Tuesday, June 2

CM5
Effective Boundary Conditions and Their Numerical Treatment for the Solution of Electromagnetic Scattering by Thin Coatings

10:15 AM-12:15 PM
Room 244

Direct solution procedures for the scattering of an electromagnetic wave by a perfect conductor endowed with a thin coating leads to a problem of a huge size. Moreover, a thin coating generally leads to a numerical locking resulting in a wrong solution. To circumvent these difficulties, the approach of incorporating the thin effect through an effective boundary condition in an approximate way has revealed itself to be an efficient solution procedure. The derivation of these effective boundary conditions is now well understood for coatings made up from linear and homogeneous materials. The situation is less clear for rapidly varying coatings or for nonlinear materials. Sufficiently accurate effective boundary conditions are expressed by second order tangential differential operators and as a result, their numerical treatment is not trivial. The speakers in this minisymposium will give an account of some recent results in these directions.

10:15 A Numerical Study of a Scattering Problem Involving a Generalized Impedance Boundary Condition Using the On-Surface Radiation Condition Method

Xavier Antoine and H. Barucq, Universite de Pau et des Pays de l'Adour, France

10:15 An Asymptotic Approach of the Scattering of Electromagnetic Waves by Thin Ferromagnetic Coatings

Houssem Haddar and Patrick Joly, INRIA-Rocquencourt, France

10:45 Approximate Boundary Conditions for Thin Periodic Coatings

Habib Ammari, Organizer; Chiraz Latiri-Grouz, CMAP, Ecole Polytechnique, France

11:45 Boundary Element Solution of a Scattering Problem Involving a Generalized Impedance Boundary Condition

Abderrahmane Bendali, Organizer; and Laurent Vernhet, CNRS, Universite de Pau et des Pays de l'Adour, France

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