Design Of Optical Planar Waveguides With Prescribed Propagation Constants

Tadeusz Kozek

doi:10.1117/12.939002

10 November 1986 Design Of Optical Planar Waveguides With Prescribed Propagation Constants

Tadeusz Kozek

Author Affiliations +

Proceedings Volume 0670, Optical Fibres and Their Applications IV; (1986) https://doi.org/10.1117/12.939002
Event: Optical Fibres and Their Applications, 1986, Warsaw, Poland

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.

Citation Download Citation

Tadeusz Kozek "Design Of Optical Planar Waveguides With Prescribed Propagation Constants", Proc. SPIE 0670, Optical Fibres and Their Applications IV, (10 November 1986); https://doi.org/10.1117/12.939002

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