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A high order locally corrected Nyström implementation of the Decoupled Potential Integral Equation

Abstract:

In this paper we present a numerical implementation of the Decoupled Potential Integral Equation (DPIE) based on a high order locally corrected Nyström method. The DPIE formulation allows to describing the scattering electromagnetic field by a perfect electric conductor in a decoupled way. The scattered scalar potential φscat is obtained entirely from the incoming scalar potential φin, and the scattered vector potential Ascat is computed from the incoming vector potential Ain. This formulation is exact for any frequency ω ≥ 0. The time harmonic scattered potentials are obtained in the Lorenz gauge, this allows us to compute the scattered electric and magnetic fields Escat, Hscat.