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Numerical inverse scattering theory for the design of planar optical waveguides

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Abstract

A numerical inverse scattering theory for synthesizing refractive-index profiles of planar optical waveguides with prescribed transmission characteristics is presented. The method can reconstruct, from nonrational reflection coefficients, an appropriate characterization of truncated refractive-index profiles that model the actual waveguides. A scaling transformation that translates the reconstructed potential of the Schrödinger equation into a class of refractive-index profiles for planar optical waveguides is also discussed.

© 1994 Optical Society of America

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