High order surface impedance boundary conditions for the FDTD method

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 sh own that implementation of the high order SIBC does not cause new computati onal difficulties as compared to the well-known Leontovich's impedance boun dary conditions.