An efficient scalar finite element formulation for nonlinear optical channel waveguides

Author

Niiyama, Akira ; Koshiba, Masanori ; Tsuji, Yasuhide

Author_Institution

Dept. of Electron. Eng., Hokkaido Univ., Sapporo, Japan

Volume

13

Issue

9

fYear

1995

fDate

9/1/1995 12:00:00 AM

Firstpage

1919

Lastpage

1925

Abstract

A self-consistent numerical approach based on the scalar finite element method is described for the analysis of both TE-like and TM-like nonlinear guided waves in optical channel waveguides. In order to improve the convergence and accuracy of solutions, isoparametric elements and numerical integration formulae derived by Hammer et al. are introduced. Numerical results are presented for nonlinear elliptical core optical fibers, and it is confirmed that in this approach, highly accurate solutions can be obtained with small scale computation. Furthermore, graded-index nonlinear optical channel waveguides are also analyzed, and the influence of refractive-index profiles on propagation characteristics of the nonlinear guided waves is investigated

Keywords

finite element analysis; gradient index optics; nonlinear optics; optical fibre theory; optical waveguide theory; refractive index; TE-like; TM-like; accuracy; convergence; graded-index nonlinear optical channel waveguides; isoparametric elements; nonlinear elliptical core optical fibers; nonlinear guided waves; nonlinear optical channel waveguides; numerical integration formulae; propagation characteristics; refractive-index profiles; scalar finite element formulation; self-consistent numerical approach; small scale computation; Fiber nonlinear optics; Finite element methods; Modal analysis; Nonlinear optics; Optical refraction; Optical sensors; Optical signal processing; Optical variables control; Optical waveguides; Planar waveguides;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

Conference_Location

9/1/1995 12:00:00 AM

ISSN

0733-8724

Type

jour

DOI

10.1109/50.464743

Filename

464743