Optical and Quantum Electronics

, Volume 36, Issue 1–3, pp 271–284

Truncation rules for modelling discontinuities with Galerkin method in electromagnetic theory

Article

Abstract

It is well known that apparently similar discretization schemes of Maxwell's equations in Fourier series may provide very different convergence performances because of truncation. We argue that this work performed in grating theory can be applied to other electromagnetic theories relying on expansions over series different from Fourier series. This generalization is supported by an intuitive argument and by a simple numerical example with Hermite–Gauss functions.

electromagnetic theory Galerkin method grating theory Hermite–Gauss functions 

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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  1. 1.Laboratoire Charles Fabry de l'Institut d'Optique, Centre National de la Recherche ScientifiqueUniversité Paris Sud Bât. 503Orsay CedexFrance

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