A New Formulation for Scattering by Impedant 3D Bodies

Abstract

International audienceA 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

Boundary-Integral Methods for Iterative Solution of Scattering Problems With Variable Impedance Surface Condition

“…The derivations of some of these equations can be found for example in [7]. In particular, there exists a efficient method using the two currents as unknowns and in which the impedance condition is imposed in a implicit way [9,7,25]. In what follows, BGLF will denote this method.…”

“…• We take l h (u ) = (A 1/β cfie M h , u ) and Θ h l h corresponds to an approximation of the unknown X in (25). Then, we simply compute the product Γ Θ h l h · J dΓ to obtain the discrete equivalent to (n × A 1/β cfie M h , J ).…”

Equation Solution for the Current in Radial Impedance Monopole on the Perfectly Conducting Sphere

“…However, because of complexity of realization of such modeling these questions are not described very well in the literary sources [1][2][3][4]. What is more, even in these rare papers the simple models (such as electrically short dipoles) are considered as radiators despite that a rather developed theoretical basis exists for the analysis of impedance vibrators [5][6][7][8][9][10][11][12][13][14].…”

The Efficient Analysis of Electromagnetic Scattering From Composite Structures Using Hybrid Cfie-Iefie

“…The radar cross section (RCS) for a target is of great importance in the area of electromagnetic scattering [1][2][3][4][5][6][7][8][9][10]. The present study aims to develop an efficient algorithm to analyze the composite-geometry problems involving both open and closed conducting surfaces.…”