Reflection Coefficient of the Isotropic-Dispersion Finite-Difference Time-Domain (ID-FDTD) Method at Planar Dielectric Interfaces

摘要

This paper presents an analytical formulation of the numerical reflection coefficient of the ID-FDTD algorithm at planar dielectric boundaries for a TE wave incidence. The formulation is numerically verified. 1. INTRODUCTION The standard FDTD method (the Yee scheme) undergoes "numerical dispersion" that makes waves at different phase velocities, which prevents the Yee method from applied to large scale or phase-sensitive problems. Hence, several schemes have been proposed to rectify the numerical dispersion problem, one of which is the isotropic dispersion FDTD (ID-FDTD) scheme to drastically reduce the dispersion [1]. However, at the material interface, the behavior of the ID-FDTD scheme is not clearly characterized. Hence, this paper analytically obtains the numerical reflection coefficient of the ID-FDTD scheme for a TE polarized wave.