The finite-difference vector beam propagation method: analysis and assessment

Author

Huang, Weiping ; Xu, Chenglin ; Chu, Sai-Tak ; Chaudhuri, Sujeet K.

Author_Institution

Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada

Volume

10

Issue

3

fYear

1992

fDate

3/1/1992 12:00:00 AM

Firstpage

295

Lastpage

305

Abstract

The newly developed finite-difference vector beam propagation method (FD-VBPM) is analyzed and assessed for application to two-dimensional waveguide structures. The general formulations for the FD-VBPM are derived from the vector wave equations for the electric fields. The stability criteria, the numerical dissipation, and the dispersion of the finite-difference schemes are analyzed by applying the von Neumann method. Important issues regarding the implementation, such as the choice of reference refractive index, the application of numerical boundary conditions, and the use of numerical solution schemes, are discussed. The FD-VBPM is assessed by calculating the attenuation coefficients and the percentage errors of the propagation constants of the TE and TM modes of a step-index slab waveguide. Several salient features of the FD-VBPM are illustrated

Keywords

difference equations; optical losses; optical waveguide theory; refractive index; wave equations; 2D waveguide structures; TE modes; TM modes; attenuation coefficients; electric fields; finite-difference vector beam propagation method; integrated optics; numerical boundary conditions; numerical dissipation; numerical solution schemes; percentage errors; propagation constants; reference refractive index; stability criteria; step-index slab waveguide; vector wave equations; von Neumann method; Electromagnetic propagation; Electromagnetic scattering; Electromagnetic waveguides; Finite difference methods; Optical fiber dispersion; Optical propagation; Optical waveguides; Partial differential equations; Performance analysis; Stability criteria;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.124490

Filename

124490