High Order Surface Impedance Boundary Conditions for the FDTD Method

Abstract

Abstract—Surface impedance boundary conditions (SIBC) of high order of approximation are implemented for 2-D FDTD formulation. The original FDTD equations for the boundary cell are represented in the series of equations similar in the left hand side. This approach takes into account the curvature of the body surface and tangential variation of the fields along the surface. It is shown that implementation of the high order SIBC does not cause new computational difficulties as compared to the well-known Leontovich’s impedance boundary conditions. Index Terms—FDTD, numerical methods, perturbation techniques, scattering, surface impedance boundary conditions. I

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