A Convolutional Perfectly Matched Layer (CPML) for the Fourth-Order One-Step Leapfrog HIE-FDTD Method

A new convolutional perfectly matched layer (CPML) for the fourth-order one-step leapfrog hybrid implicit explicit finite-difference time-domain (HIEFDTD) method for the TE case has been proposed in this paper. When the time step size satisfies with the time stability condition, the maximum reflection error of the proposed method is below -72dB, which demonstrates good absorbing performance of the CPML method. To verify the accuracy and efficiency of the proposed method, we compare the results of the traditional FDTD method and the HIE-FDTD method. Numerical examples demonstrate that the proposed method consumes about 60.13% less CPU time than the traditional FDTD method and 41.60% less CPU time than the existing HIE-FDTD method.