Numerical Dispersion Analysis for Single Field HIE-FDTD method with Artificial Anisotropic Parameters

Abstract

In this letter, a low numerical dispersion error single field (SF) hybrid implicit explicit (HIE) finite-difference time-domain (FDTD) method with artificial anisotropic (AA) parameters, AA-SF-HIE-FDTD for short, is proposed. Based on the formulas of the SF-HIE-FDTD method and by introducing the electric artificial anisotropy parameters, the updated functions for 3-D AA-SF-HIE FDTD can be obtained. The numerical dispersion relation of the AA-SF-HIE-FDTD by Fourier method is investigated. Compared with the conventional SF-HIE-FDTD method, it is found that AA parameters can improve numerical dispersion relation for SF-HIE-FDTD method.