Comparison of a few transparent boundary conditions for finite-difference optical mode-solvers

Author

Vassallo, Charles ; Van der Keur, J. Michiel

Author_Institution

CNET, Lannion, France

Volume

15

Issue

2

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

397

Lastpage

402

Abstract

Various transparent boundary conditions are investigated for finite difference mode solvers, beyond the classical condition of a uniform exponential decrease for the field. A simple but efficient improvement is proposed with no extra numerical cost. High-order transparent boundary conditions (TBCs) also exist, that lead to even better results but at the cost of more numerical difficulties. Results are given within both the method of lines (MoL) and a two-dimensional (2-D) finite difference technique

Keywords

Helmholtz equations; boundary-value problems; finite difference methods; optical planar waveguides; optical waveguide theory; transparency; 2D finite difference technique; classical condition; finite-difference optical mode-solvers; high-order transparent boundary conditions; method of lines; numerical cost; numerical difficulties; optical waveguide theory; transparent boundary conditions; uniform exponential decrease; Boundary conditions; Costs; Finite difference methods; Optical planar waveguides; Optical refraction; Optical surface waves; Optical variables control; Optical waveguides; Planar waveguides; Two dimensional displays;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.554394

Filename

554394