3D optimised hybrid implicit–explicit FDTD method with suppressed numerical dispersion

Abstract

A 3D optimised hybrid implicit–explicit finite-difference time-domain (HIE-FDTD) method aimed at suppressing the numerical dispersion is proposed. Compared with the original HIE-FDTD method, the optimised parameters are introduced without costing any additional computational resource. In addition, the proposed algorithm sacrifices Courant–Friedrichs–Lewy condition and just requires a modest amount of reprogramming. The update equations of the proposed HIE-FDTD method are given and numerical results demonstrate that the proposed method performs better in the numerical dispersion.