Novel generalized finite-difference beam propagation method

Author

Schulz, D. ; Glingener, C. ; Voges, E.

Author_Institution

Lehrstuhl fur Hochfrequenztech., Dortmund Univ., Germany

Volume

30

Issue

4

fYear

1994

fDate

4/1/1994 12:00:00 AM

Firstpage

1132

Lastpage

1140

Abstract

An efficient finite-difference beam propagation method is developed for integrated optic devices. It is based on a numerically efficient and strictly unitary rational approximation of the Helmholtz propagation operator, and is evaluated recursively without matrix inversions. This method satisfies energy conservation in lossless waveguides, is unconditionally stable, and an optimum propagation step can be assessed analytically. Photonic devices with step-index distributions, small layer thicknesses, and arbitrarily large index differences can be simulated. The accuracy and applicability of this new technique is demonstrated for several 2D and 3D examples. Furthermore, the algorithm can easily be implemented even for 3D problems

Keywords

integrated optics; optical waveguide theory; Helmholtz propagation operator; algorithm; energy conservation; generalized finite-difference beam propagation method; integrated optic devices; lossless waveguides; optimum propagation step; photonic devices; small layer thicknesses; step-index distributions; strictly unitary rational approximation; three dimensional problems; Eigenvalues and eigenfunctions; Electromagnetic waveguides; Energy conservation; Finite difference methods; Integrated optics; Laplace equations; Optical propagation; Optical waveguides; Transmission line matrix methods; Waveguide theory;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.291382

Filename

291382