Generalised impedance boundary conditions for EM scattering problems

1988 ◽  
Vol 24 (17) ◽  
pp. 1093 ◽  
Author(s):  
R.G. Rojas
Keyword(s):  
Boundary Conditions ◽  
Em Scattering ◽  
Scattering Problems ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions

scholarly journals GENERALIZED IMPEDANCE BOUNDARY CONDITIONS FOR SCATTERING PROBLEMS FROM STRONGLY ABSORBING OBSTACLES: THE CASE OF MAXWELL'S EQUATIONS

2008 ◽  
Vol 18 (10) ◽  
pp. 1787-1827 ◽  
Author(s):  
HOUSSEM HADDAR ◽  
PATRICK JOLY ◽  
HOAI-MINH NGUYEN
Keyword(s):  
Asymptotic Expansion ◽  
Boundary Conditions ◽  
Electromagnetic Scattering ◽  
Skin Depth ◽  
Perfect Conductor ◽  
Third Order ◽  
Scattering Problems ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions ◽  
Generalized Impedance Boundary Conditions

This paper is dedicated to the construction and analysis of so-called Generalized Impedance Boundary Conditions (GIBCs) for electromagnetic scattering problems from imperfect conductors with smooth boundaries. These boundary conditions can be seen 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.

scholarly journals Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions

1997 ◽  
Vol 20 (2) ◽  
pp. 397-402 ◽  
Author(s):  
E. M. E. Zayed
Keyword(s):  
Riemannian Manifold ◽  
Boundary Conditions ◽  
Finite Number ◽  
Spectral Function ◽  
Compact Riemannian Manifold ◽  
Smooth Boundary ◽  
Beltrami Operator ◽  
Smooth Functions ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions

The spectral functionΘ(t)=∑i=1∞exp(−tλj), where{λj}j=1∞are the eigenvalues of the negative Laplace-Beltrami operator−Δ, is studied for a compact Riemannian manifoldΩof dimension “k” with a smooth boundary∂Ω, where a finite number of piecewise impedance boundary conditions(∂∂ni+γi)u=0on the parts∂Ωi(i=1,…,m)of the boundary∂Ωcan be considered, such that∂Ω=∪i=1m∂Ωi, andγi(i=1,…,m)are assumed to be smooth functions which are not strictly positive.

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