A Novel Marching-on-in-Degree Solver of Time Domain Parabolic Equation for Transient EM Scattering Analysis

A novel marching-on-in-degree (MOD) solver of 3-D time domain parabolic equation is proposed to solve the transient electromagnetic scattering from electrically large perfect electric conductor (PEC) targets. The finite difference (FD) scheme is applied to the spatial discretization, while the weighted Laguerre polynomials are used as the temporal basis functions. In this way, a large number of computational resources can be saved by using the FD scheme along the paraxial direction and the late-time stability can be guaranteed by the MOD method. Both the FD schemes of Crank-Nicolson and the alternating direction implicit types are discussed in this communication. Numerical results are given to demonstrate the accuracy and efficiency of the proposed method.