A Modified High Order FDTD Method Based on Wave Equation

A modified (2M, 4) scheme of the high-order two-dimensional finite-difference time-domain (FDTD) method based on wave equation is proposed. It has the fourth-order accuracy in the time domain using the symplectic integrator propagator, and the 2M-order accuracy in the space domain using the discrete singular convolution method. The distinctive features between the modified scheme and the traditional (2M, 4) FDTD based on Yee algorithm are listed as follows. First, the modified scheme is based on the wave equation. Second, the computational region is discretized by uniform mesh rather than the Yee mesh. Third, the modified scheme costs less memory than the Yee algorithm because fewer field elements are involved in computation. Numerical examples are provided to validate its accuracy and effectiveness