scholarly journals The electromagnetic scattering problem with generalized impedance boundary conditions

2016 ◽  
Vol 50 (3) ◽  
pp. 905-920
Author(s):  
Nicolas Chaulet
Keyword(s):  
Boundary Conditions ◽  
Electromagnetic Scattering ◽  
Scattering Problem ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions ◽  
Generalized 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.

GENERALIZED IMPEDANCE BOUNDARY CONDITIONS FOR SCATTERING BY STRONGLY ABSORBING OBSTACLES: THE SCALAR CASE

2005 ◽  
Vol 15 (08) ◽  
pp. 1273-1300 ◽  
Author(s):  
HOUSSEM HADDAR ◽  
PATRICK JOLY ◽  
HOAI-MINH NGUYEN
Keyword(s):  
Boundary Conditions ◽  
Error Estimates ◽  
Scattering Problem ◽  
Scalar Case ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions ◽  
Asymptotic Development ◽  
Generalized Impedance Boundary Conditions

We derive different classes of generalized impedance boundary conditions for the scattering problem from strongly absorbing obstacles. Compared to existing works, our construction is based on an asymptotic development of the solution with respect to the medium absorption. Error estimates are derived to validate the accuracy of each condition.

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