Simple nonparaxial beam-propagation method for integrated optics

Author

Hernández-Figueroa, H.E.

Author_Institution

Dept. of Electron. & Electr. Eng., Univ. Coll. London, UK

Volume

12

Issue

4

fYear

1994

fDate

4/1/1994 12:00:00 AM

Firstpage

644

Lastpage

649

Abstract

A simple beam-propagation method for solving the scalar TE nonparaxial or Helmoltz equation is presented. This versatile algorithm, based on a two-step finite-difference scheme for solving the propagation coordinate, is amenable to be easily extended to solve vector wave equations, which could take into account nonlinear effects. In addition, a general procedure to check its stability is given in detail. The applicability of the present method and its distinction from paraxial or Fresnel solutions are demonstrated through several examples, including very strongly guided structures of variable transverse section

Keywords

finite difference methods; integrated optics; nonlinear optics; optical waveguide theory; Helmoltz equation; integrated optics; nonlinear effects; nonparaxial beam-propagation method; propagation coordinate; scalar TE nonparaxial equation; stability; strongly guided structures; two-step finite-difference scheme; variable transverse section; vector wave equations; versatile algorithm; Finite difference methods; Integrated optics; Nonlinear equations; Optical propagation; Partial differential equations; Performance analysis; Polarization; Stability; Tellurium; Transmission line matrix methods;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.285359

Filename

285359