Abstract:
A monolithic tapered rib waveguide for transformation of the spot size of light between a semiconductor optical device and an optical fiber or from the fiber into the optical device. The tapered rib waveguide is integrated into the guiding rib atop a cutoff mesa type semiconductor device such as an expanded mode optical modulator or and expanded mode laser. The tapered rib acts to force the guided light down into the mesa structure of the semiconductor optical device instead of being bound to the interface between the bottom of the guiding rib and the top of the cutoff mesa. The single mode light leaving or entering the output face of the mesa structure then can couple to the optical fiber at coupling losses of 1.0 dB or less.

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This invention is related to U.S. patent application Ser. No. 08/603,841 now U.S. Pat. No. 5,745,630 which discloses the cutoff-mesa isolated rib optical waveguide to which the present tapered rib coupler is connected. This patent application is incorporated by reference herein in its entirety. 
    
    
     STATEMENT REGARDING FEDERALLY SPONSORED RESEARCH OR DEVELOPMENT 
     This invention was made with Government support under Contract DE-AC04-94AL85000 awarded by the U.S. Department of Energy. The Government has certain rights in this invention. 
    
    
     BACKGROUND OF THE INVENTION 
     This invention relates to semiconductor optical devices. More specifically it relates to a novel tapered rib waveguide structure useful in coupling the output of the semiconductor optical device into and out of an optical fiber. Even more specifically, it relates to a device that achieves two dimensional expansion or contraction of the output optical mode of single-transverse-mode semiconductor waveguide modulators and lasers. 
     High performance optoelectronic systems using optical fiber signal routing require low-cost and low-loss coupling between single-mode fibers and active or passive semiconductor waveguide devices and circuits. However, the 1-3 μm elliptical modal spot of typical semiconductor waveguides is poorly matched to the 8-9 μm circular modal spot of conventional single-mode optical fibers. This modal mismatch results in a 7-10 dB insertion loss when directly coupling light between these single-mode fibers and semiconductor waveguides. Non-integrated solutions that improve this coupling efficiency often do so at the cost of tight alignment requirements and are thus not well suited for low-cost package using passive alignment systems. Tapered waveguide transitions offer a monolithically-integrated means by which efficient coupling can be achieved with relaxed alignment requirements. Most of these approaches, however, require complex growth or processing steps such as multiple etch-regrowth sequences or lithographic patterning of extremely small radius waveguide tips in order to achieve the desired coupler performance. 
     One reference of interest is U.S. Pat. No. 5,574,742 for a “Tapered Beam Expander Waveguide Integrated with a Diode Laser.” Therein the structure analogous to the tapered rib in the present invention, therein called the first semiconductor waveguiding layer is etched in a multi-step process to form a very sharp (less than 500 Angstroms radius) edge. The light emanating from this edge then is coupled into the optical fiber. The process to form the edge is complicated, the sharpness of the edge is essential to prevent scattering of light, and the height of the structure is critical, given that an etch stop is necessary below the first semiconductor waveguiding layer. This structure does not force the light in this layer down into a lower layer, as is done in the present invention. 
     There remains in the art an unmet need for an improved waveguide coupler structure that can be made easily and yet couple the light between a semiconductor optical device, such as an optical modulator or a laser, and an optical fiber with very high efficiency. 
     BRIEF SUMMARY OF THE INVENTION 
     The various shortcomings and challenges in the prior art have been solved by the present invention which uses a monolithic tapered rib waveguide extending from the end of a small rib waveguide located on top of a thick lower cladding which is partially etched to form a mesa structure. When the small rib is sufficiently wide, the fundamental optical mode is confined to the small rib, and the device functions as an efficient modulator or laser with high confinement of light within the undoped GaAs layer. The tapered rib extends from the end of the small rib towards the output face of the mesa structure, tapering down in width from the small rib to a smaller width at the end of the tapered rib. The decrease in the width of the tapered rib causes the fundamental optical mode to drop down into the mesa structure and away from the tapered rib as its width decreases. The optical mode remains centered below the tapered rib and well-behaved within the mesa. When it exits the output face of the mesa structure, it has excellent divergence characteristics which match extremely well with single mode, long wavelength optical telecommunication fiber, resulting in coupling loss below 1.0 dB for a semiconductor laser. The device works equally well to couple light from a fiber into the optical device having the tapered rib waveguide. The tapered waveguide is particularly well suited for integration with both active and passive etched rib waveguide structures. Fabrication is relatively simple, requiring only patterning and etching of the tapered waveguide and uniform-width outer mesa waveguide without any epitaxial regrowth. 
     Described herein is a tapered rib waveguide and its application to both passive optical modulators at 1.3 μm wavelength and active diode lasers at 0.98 μm wavelength. All of these tapered rib structures achieve less than 1 dB coupling loss to single-mode fiber at the design wavelength and may be fabricated with a single epitaxial growth step followed by conventional lithography and etch steps. One of these devices has even been designed using 1 μm minimum feature sizes and fabricated using contact-print optical lithography. This is the first known use of standard contact-print photolithography in the successful fabrication of a laterally-tapered adiabatic mode expander. 
    
    
     BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWING 
     FIGS. 1A and 1B are cross-section and plan views respectively of the tapered rib waveguide implemented as in a pin (p doped-intrinsic-n doped) modulator. 
     FIGS. 2A,  2 B and  2 C are contour plots of constant field of eigenmodes at three different widths of the tapered rib showing a wide rib with small spot size, an intermediate rib width with spot size in transition and a narrow width with large spot size that has moved down into the mesa, respectively. 
     FIG. 3 is a perspective view taken from an SEM image showing the 25 nm steps in the rib width, this device being made very short to obtain this image. 
     FIG. 4 is a graph showing the individual step coupling efficiency in the tapered region of FIG. 1B as a function of segment width. 
     FIG. 5 is a graph showing radiation scattering loss versus minimum pixel (or step) size used to pattern the tapered rib waveguide. 
     FIG. 6 is a graph showing power transfer efficiency of spot-size transformation as a function of rib waveguide etch depth, relative to the etch depth of FIG.  1 A. 
     FIG. 7 is a series of plots of individual step efficiencies through the taper in FIG. 1B as a function of segment width for a variety of different rib waveguide etch depths, again relative to FIG.  1 A. 
     FIG. 8 is a graph showing individual step coupling efficiencies through the taper in FIG. 1B as a function of segment width for square and rounded rib sidewall-to-mesa interface transitions. 
     FIG. 9 is an isometric view of the tapered rib waveguide used with a laser showing the various elements of the combined device and the expanded size of the output optical mode at the cleaved end (output face) of the device and its downwardly shifted position relative to the confined aspect it has in the active section of the laser. 
     FIG. 10 is a graph showing the threshold characteristics of the laser with and without the tapered rib waveguide as well as power output in a single mode fiber. Data are for 2 microsecond current injection pulses at 1 kHz repetition rate. 
     FIG. 11 is a graph showing the far-field emission patterns of the tapered rib waveguide laser output along axes parallel and perpendicular to the epitaxial layers. The symbols are data from two different devices; the solid line is a simulation. 
     FIGS. 12A and 12B are graphs showing linearly-spaced contour plots of measured near-field emission intensity patterns of a 2 micron-wide control laser and an expanded mode tapered rib waveguide laser. 
     FIGS. 13A and 13B are contour plots of constant fields of eigenmodes at both ends of the UID (Unintentionally Doped) tapered rib waveguide device showing wide rib with small spot size and narrow rib with downwardly shifted large spot size. 
     FIG. 14 is a graph showing individual step coupling efficiencies through the UID taper as a function of segment width for a variety of different rib waveguide etch depths, relative to the device of FIGS. 13A and 13B. 
     FIG. 15 is a plot of the power transfer efficiency of spot-size transformation as a function of rib waveguide etch depth for the UID rib waveguide device, relative to the device in FIGS. 13A and 13B. 
     FIGS. 16A and 16B are far-field emission patterns of UID tapered rib waveguide output along axes parallel and perpendicular to the epitaxial layers. 
     FIGS. 17A and 17B are plan views of two embodiments of the tapered rib coupler, one showing a nonlinear taper and the other showing the tapered rib terminating short of the output face of the mesa. 
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     The following description is divided into several parts. First, the theoretical basis for the device is explained using a doped pin-diode waveguide as an example. Spot-size transformation efficiency is calculated at different tapered rib waveguide etch depths and for etch ribs with rounded bases. Excess loss and fiber coupling performance data are then presented for these tapered rib waveguides fabricated using the example design. Then, using the pin-waveguide as a starting point, a 980 nm wavelength InGaAs/A/GaAs diode laser design is presented and performance data of fabricated laser with this tapered waveguide are shown. Finally, a tapered rib waveguide design suitable for unintentionally doped Schottky diode waveguide modulators is presented and mode-expansion performance data are given. 
     One particular design of a tapered rib device, intended for use with a pin junction optical phase modulator at 1.3 μm wavelength, is shown in FIGS. 1A and 1B. In these figures, a small rib waveguide  10  is located on top of a thick lower cladding  13  which is partially etched to form a mesa structure  12 . When the small rib is sufficiently wide the fundamental optical mode is confined to the small rib  20  (FIG. 2 a ) and the device functions as an efficient modulator with high confinement of light within the undoped GaAs layer. The modulator, not shown, would be monolithically connected to the downward facing surface of the wide end of the tapered rib waveguide in FIG. 1 b  and have a constant width rib of the wide dimension. At the other extreme, when the small rib  18  is sufficiently narrow, the fundamental mode expands to fill the larger mesa waveguide (FIG. 2 c ). This behavior is a consequence of the design of the waveguide layers. The thickness and composition of the GaAs (the high refractive index region and graded AlGaAs layers at the top of the mesa  12  and extending under the small rib  10  are such as to prevent guiding of light within these layers if the upper layers comprising the small rib are etched away. The resulting waveguide allows separate optimization of the optical mode properties of the rib and mesa waveguides at the two extremes of rib width. At large rib widths high-performance modulator function can be achieved while at small rib widths the dimensions of the large mesa and thickness of the lower cladding materials establish the optical mode size of the mesa waveguide for optimum coupling to single-mode fiber. The expanded mode  26  (FIG. 2 c ) has been designed for optimum coupling directly to single-mode 1.3 μm telecommunication fiber. Modal overlap integral calculations predict greater than 90 percent power coupling between the expanded mode and an 8 μm mode diameter optical fiber  17 . 
     Numerical modeling is required to ensure that the mode expansion occurs with a minimum of excess loss. Selection of the most appropriate modeling tool requires consideration of the actual fabrication method and its influence on the final waveguide topology. The tapered waveguide structure is fabricated using electron-beam direct write or optical contact print lithography followed by highly anisotropic reactive-ion-beam etching (RIBE). These techniques result in a waveguide taper comprising abruptly joined straight segments whose widths progressively decrease in precise (e.g. 0.025 μm) steps. An example of a stepped taper is shown in FIG.  3 . The modal evolution of such a waveguide made up of longitudinally invariant segments is well described using a 2D finite-element model to find the fundamental mode at each segment along the taper provided that the taper slope is sufficiently gradual. The radiation loss of the taper can then be calculated using modal overlap integrals to estimate the coupling efficiency across each step and then multiplying all of the individual step-coupling efficiencies to determine the overall power-conversion efficiency. For low-loss waveguides, this radiation loss is the excess taper loss. Such an approach is computationally faster than 3D beam-propagation method and provides accurate eigenmode solutions at each rib width. All 2D modal calculations employ a variable mesh size between 20 and 200 nm with finer meshing used at refractive-index discontinuities. 
     FIG. 4 shows the individual step coupling efficiency through the taper in FIGS. 1A and 1B as a function of segment width. Steps are 0.025 μm and alternate between the left and right sides of the taper. For large rib halfwidths, the mode is confined to the small rib  16  as seen in FIG. ( 2   a ) where the halfwidth is 1.2 μm. As the rib sections narrow, the segment-to-segment coupling is high and varies only slightly with width until the halfwidth of the small rib  18  reaches roughly 0.7 μm. The flat coupling efficiency for large halfwidths results from the mode shape changing only slightly in this section of the taper. Below 0.7 μm halfwidth the mode begins to change shape more rapidly and gradually shift power down into the lower mesa below the rib. FIG. ( 2   b ) shows one of these transitional modes  24 . The changing mode shape and peak intensity location results in a dip of the segment-to-segment coupling between 0.7 μm and 0.3 μm halfwidth. Below 0.3 μm halfwidth the mode  26  is largely confined in the mesa waveguide (FIG. 2 c ) such that further reduction of the small rib width has little influence on the optical mode. Completion of the mode expansion into the large mesa waveguide occurs at significantly large rib widths which can readily be resolved using conventional optical contact lithography. In the present example mode expansion is complete when the rib halfwidth is 0.3 μm. In fact, the rib may be abruptly terminated at any fullwidth below 0.7 μm without significant penalty. Hence, although FIGS. 1A,  1 B and  3  show the end of the tapered section extending to the edge of the mesa, the tapered waveguide could be completely absent from the top of the mesa past a certain point as described above as shown in FIG.  17 B. Shown here are the rib as it tapers from its wide section  75  through its tapered section  79  to its end  74 . The rib sits on the mesa with its side walls  72  and output face  73  with the mesa siting on the substrate  70 . 
     Overall taper radiation loss is the product of all the individual segment-to-segment coupling efficiencies. In the present example this is 85.7 percent (equivalent to 0.67 dB radiation loss). A three-dimensional beam propagation calculation was used to benchmark the successive modal overlap model and to aid in selecting a taper length for good mode conversion. Results of this calculation are in good agreement with the successive modal overlap model and suggest that tapers with &gt;500 μm length have the desired &lt;1 dB theoretical radiation loss. 
     The two key physical parameters influencing the power conversion efficiency are the step size used in patterning the taper and the etch depth of the rib. Additional modeling has shown that the excess loss of the taper expressed in dB is essentially linearly proportional to the step size used in creating the taper (FIG.  5 ). It is this dependence of radiation loss on sidewall step size that has prompted the use of electron-beam direct write in the initial demonstration of the tapered rib waveguide. Although the minimum dimensions of the taper are within the capabilities of conventional contact lithography, the step size of 0.025 μm required for less than 1 dB excess loss is not available from commercial mask vendors without the use of a reducing reticle. Fabrication of a different tapered rib design using conventional contact printing with a specially-made photolithographic plate is described below. 
     Variation of excess loss with etch depth of the small rib is shown in FIG.  6 . Power conversion efficiency drops linearly with etch depth from the best value of approximately 86% down to only 60% for etching 0.4 μm deeper than shown on FIG. 1 a . Careful examination of the individual step coupling efficiencies of tapers with different etch depths (FIG. 7) provides some insight into the function of the tapered rib waveguide. As is clearly evident in FIG. 7, as the etch depth is increased, the transition point where the greatest variation in the mode shape occurs moves to larger rib sizes. Movement of the transition point to larger rib sizes for deeper etches is a result of the reduced modal effective index of the more deeply etched ribs approaching the effective modal index of the eventual mesa mode more quickly as the rib narrows along the length of the taper. In addition the mode evolution tends to “snap” more quickly from confinement in the rib to confinement in the mesa. In other words, the bulk of the mode transition occurs in just a few segments of the tapered rib waveguide and these few transitions have reduced coupling efficiency. Etching 0.1 μm less deeply than shown in FIG. 1 a  (a relative etch depth of −0.1 μm in FIGS. 6 and 7) results in confinement of the expanded optical mode by the layers at the top of the mesa and no vertical mode expansion. Calculated power coupling efficiency of the expanded-mode waveguide output into an 8-μm spot size (1/e 2  intensity diameter) single-mode optical fiber remains between 91.7 and 93.7 percent for all the waveguides plotted in FIG.  6 . 
     Clearly, control of the etch depth to within 0.05μm is required for fabrication of high-quality tapered rib spot-size transformers. In-situ reflectometry monitoring of etch depth is used to achieve the needed etch-depth control and reproducible mode-expansion efficiency. As a further aid in fabrication of tapered rib waveguides, the use of linear tapers with width variation in excess of the minimum required for spot-size transformation provides substantial tolerance to rib width, etch depth variations, and inaccuracies in epitaxial layer composition and thickness. Non-linear tapers, with a rapid width variation in regions where the mode shape is relatively insensitive to rib width and much slower variation in the critical width region where the bulk of the mode transformation occurs as shown in FIG.  17 A. The rib sits on the mesa with its side walls  72  and its output face  73  with the mesa sitting on the substrate  70 . The rib has a non-linear taper between its wide section  75  and its narrow section  78 , with the steep taper in portion  76  and the more gradual taper in portion  77 , offer much shorter overall coupler lengths (and lower absorption losses) but also have significantly reduced processing tolerances for fabrication of low-loss couplers. 
     A common result of semiconductor rib waveguide etching is a rounded transition between the vertical rib sidewall and the horizontal mesa surface. Ribs with such a fillet behave within a tapered rib device as though the rib were square but slightly larger than the desired width. FIG. 8 shows plots of the individual step coupling efficiency through the taper both with and without an actual 0.25 μm radius fillet at the bottom of the etched rib for the same etch depth used in FIG. ( 4 ). Addition of the radius to the rib reduces the halfwidth of the rib where spot-size transformation occurs by ˜0.1 μm and slightly improves the power conversion efficiency. The 1.5% improvement in efficiency is a direct result of the more gradual transition between the rib sidewall and mesa top. 
     The tapered rib structure discussed above is intended for use with high figure-of-merit pin phase modulators or Mach-Zehnder interferometers at 1.3 μm wavelength. Demonstration of coupler operation was done using discrete straight rib waveguides (FIG. 2 a ) and mesa waveguides (FIG. 2 c ) along with tapered rib waveguide structures on mesa waveguides (FIGS. 2 a - 2   c  and FIG. 1 b ). These were fabricated using (AI)GaAs waveguides identical to FIG. ( 1   a ). The linearly-tapered waveguides used a w=0.7 μm final narrow width. Epitaxial layers were grown by molecular-beam epitaxy. The upper and lower cladding layers were doped p- and n-type, respectively, so that the 2.4 μm-wide rib waveguides are compatible with reverse-biased pin-junction phase modulators. Waveguide rib structures were patterned using electron-beam direct-write lithography with negative-acting electron-beam resist and a 25 nm exposed pixel spacing. Spacing between the 25 nm rib-width steps was approximately 15 μm for a 1 mm taper length. The mesa waveguide was patterned using conventional optical contact-print lithography. Etching of both the rib waveguide and mesa used chlorine reactive-ion-beam etching. Although these devices were patterned with direct-write techniques, the 0.7 μm minimum width of the waveguide taper could be defined using optical methods. 
     To evaluate mode spot-size transformation, a mesa waveguide and a tapered-rib mode converter were alternately excited using a single-mode fiber (3M, FS-HB-6621, design wavelength=1.3 μm and modal field diameter=7.1 ±0.2 μm) emitting light at 1.31 μm wavelength. Power measurements demonstrate total mesa to rib waveguide coupling losses (excess loss) of ˜1.5 -2.0 dB and fiber to mesa coupling losses of ˜0.5 to 1.0 dB. The larger than expected total mesa to rib waveguide coupling losses are understood by the unusually large straight waveguide propagation losses of 9.2 ±0.8 dB/cm exhibited by both the straight rib and mesa waveguides on this sample. 
     An InAlGaAs diode laser with a Tapered rib output was demonstrated at 980 nm wavelength. Such expanded-mode semiconductor lasers are of great interest due to the benefits of reduced far-field divergence and improved coupling efficiency to single-mode optical fiber. The tapered rib laser description (FIG. 9) follows closely that of the previous discussion and comprises a uniform 2 μm-wide AlGaAs/lnGaAs heterostructure gain section 92 and tapered rib waveguide mode converter  90  tapered down to a 0.7 μm final width. Using a procedure identical to that described above for the 1.3 μm wavelength pin waveguide, overall power-conversion efficiency of the mode expansion is estimated to be 90%. The expanded mode  95  supported by the mesa guide has a simulated coupling efficiency to single-mode fiber of greater than 95%. 
     The laser is a strained-quantum-well separate-confinement heterostructure type of the composition set forth in Table 1 below which shows the epitaxial structure of the laser for 980 nm operation. Resonant periodic marker layers used for in-situ monitoring of the etches but having virtually no impact on device performance have been omitted for clarity. 
     
       
         
               
               
               
               
             
           
               
                 TABLE 1 
               
               
                   
               
               
                   
                   
                 Doping 
                   
               
               
                 Material 
                 Thickness (nm) 
                 (cm −3 ) 
                 Description 
               
               
                   
               
             
             
               
                 GaAs 
                 100 
                 p = 8e19 
                 Cap Layer 
               
               
                 Al 0.1 Ga 0.9 As 
                 500 
                 p = 2e18 
                 Upper Cladding 
               
               
                 Al 0.1 Ga 0.9 As 
                 1500 
                 p = 5e17 
                 Upper Cladding 
               
               
                 grade from 
                 90 
                 uid 
                 Graded Interface 
               
               
                 GaAs 
                 60 
                 uid 
                 Active 
               
               
                   
                   
                   
                 Waveguide 
               
               
                 In 0.2 Ga 0.8 As 
                 8 
                 uid 
                 Quantum Well 
               
               
                 GaAs 
                 15 
                 uid 
                 Barrier 
               
               
                 In 0.2 Ga 0.8 As 
                 8 
                 uid 
                 Quantum Well 
               
               
                 GaAs 
                 60 
                 uid 
                 Active 
               
               
                   
                   
                   
                 Waveguide 
               
               
                 grade to Al 0.05 Ga 0.95 As 
                 100 
                 uid 
                 Graded Interface 
               
               
                 Al 0.1 Ga 0.9 As 
                 2000 
                 n = 5e17 
                 Mesa Waveguide 
               
               
                 Al 0.1 Ga 0.9 As 
                 5000 
                 n = 1e18 
                 Mesa Waveguide 
               
               
                 Al 0.1 Ga 0.9 As 
                 1000 
                 n = 2e18 
                 Mesa Waveguide 
               
               
                 Al 0.4 Ga 0.6 As 
                 1000 
                 n = 3e18 
                 Waveguide 
               
               
                   
                   
                   
                 Barrier 
               
               
                 GaAs 
                 substrate 
                 n+ 
               
               
                   
               
             
          
         
       
     
     A 2 μm-wide rib waveguide is etched in the cladding region above the quantum wells to define the active lasing section in a region of high vertical confinement factor. A tapered rib output coupler section is inserted between the active waveguide and one of the cleaved facets by tapering the rib waveguide width from 2 μm to 0.7 μm over a length of 1.0 mm. A second 10 μm-wide outer mesa provides lateral confinement of the expanded optical mode propagating within the thick lower cladding. The low 10% Al content of the cladding material prevents formation of modes guided by the remaining GaAs material at the top of the mesa and subsequent failure of the mode expansion. Overall length of the lasers is 1.5 mm of which 1 mm is contacted for electrical current injection. The tapered rib section is electrically injected only in the first half of the coupler where significant overlap of the optical mode and InGaAs quantum wells exists. 
     Lasers were fabricated in MOCVD-grown material using two lithography-and-etch steps. The tapered rib waveguide was defined using electron-beam direct-write lithography. The wide mesa was patterned using optical contact printing. Both were etched using non-selective Cl 2  dry etching. After etching, the surface was coated with plasma deposited SiO 2 , a window opened on top of the rib for p-side ohmic metallization and BeAu ohmic contacts formed. The backside of the wafer was coated with AuGeNiAu ohmic contact metallization prior to rapid-thermal annealing at 360° C. As experimental control devices, uniform 2 μm wide lasers were also fabricated on the same wafer as the tapered rib lasers. Final lasers were tested as-cleaved without facet coatings or heatsink. Injection current was pulsed using 2 μs pulses at a 1 kHz repetition rate. FIG. ( 10 ) shows the light output characteristic of a tapered rib laser and a 2-μm wide by 1.25 mm-long control device. Although slope efficiencies are comparable, threshold current of the tapered rib laser is 110 mA compared to 81 mA for the control. In addition, a kink is seen at approximately 150 mA injection current in the tapered rib laser output which is not seen in the control device output. This behavior may be due to non-ideal current injection in the taper section. Only a portion of the taper is contacted for current injection. Current injection into the taper stops at a point approximately midway along the length where the width of the rib becomes too small to open a contact window in the dielectric cap using conventional contact lithography. As a result light confined in the quantum wells below the un-contacted taper region will experience higher absorption. This higher absorption increases the lasing threshold current and reduces efficiency. However, as the current injection increases the quantum well refractive index will decrease in the contacted regions of the rib causing the mode to move into the mesa at relatively larger rib widths. Therefore, at higher injection levels the overall absorption loss of the taper will decrease resulting in an increase in laser efficiency. The kink at ˜150 mA injection current is consistent with increased laser efficiency resulting from reduced taper losses. More uniform current injection using optimized layer doping, taper length, processing and electrical contacting are expected to give reduced lasing threshold compared to these demonstration devices. 
     Coupling efficiency of the tapered rib output to optical fiber was measured using a 1 m length of Spectran SMB-E1310B fiber (this fiber is single mode above 1.25 μm wavelength and has an NA=0.17 at l=1.3 μm.) butt-coupled to the laser facet. The fiber ends were as-cleaved without polishing or lensing of any kind and the bulk of the fiber length was wrapped around a 9 cm diameter spool. Tapered rib laser output including transmission into and through the length of single-mode fiber is shown as the lower curve in FIG. ( 10 ). Measured coupling loss from the laser into the fiber is only 0.9 dB. 
     The far-field optical emission pattern was measured using a 25 mm-long Si CCD array placed 38 mm from the facet. FIG. ( 11 ) shows the far-field intensity pattern of two representative tapered rib lasers both perpendicular and parallel to the plane of the epitaxial layers. The far-field patterns are quite stable over a wide range of injection current. The solid line of FIG. ( 11 ) is the 1D far-field calculation based on 2D numerical simulations of the tapered rib output. Excellent correlation between the observed and theoretical patterns is observed. The 5.6° and 7.4° full-width-half-maximum (FWHM) far-fields in the perpendicular and parallel axes respectively are significantly smaller and more symmetric than the ˜35° and ˜9° FWHM values commonly seen in conventional double-heterostructure AlGaAs lasers. 
     Near-field image measurements of both a tapered rib laser and a 2 μm-wide control laser are shown in FIGS. ( 12 A and  12 B). The tapered rib laser is clearly seen to have a much larger fundamental optical mode as compared to the control device. As seen schematically in FIG. ( 9 ) and in the measured profile of FIG. ( 12   b ), the output mode is intended to be roughly as tall as it is wide with a characteristic inverted mushroom shape. Back facet emission image of the tapered rib laser is indistinguishable from that of the control laser, FIG. ( 12   a ). No evidence of high-order modes is seen at any tested current level. 
     Unintentionally doped (UID) AlGaAs ridge waveguides for Schottky-barrier Mach-Zehnder interferometers operating at 1.32 μm wavelength represent a third class of waveguide design for which tapered rib sections have recently been used demonstrated to improve fiber coupling performance. In these devices the waveguide core is often relatively thicker and the core-to-cladding index steps smaller than that used for the pin modulator and diode laser. This results in a slightly larger waveguide with different design and performance details for integrated tapered rib waveguides. However, the principle of operation is the same as that of the pin modulator and laser diode. Table 2 below gives the complete epitaxial layer design form a UID waveguide modulator with a tapered rib waveguide mode converter. AlGaAs graded layers show only AlAs content; the remainder is GaAs. 
     
       
         
               
               
               
               
             
           
               
                 TABLE 2 
               
               
                   
               
               
                 Material 
                 Thickness (nm) 
                 Doping (cm −3 ) 
                 Description 
               
               
                   
               
             
             
               
                 Al 0.1 Ga 0.9 As 
                 1250 
                 uid 
                 Upper Cladding 
               
               
                 GaAs 
                 1250 
                 uid 
                 Waveguide 
               
               
                 Al 0.002 Ga 0.8 As 
                 50 
                 uid 
                 Waveguide 
               
               
                 grade 1.2% to 
                 250 
                 uid 
                 Waveguide 
               
               
                 0.2% AlAs 
               
               
                 grade 3.8% to 
                 600 
                 n = 1e17 
                 Waveguide 
               
               
                 1.2% AlAs 
               
               
                 Al 0.038 Ga 0.932 As 
                 50 
                 n = 1e17 
                 Waveguide 
               
               
                 Al 0.03 Ga 0.97 As 
                 500 
                 n = 1e18 
                 Contact Layer 
               
               
                 Al 0.04 Ga 0.96 As 
                 8000 
                 uid 
                 Mesa Guide 
               
               
                 Al 0.1 Ga 0.9 As 
                 1000 
                 uid 
                 Lower Cladding 
               
               
                 GaAs 
                 substrate 
                 uid 
                 Substrate 
               
               
                   
               
             
          
         
       
     
     This UID modulator design uses an n +  contact layer between the rib and the mesa for improved electrooptic efficiency. The calculated unexpanded and expanded fundamental modes for the wide and narrow rib are shown in FIGS. ( 13   a ) and ( 13   b ) respectively. FIG. 14 shows the individual step coupling efficiencies through the taper for various etch depths relative to the rib shown in FIGS. 13A and 13B. Transition of the mode between the small rib and large mesa waveguide occurs at larger rib widths compared to the pin modulator and laser diode. In all cases the narrow dimension of the taper does not need to be any smaller than 1.4 to 1.6 μm for complete mode expansion to occur. Calculation of the power conversion efficiency for mode expansion is shown in FIG. 15 for tapers starting at 3 μm and reducing to 1 μm in width. Power transfer efficiency varies from 64 to 89 percent as the rib etch depth is varied from the bottom to the top of the graded layers. Selection of an ideal etch depth must take into account the conflicting requirements of shallow etching for best spot-size transformation and deep etching for high lateral optical confinement and reduced loss of turning mirrors fabricated with the same etch. An etch depth 0.125 μm deeper than shown in FIG.  15  and corresponding to a relative depth=+0.125 μm in FIGS. 16 and 17 was chosen for its combined high 73 percent transfer efficiency and good lateral confinement. Calculated power coupling efficiency of the expanded-mode waveguide output into an 8-μm spot size (1/e 2  intensity diameter) single-mode optical fiber remains between 93.7 and 94.5 percent for all the waveguides plotted in FIG.  15 . 
     The 1 μm final taper width makes this tapered rib structure particularly well suited for fabrication by optical contact printing. As discussed above, the step size between straight segments of the taper is very important in determining the overall power conversion efficiency. Our model predicts that 0.1 μm steps will yield a significantly lower power transfer efficiency compared to the 0.025 μm steps used in the calculation for FIGS. 14 and 15. For patterning of the UID modulator tapered rib waveguide, a contact-print mask plate was fabricated in our laboratory using electron-beam direct write lithography with 0.025 μm pixel spacing (step size). This contact-print lithography mask was used in a conventional contact print exposure system for photolithographic pattern definition of the desired tapered rib waveguide taper shape. As before, RIBE was used to etch the rib and mesa waveguides to the desired depth. 
     The UID Tapered rib waveguide mode quality and beam expansion were measured at 1.32 μm wavelength. Very good mode expansion and filling of the mesa waveguide is observed when the rib width is reduced to 1.0 μm. Far field measurements of the expanded mode using a 10 mm-wide 2D optical beam profiler placed 11.5 mm away from the exit facet confirm the correct behavior of the tapered rib waveguide mode expansion. FIGS.  16 ( a ) and  16 ( b ) show the measured and calculated far-field profiles of on an 8 μm-wide mesa waveguide with a 1.0 μm-wide rib along axes parallel and perpendicular to the epitaxial layers. The calculated far-field patterns were obtained using the same method as for the tapered rib laser described above. General good agreement between the measured and calculated far-field patterns is seen although the measured pattern parallel to the layers does show some broadening compared to the calculation. The 8.9° and 9.7° full-width-half-maximum (FWHM) far-fields in the perpendicular and parallel axes respectively are close to the respective calculated values of 9.1° and 7.7°. Calculations of the far-field radiation pattern of the unexpanded mode predict 20° and 29° FWHM along the perpendicular and parallel axes respectively. The combined small far-field radiation pattern and large near-field modal spot size where both are in good agreement with theoretical prediction confirm that the UID tapered rib waveguide is operating as expected. 
     In order to get an accurate measure of excess loss within the tapered rib waveguide, several tapers were fabricated end-to-end so that the optical mode was repeatedly compressed and expanded. These multiple taper waveguides were compared to straight rib and mesa waveguides fabricated on the same wafer. Losses were measured at 1.32 μm wavelength using the Fabry-Perot interference method, tuning the cavity length by adjusting the temperature of the waveguide. Straight rib waveguide loss was 1.02±0.17 dB/cm while mesa waveguide losses were 0.77±0.13 dB/cm. Using these straight waveguide losses, the deduced tapered rib waveguide excess loss was 1.84±0.50 dB. This loss corresponds to between 58.3 and 73.4 percent power transfer efficiency through the mode expander. The upper limit of 73.4 percent measured power transfer efficiency is consistent with the calculated 73% efficiency including only the effect of radiation at the steps in the rib width. 
     The above descriptions of the three examples present the best modes of the invention presently known to the inventors. However, those with skill in the art will appreciate that other variations on the basic tapered rib waveguide device are possible. The true scope of the present invention is to be found in the appended claims.