A Novel Efficient WLP-Based BOR FDTD Method With Explicit Treating Ideology

Abstract

In this paper, we proposed a novel efficient weighted Laguerre polynomial (WLP)-based finite-difference time-domain (FDTD) method with explicit treating ideology, which is extremely useful for problems with very fine structures in the body of revolution (BOR) system. By combining the explicit treating ideology and WLP technology, the limitation of time step $\Delta \text{t}$ is effectively eliminated, which results in greatly improved performance. The performing idea of the proposed method can be roughly divided into two parts. First, the conventional WLP-based BOR FDTD method is flexibly transformed into a new one with certain direction explicit calculation by matrix transformation. Second, the initial value calculation and iteration calculation which are based on the different perturbation term are introduced to improve the convergence speed, the efficiency and accuracy of the proposed method. Meanwhile, the proofing results show that the convergence condition of the proposed method is relaxed. The stability analysis shows that the stability condition is determined by the smaller one of the spatial increments $\Delta \rho $ and $\Delta \text{z}$ . Finally, two scattering numerical examples are given to demonstrate the computational accuracy and efficiency of the proposed method.