Domain Decomposition CN-FDTD with Unsplit-Field PML for Time-Reversed Channel Analysis

Abstract

In this paper, an efficient domain decomposition (DD) technique is introduced into the implicit Crank-Nicolson finite-difference time-domain (CN-FDTD) method to analyze the channel characteristics of time reversal (TR) waves. As an unconditionally stable time-marching method, DD-CN-FDTD is suitable to solve the multiscale problem involving special microstructures in a sub-wavelength array. The standard unsplit-field perfectly matched layer, which is implemented with auxiliary differential equations, is derived here to truncate the computational domain of a multipath indoor environment. Furthermore, each sub-matrix is preconditioned by the reverse Cuthill-Mckee scheme for easier lower-upper decomposition. Numerical results of TR wave propagation demonstrate the performance of the proposed method.