Revised finite-difference time-domain algorithm in a nonorthogonal coordinate system and its application to the computation of the band structure of a photonic crystal

摘要

A discretization grid and its associated time-stepping formulas for a finite-difference time-domain method in a nonorthogonal coordinate system are introduced to simulate electromagnetic wave propagation and scattering. The method is applied to compute the band structure of a photonic crystal with a skew lattice. Unlike the conventional finite-difference time-domain method in a nonorthogonal coordinate system, the present method can treat discontinuities in the material parameters appropriately and thus does not have any problem of numerical instability. (C) 2002 American Institute of Physics. References: 23