Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations

Abstract

In the paper, an even-odd cycled high-order splitting finite difference time domain scheme for Maxwell's equations in two dimensions is developed. The scheme uses fourth order spatial difference operators and even-odd time step technique to make it more accurate in both space and time. The scheme is energy-conserved, unconditionally stable and efficient in computation. We analyze in detail the stability, dispersion and phase error for the scheme. We prove that the scheme is energy conservative. Numerical experiments show numerically the energy conservation, high accuracy, and the divergence free accuracy. Furthermore, the developed scheme is applied to compute of the grounded coplanar waveguides.