A new variational formulation with high order impedance boundary condition for the scattering problem in electromagnetism

In this paper, we propose some variational formulations with the use of high order impedance boundary condition (HOIBC) to solve the scattering problem. We study the existence and uniqueness of the solution. Then, a discretization of these formulations is done. We give validations of the HOIBC obtained with a MoM code that show the improvement in accuracy over the standard impedance boundary condition (SIBC) computations.

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