A New Formulation for Scattering by Impedant 3D Bodies

Abstract : A new integral equation formulation is introduced for solving, in the frequency domain, the problem of electromagnetic scattering by an impedant (IBC) or perfect electric/magnetic (PEC/PMC) 3D body of arbitrary shape. It is based firstly, on a special application of the equivalence principle [2] where the 0-field exterior domain is filled with another impedant medium and, secondly, on the widely used PMCHW (Poggio, Miller, Chang, Harrington and Wu) formulation which forces field continuity through the scatterer surface [3]. Unlike other IBC formulations such as [4], this one also applies to PEC/PMC. Furthermore, in this last case, it appears to stabilize the numerical scheme in the vicinity of eigen frequencies. We will provide proofs and conditions of the wellposedness of the problem for impedant as well as for PEC/PMC bodies.
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Bruno Collard, M'Barek Fares, Bernard Souny. A New Formulation for Scattering by Impedant 3D Bodies. Journal of Electromagnetic Waves and Applications, Taylor & Francis, 2006, 20 (10), pp 1291-1298. ⟨10.1163/156939306779276785⟩. ⟨hal-01068378⟩

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