Sufficient uniqueness conditions for the solution of the time harmonic Maxwell’s equations associated with surface impedance boundary conditions
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- 作者：Bruno Stupfel ; a ; bruno.stupfel@cea.fr"" rel=""nofollow ; stupfel.catherine@bbox.fr"" rel=""nofollow ; Dorcas Pogeta
- 关键词：Maxwell’ ; s equations ; Impedance boundary conditions ; Uniqueness conditions ; Frequency selective surface
- 刊名：Journal of Computational Physics
- 出版年：2011
- 出版时间：1 June 2011
- 年：2011
- 卷：230
- 期：12
- 页码：4571-4587
- 全文大小：657 K
文摘
We consider the time-harmonic Maxwell’s equations for the scattering or radiating problem from a 3-D object that is either a metallic surface coated with material layers (MCS) or a dichroic structure (DS) made up of multiple frequency selective surfaces (FSS) embedded in materials. Low or high order impedance boundary conditions (IBC) are employed to reduce the numerical complexity of the solution of this problem via an integral equation or a finite element formulation. An IBC links the tangential components of the electric field to those of the magnetic field on the outer surface of the MCS, or on the FSSs, and avoids the solution of Maxwell’s equations inside the inhomogeneous domain for a MCS or, for a DS, the meshing of the numerous unit cells in a FSS. Sufficient uniqueness conditions (SUC) are established for the solutions of Maxwell’s equations associated with these IBCs, the performances of which, when constrained by the corresponding SUCs, are numerically evaluated for an infinite or finite planar structure.