Numerical Dispersion Reduction Scheme for Arbitrary Order FDTD Method

Abstract

In this paper, we present a new approach to reduce the numerical dispersion error of the arbitrary order finite-difference time-domain (FDTD) method in the desired high frequency region. By interpolation of numerical dispersion relation in one-dimensional (1D) and two-dimensional (2D) cases, the numerical disperion error can be significantly reduced for a specific bandwidth especially in the case of high frequency. Two numerical experiments are presented to validate the accuracy of the proposed method.