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.
© 2011 Optical Society of America
Original Manuscript: June 8, 2011
Manuscript Accepted: July 18, 2011
Published: August 15, 2011
Shan Zhao, "High-order FDTD methods for transverse electromagnetic systems in dispersive inhomogeneous media," Opt. Lett. 36, 3245-3247 (2011)