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An inverse-scattering approach to designing optical waveguides with prescribed propagation characteristics of TM modes is presented. The refractive-index profile of the waveguide is formulated as a solution to a nonlinear differential equation whose forcing function is the potential obtained from the application of inverse-scattering theory. This method can reconstruct smooth refractive-index profiles for planar waveguides that support single modes or multimode. The cases of both zero and nonzero reflection coefficients characterizing the transmission properties of waveguides are discussed. A direct analysis technique based on a finite-difference scheme has been formulated to verify the results obtained by the inverse-scattering method, and the two approaches are in excellent agreement.
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Tamil et al. (1993) studied this question.
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