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Proceedings Paper

Synthesis Of Optical Planar Waveguides
Author(s): Tadeusz Kozek
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Paper Abstract

The paper presents a solution for the design problem of planar optical waveguides with refractive-index profiles that support N TE modes with prescribed propagation constants. The N-soliton solution of the Korteweg de Vries equation is used to obtain a formula which determines an N-parameter family of functions describing the refractive-index profiles each of which has the desired property. An analytical form of the solution of the problem is ob-tained in terms of hyperbolic functions. Formulae for the choice of N arbitrary constants which produces the symmetric refractive-index profile are given. The exact modal solutions for derived refractive-index distributions are given in terms of hyperbolic functions. The cases of N=1,2,3 and the hyperbolic-secant profile are discussed in detail.

Paper Details

Date Published: 10 March 1987
PDF: 7 pages
Proc. SPIE 0704, Integrated Optical Circuit Engineering IV, (10 March 1987); doi: 10.1117/12.937195
Show Author Affiliations
Tadeusz Kozek, Warsaw University of Technology (Poland)

Published in SPIE Proceedings Vol. 0704:
Integrated Optical Circuit Engineering IV
Mark A. Mentzer; Sriram Sriram, Editor(s)

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