A modified imaginary distance BPM for directly computing arbitrary vector modes of 3-D optical waveguides

Author

Chamorro-Posada, Pedro

Author_Institution

Dept. de Teoria de la Senal y Comunicaciones e Ingenieria Telematica, Univ. de Valladolid, Spain

Volume

21

Issue

3

fYear

2003

fDate

3/1/2003 12:00:00 AM

Firstpage

862

Lastpage

867

Abstract

A method for the direct calculation of arbitrary vector modes of three-dimensional optical waveguides is presented. The proposed mode-solving scheme, based on a modified imaginary distance beam propagation method, provides an easy to implement explicit algorithm. A finite-difference discretization is used in the transverse plane and a Chebyshev approximation in the propagation direction. Approximate values of the propagation constants of the modes to be calculated are required and it is demonstrated that this data can be obtained in an efficient way by using the least squares Prony method.

Keywords

Chebyshev approximation; convergence of numerical methods; finite difference methods; least squares approximations; optical waveguide theory; vectors; 3-D optical waveguides; Chebyshev approximation; arbitrary vector modes; direct computation; explicit algorithm; finite-difference discretization; least squares Prony method; mode-solving scheme; modified imaginary distance beam propagation method; propagation constants; propagation direction; three-dimensional optical waveguides; transverse plane; Eigenvalues and eigenfunctions; Equations; Finite difference methods; Least squares approximation; Nonhomogeneous media; Optical computing; Optical fibers; Optical propagation; Optical waveguides; Propagation constant;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.2003.809568

Filename

1197955