A multiscale approach for solving maxwell's equations in waveguides with conical inclusions

Franck Assous, Patrick Ciarlet

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper is devoted to the numerical solution of the instationary Maxwell equations in waveguides with metallic conical inclusions on its internal boundary. These conical protuberances are geometrical singularities that generate in their neighborhood, strong electromagnetic fields. Using some recent theoretical and practical results on curl-free singular fields, we have built a method which allows to compute the instationary electromagnetic field. It is based on a splitting of the spaces of solutions into a regular part and a singular one. The singular part is computed with the help of a multiscale representation, written in the vicinity of the geometrical singularities. As an illustration, numerical results in a rectangular waveguide are shown.

Original languageEnglish
Title of host publicationComputational Science - ICCS 2008 - 8th International Conference, Proceedings
Pages331-340
Number of pages10
EditionPART 2
DOIs
StatePublished - 2008
Event8th International Conference on Computational Science, ICCS 2008 - Krakow, Poland
Duration: 23 Jun 200825 Jun 2008

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 2
Volume5102 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference8th International Conference on Computational Science, ICCS 2008
Country/TerritoryPoland
CityKrakow
Period23/06/0825/06/08

Keywords

  • Conical inclusions
  • Maxwell equations
  • Multiscale approach
  • Waveguides

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