Mixed finite element beam propagation method

Author

Schulz, Dirk ; Glingener, Christoph ; Bludszuweit, Mark ; Voge, E.

Author_Institution

Lehrstuhl fur Hochfrequenztech., Dortmund Univ., Germany

Volume

16

Issue

7

fYear

1998

fDate

7/1/1998 12:00:00 AM

Firstpage

1336

Lastpage

1342

Abstract

An efficient mixed finite element (FE) beam propagation method (BPM) for three-dimensional (3-D) simulations is developed for integrated optic devices. Wide angle propagation is allowed by applying Pade approximants to the finite element operator. Mixed finite elements prevent spurious modes and accurately model waveguide corners allowing the adequate description of polarization effects. Furthermore, the finite element matrices are Hermitian leading to a unitary propagation scheme if lossless waveguides surrounded by metallic walls are assumed. In contrast to finite difference schemes energy conservation holds explicitly

Keywords

approximation theory; finite element analysis; integrated optics; light polarisation; optical waveguide theory; 3D simulations; Hermitian matrix; Pade approximants; accurately model; conservation holds; finite difference schemes; finite element matrices; finite element operator; integrated optic devices; lossless waveguides; metallic walls; mixed finite element beam propagation method; mixed finite elements; polarization effects; spurious modes; unitary propagation scheme; waveguide corners; wide angle propagation; Finite difference methods; Finite element methods; Integrated optics; Lead; Optical losses; Optical polarization; Optical propagation; Optical waveguides; Propagation losses; Transmission line matrix methods;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.701414

Filename

701414