Construction and analysis of approximate models for electromagnetic scattering from imperfectly conducting scatterers - Inria - Institut national de recherche en sciences et technologies du numérique
Rapport (Rapport De Recherche) Année : 2007

Construction and analysis of approximate models for electromagnetic scattering from imperfectly conducting scatterers

Résumé

This report is dedicated to the construction and analysis of so-called Generalized Impedance Boundary Conditions (GIBCs) used in electromagnetic scattering problems from imperfect conductors as higher order approximations of a perfect conductor condition. We consider here the 3-D case with Maxwell equations in a harmonic regime. The construction of GIBCs is based on a scaled asymptotic expansion with respect to the skin depth. The asymptotic expansion is theoretically justified at any order and we give explicit expressions till the third order. These expressions are used to derive the GIBCs. The associated boundary value problem is analyzed and error estimates are obtained in terms of the skin depth.
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Dates et versions

inria-00174345 , version 1 (24-09-2007)
inria-00174345 , version 2 (25-09-2007)
inria-00174345 , version 3 (07-01-2008)
inria-00174345 , version 4 (11-01-2008)

Identifiants

  • HAL Id : inria-00174345 , version 4
  • ARXIV : 0709.3736

Citer

Houssem Haddar, Patrick Joly, Hoai Minh Nguyen. Construction and analysis of approximate models for electromagnetic scattering from imperfectly conducting scatterers. [Research Report] RR-6302, INRIA. 2007, pp.62. ⟨inria-00174345v4⟩
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