2nd-Order Accurate FDTD Equations at Magnetic Media Interfaces

In this paper, second-order accurate FDTD equations are given in a systematic and straightforward manner through the discretization of the integral forms of Maxwell´s curl equations on the non-uniform Yee´s lattice and Taylor series extending of continuous field components in the grids with different permeabilities. It is shown that the proper tangential and normal effective permeabilities must be chosen on a non-uniform Yee´s lattice available in order to obtain the second-order accurate FDTD equations at the magnetic media interface. The numerical results show that the proposed FDTD equations are more accurate than the conventional FDTD equations.