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hal-00003820, version 1

Semi classical measures and Maxwell's system

Hassan Taha () 1

Résumé : We are interested in the homogenization of energy like quantities for electromagnetic waves in the high frequency limit for Maxwell's equations with various boundary conditions. We use a scaled variant of H-measures known as semi classical measures or Wigner measures. Firstly, we consider this system in the half space of $\R^3$ in the time harmonic and with conductor boundary condition at the flat boundary $x_3=0$. Secondly we consider the same system but with Calderon boundary condition. Thirdly, we consider this system in the curved interface case.

  • 1 :  Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
  • Université d'Orléans – CNRS : UMR7349
  • Domaine : Mathématiques/Equations aux dérivées partielles
  • Mots-clés : Electromagnetism – homogenization of energy – Maxwell's system – Pseudo differential theory – semi classical measures – perfect boundary condition – Calderon boundary condition – curved interface.
  • Commentaire : 07/01/2005
 
  • hal-00003820, version 1
  • oai:hal.archives-ouvertes.fr:hal-00003820
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  • Soumis le : Dimanche 9 Janvier 2005, 14:13:02
  • Dernière modification le : Dimanche 9 Janvier 2005, 22:17:37