title: High-order FDTD methods for transverse electromagnetic systems in dispersive inhomogeneous media.
abstract: This Letter introduces a novel finite-difference time-domain (FDTD) formulation for solving transverse electromagnetic systems in dispersive media. Based on the auxiliary differential equation approach, the Debye dispersion model is coupled with Maxwell's equations to derive a supplementary ordinary differential equation for describing the regularity changes in electromagnetic fields at the dispersive interface. The resulting time-dependent jump conditions are rigorously enforced in the FDTD discretization by means of the matched interface and boundary scheme. High-order convergences are numerically achieved for the first time in the literature in the FDTD simulations of dispersive inhomogeneous media.
authors.affiliation: Department of Mathematics, University of Alabama, Tuscaloosa, Alabama 35487, USA. szhao@bama.ua.edu
authors.forename: Shan
authors.initials: S
authors.lastname: Zhao