High order FDTD methods for transverse magnetic modes with dispersive interfaces

Duc Duy Nguyen, Shan Zhao

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


A new finite-difference time-domain (FDTD) algorithm is introduced to solve two dimensional (2D) transverse magnetic (TM) modes with a straight dispersive interface. Driven by the consideration of simplifying interface jump conditions, the auxiliary differential equation of the Debye constitution model is rewritten to form a new Debye-Maxwell TM system. Interface auxiliary differential equations are utilized to describe the transient changes in the regularities of electromagnetic fields across a dispersive interface. The resulting time dependent jump conditions are rigorously enforced in the FDTD discretization by means of a matched interface and boundary scheme. Higher order convergences are numerically achieved for the first time in the literature in 2D FDTD simulations of dispersive inhomogeneous media.

Original languageEnglish
Pages (from-to)699-707
Number of pages9
JournalApplied Mathematics and Computation
StatePublished - 2014

Bibliographical note

Funding Information:
This work is supported in part by the NSF Grants DMS-1016579 and DMS-1318898 .


  • Auxiliary differential equation
  • Debye dispersive medium
  • Finite-difference time-domain (FDTD)
  • High order interface treatments
  • Matched interface and boundary (MIB)
  • Maxwell's equations

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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