An FE-EBC Method for Electromagnetic Scattering from Inhomogeneous Objects

Abstract: In this paper, we present a finite-element-extended boundary condition (FE-EBC) method for an efficient calculation of the electromagnetic wave scattering from inhomogeneous magneto-dielectric objects. To this end, we apply the hierarchical Legendre polynomial basis functions on large curved inhomogeneous hexahedral elements and propose an efficient numerical algorithm for a fast computation of the finite-element matrix entries in the presence of the material and Jacobian inhomogeneities. Also, we present a multiple-harmonic expansion on the surface boundary to represent the surface magnetic field accurately. The accuracy, efficiency and convergence of the method are studied through some numerical examples.