Stabilising the Du Fort Frankel beam propagation scheme for modelling lossy structures

Author

Sewell, Phillip ; Benson, T.M. ; Vukovic, A.

Author_Institution

Sch. of Electr. & Electron. Eng., Nottingham Univ., UK

Volume

2

fYear

2003

fDate

29 June-3 July 2003

Firstpage

22

Abstract

The Du Fort Frankel beam propagation method is an explicit three level scheme that is ideally suited to parallel computing. In the case of media without loss or gain, the scheme is conditionally stable allowing relatively large propagation steps, however in the presence of loss or gain it is always unstable. A stabilised Du Fort Frankel scheme is presented that extends the scope of this powerful method to cover these practically important scenarios.

Keywords

absorbing media; computational electromagnetics; electromagnetic wave propagation; finite difference methods; numerical stability; 2D scalar formulation; Dirichlet outer boundaries; Du Fort Frankel beam propagation method; conditionally stable scheme; explicit three level scheme; lossy structures; one way propagation; parallel computing; slowly varying envelope approximation; Beams; Bidirectional control; Electromagnetic propagation; Fast Fourier transforms; Optoelectronic devices; Parallel processing; Polarization; Propagation losses; Sparse matrices; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Transparent Optical Networks, 2003. Proceedings of 2003 5th International Conference on

Print_ISBN

0-7803-7816-4

Type

conf

DOI

10.1109/ICTON.2003.1263136

Filename

1263136