Efficient WLP-FDTD With Complex Frequency-Shifted PML for Super-Resolution Analysis

Abstract

In this letter, an improved domain decomposition (DD) finite-difference time-domain (FDTD) method based on the weighted Laguerre polynomials (WLPs) is proposed to simulate far-field super-resolution focusing of time reversal (TR) waves. The unconditionally stable WLP-FDTD method is very suitable for solving this multiscale problem involving special microstructures in a subwavelength array. The derived higher order perfectly matched layer with auxiliary differential equations can be placed very close to walls, and thus the simulation area can be reduced accordingly. Moreover, the reverse Cuthill–Mckee scheme for matrix bandwidth compression is employed to improve the efficiency of DD-WLP-FDTD. A numerical example of TR wave propagation is included to validate the accuracy and efficiency of the improved method.