at least one-half of the beams' full width at half maximum intensity. 57. The method of claim 55 in which said step of resisting provides for dithering the phase mask. 58. The method of claim 55 in which said step of resisting provides for relatively dithering the waveguide medium with respect to the overlapping beams. 59. The method of claim 55 in which said step of resisting includes reducing spatial coherence of the overlapping beams. 60. An optical filter apodized according to the method of claim 55 having a photosensitive waveguide medium.

Inventors: BHATIA VIKRAM, COOK THOMAS A, MODAVIS ROBERT A, ROBSON CHRISTOPHER D, BHATIA, VIKRAM, COOK, THOMAS, A., MODAVIS, ROBERT, A., ROBSON, CHRISTOPHER, D.
Applicants: BHATIA VIKRAM, COOK THOMAS A, CORNING INC, MODAVIS ROBERT A, ROBSON CHRISTOPHER D, BHATIA, VIKRAM, COOK, THOMAS, A., CORNING INCORPORATED, MODAVIS, ROBERT, A., ROBSON, CHRISTOPHER, D.
Application year: 1999
Main classification: G02B5
IPC codes: G02B5, G02B6, G02B27