volume | PIER Journals

Abstract

For the time-harmonic solution of Maxwell's equations, absorbing boundary conditions (ABCs) are widely used to approximate the Silver-Muller radiation condition at infinity on the boundary Γ terminating the computational domain. An original high-order ABC (HOABC) is proposed that links the tangential components of the electric and magnetic fields on Γ via surface differential operators multiplied by coefficients. These coefficients are determined so as to minimize the reflection of a propagative or evanescent wave incident on a planar or spherical Γ - while taking its radius into account - and guarantee a well-posed Maxwell's problem. Numerical results are presented on a plane and coated spheres that demonstrate its efficiency even when evanescent waves are present. If it is implemented in a finite element formulation its numerical complexity is expected to be low.

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Dr. Bruno Stupfel