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Proceedings Paper

Design Of Optical Planar Waveguides With Prescribed Propagation Constants
Author(s): Tadeusz Kozek
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Paper Abstract

This paper presents a solution for the design problem of a planar inhomogeneous optical waveguide with the refractive-index profile which enables propapation of the N TE modes with prescribed propagation constants. Solutions of the Gelfand-Levitan equation for the case of reflectionless potentials are used to obtain formulae which determine N-parameter family of functions describing refractive-index profiles that support modes with given propagation constants. The analytical form of the solution of the problem is obtained in terms of hyperbolic functions. The formulae for the choice of N arbitrary constants which produces a symmetric refractive-index profile are given. The exact modal solutions for derived refractive-index distributions are presented. Some special cases are discussed in detail.

Paper Details

Date Published: 10 November 1986
PDF: 8 pages
Proc. SPIE 0670, Optical Fibres and Their Applications IV, (10 November 1986); doi: 10.1117/12.939002
Show Author Affiliations
Tadeusz Kozek, Warsaw University of Technology (Poland)


Published in SPIE Proceedings Vol. 0670:
Optical Fibres and Their Applications IV
Ryszard S. Romaniuk; Mieczyslaw Szustakowski, Editor(s)

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