摘要

The rigorous second-order accurate finite-difference time-domain (FDTD) equations at magnetic media interfaces are straightforwardly derived through the discretization of the integral forms of Maxwell's curl equations on the nonuniform Yee's lattice and Taylor series extending of continuous field components over finite volumes including the interfaces. It is shown that in order to obtain second-order accuracy, we not only require to construct proper effective magnetic permeabilities in the grids containing the magnetic media interfaces, but also choose nonuniform Yee's grids available in the vicinity of the interface. Numerical results in a cavity partially filled in magnetic media demonstrate the accuracy of proposed FDTD equations.