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Simple finite-difference algorithm for calculating waveguide modes

Identifieur interne : 00D796 ( Main/Exploration ); précédent : 00D795; suivant : 00D797

Simple finite-difference algorithm for calculating waveguide modes

Auteurs : D. R. Heatley [France] ; G. Vitrant [France] ; A. Kevorkian [France]

Source :

RBID : Pascal:94-0316773

Descripteurs français

English descriptors

Abstract

A simple algorithm for solving the finite-difference (FD) equations for the mode eigenvalues and field distributions of a linear waveguide is presented. By applying the discretized Helmholtz operator column-by-column to an index distribution defined on an NxN grid, a matrix whose size is only a few times NxN is obtained. This yields a reduction in computation time and space compared with the other classical FD approaches which involve an N2xN2 matrix.Our method is tested against problems for which the exact solutions are known, and we find a high degree of accurary.


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Le document en format XML

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<div type="abstract" xml:lang="en">A simple algorithm for solving the finite-difference (FD) equations for the mode eigenvalues and field distributions of a linear waveguide is presented. By applying the discretized Helmholtz operator column-by-column to an index distribution defined on an NxN grid, a matrix whose size is only a few times NxN is obtained. This yields a reduction in computation time and space compared with the other classical FD approaches which involve an N
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