Abstract

A rigorous design rule of corrugated waveguide filters is developed by employing the Gel’fand–Levitan–Marchenko inverse-scattering method for the two-component coupled-wave equations of the Zakharov–Shabat type. In the course of developing the design method, the coupled Gel’fand–Levitan–Marchenko integral equations for the Zakharov–Shabat system having no discrete spectrum are shown to be reducible to a set of linear simultaneous equations amenable to simple numerical calculations when the reflection coefficient is a rational function.

© 1985 Optical Society of America

Design of corrugated optical waveguide filters through a direct numerical solution of the coupled Gel’fand–Levitan–Marchenko integral equations

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Theory of symmetry in optical filter responses

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