Implementation of ADE-CFS-PML for the Single Field WCS-FDTD Method

In this letter, the auxiliary differential equation (ADE) form of the complex-frequency-shifted perfectly matched layer (CFS-PML) is implemented for the single field (SF) weakly conditionally stable (WCS) finite difference time domain (FDTD) method. The magnetic field terms in the auxiliary variables of ADE-CFS-PML are eliminated, conforming to the SF formulation. The reflection error and stability of the proposed method is verified with numerical examples. Results show that the proposed method is stable and features low reflection error when the maximum time step is chosen for the SF-WCS-FDTD method. The higher multithread computation efficiency of the proposed method is also demonstrated.