Approximate scalar finite-element beam-propagation method with perfectly matched layers for anisotropic optical waveguides

Author

Saitoh, Kunimasa ; Koshiba, Masanori

Author_Institution

Div. of Electron. & Inf. Eng., Hokkaido Univ., Sapporo, Japan

Volume

19

Issue

5

fYear

2001

fDate

5/1/2001 12:00:00 AM

Firstpage

786

Lastpage

792

Abstract

The perfectly matched layer boundary condition for arbitrary anisotropic media is incorporated into the approximate scalar beam propagation method. The procedure is based on a finite-element method for three-dimensional anisotropic optical waveguides with off-diagonal elements in a permittivity tensor. In order to treat a wide-angle beam propagation, the Pade approximant operator is employed. To show the validity and usefulness of this approach, numerical results are presented for Gaussian beam propagation in free space and Gaussian beam excitation on a three-dimensional anisotropic optical waveguide

Keywords

anisotropic media; approximation theory; boundary-value problems; finite element analysis; optical waveguide theory; permittivity; tensors; 3D anisotropic optical waveguide; Gaussian beam excitation; Gaussian beam propagation; Pade approximant operator; anisotropic optical waveguides; approximate scalar beam propagation method; approximate scalar finite-element beam-propagation method; finite-element method; free space; off-diagonal elements; perfectly matched layer boundary condition; perfectly matched layers; permittivity tensor; wide-angle beam propagation; Anisotropic magnetoresistance; Boundary conditions; Electromagnetic waveguides; Equations; Finite element methods; Geometrical optics; Optical propagation; Optical sensors; Optical waveguides; Perfectly matched layers;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.923493

Filename

923493