Highly efficient transparent boundary conditions for finite difference beam propagation method at order four

Author

Vassallo, Charles ; Van der Keur, J. Michiel

Author_Institution

CNET, Lannion, France

Volume

15

Issue

10

fYear

1997

fDate

10/1/1997 12:00:00 AM

Firstpage

1958

Lastpage

1965

Abstract

The operation of highly efficient transparent boundary conditions for finite difference beam propagation method (BPM, Berenger layers and “UTBC-q”) is extended to fourth-order finite difference discretization. The efficiency of Berenger layers is strongly enhanced; five-point layers can be considered a practical TBC for three-dimensional (3-D) computations. On the other hand, problems exist where UTBC-q fails

Keywords

boundary-value problems; finite difference methods; optical waveguide theory; optical waveguides; reflectivity; transparency; 3D computations; Berenger layers; UTBC-q; finite difference beam propagation method; five-point layers; fourth-order finite difference discretization; highly efficient transparent boundary conditions; optical waveguide theory; order four; segmented waveguides; Boundary conditions; Computational efficiency; Difference equations; Differential equations; Finite difference methods; Optical devices; Optical propagation; Reflectivity; Sampling methods; Two dimensional displays;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.633600

Filename

633600