Variable transformed series expansion approach for the analysis of nonlinear guided waves in planar dielectric waveguides

Author

Molina-Fernández, I. ; Wangüemert-Pérez, J.G.

Author_Institution

Dept. de Ingenieria de Commun., Malaga Univ., Spain

Volume

16

Issue

7

fYear

1998

fDate

7/1/1998 12:00:00 AM

Firstpage

1354

Lastpage

1363

Abstract

Two series expansion methods to calculate modal properties of nonlinear planar dielectric waveguides are presented. Both methods are based on a tangent-type variable transformation of spatial coordinates: one uses Fourier exponentials and the other Chebyshev polynomials. It is shown that these methods can give very accurate results for a broad range of frequency and nonlinearity values

Keywords

dielectric waveguides; nonlinear optics; optical planar waveguides; optical waveguide theory; polynomials; Chebyshev polynomials; Fourier exponentials; modal properties; nonlinear guided wave analysis; nonlinear planar dielectric waveguides; nonlinearity values; planar dielectric waveguides; series expansion methods; spatial coordinates; tangent-type variable transformation; variable transformed series expansion approach; Chebyshev approximation; Dielectrics; Electromagnetic waveguides; Fourier series; Modal analysis; Nonlinear equations; Nonlinear optics; Optical waveguides; Planar waveguides; Polynomials;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.701417

Filename

701417