An inverse scattering approach to modeling single-mode gradient-index (GRIN) planar guided-wave devices is presented. The method involves solving the Gelfand-Levitan-Marchenko integral equation to obtain a refractive index profile which is infinite in extent. The theory is developed to account for truncations of this refractive index profile, illustrating the effects of a finite core width on the propagation constant. Refractive index profiles with symmetric and asymmetric cladding indexes are considered and discussed.>
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Mills et al. (1991) studied this question.
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