A new iterative bidirectional beam propagation method

Author

Lu, Ya Yan ; Wei, Su Hua

Author_Institution

Dept. of Math., City Univ. of Hong Kong, Kowloon, China

Volume

14

Issue

11

fYear

2002

Firstpage

1533

Lastpage

1535

Abstract

A new bidirectional beam propagation method is developed for numerical simulation of wave-guiding structures with multiple longitudinal reflecting interfaces. It is an iterative method that works on the wave field components directly. Operator rational approximations developed in the one-way beam propagation method are used together with a modern Krylov subspace iterative method. Compared with earlier bidirectional beam propagation methods based on the transfer matrix formulation, the new method is numerically stable and models evanescent modes better.

Keywords

approximation theory; diffraction gratings; iterative methods; optical waveguide filters; optical waveguide theory; optical waveguides; reflectivity; stability; Krylov subspace iterative method; add drop optical filters; bidirectional beam propagation method; bidirectional beam propagation methods; evanescent mode modelling; gratings; iterative bidirectional beam propagation method; iterative method; multiple longitudinal reflecting interfaces; multiple reflecting interfaces; numerical simulation; numerically stable; one-way beam propagation method; operator rational approximations; optical waveguide theory; photonic devices; transfer matrix formulation; wave field components; wave-guiding structures; Iterative methods; Mathematics; Numerical simulation; Optical filters; Optical propagation; Optical scattering; Optical waveguides; Particle scattering; Tellurium; Transmission line matrix methods;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/LPT.2002.803904

Filename

1041993