A new high order dispersive FDTD method for Drude material with complex interfaces

Duc Duy Nguyen, Shan Zhao

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


In this paper, motivated by the needs of tracking the transient change in the regularity of the electromagnetic fields across a Drude interface, we propose a new Maxwell-Drude formulation for transverse magnetic problems with inhomogeneous Drude dispersive materials. Based on the auxiliary differential equation approach, the proposed formulation couples the wave equation for the electric component with Maxwell's equations for the magnetic components. A new finite-difference time-domain (FDTD) algorithm is introduced for solving the proposed Maxwell-Drude system, in which the time dependent jump conditions across the Drude interface are enforced through the matched interface and boundary (MIB) method. The proposed FDTD method achieves a second order of accuracy in solving Drude interfaces with fluctuating curvatures and non-smooth corners based on a simple Yee lattice, while it can be generalized to up to sixth order in dealing with a straight Drude interface. Therefore, the proposed FDTD method is more accurate and cost-efficient than the classical FDTD methods for Drude material with complex interfaces.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalJournal of Computational and Applied Mathematics
StatePublished - Sep 2015

Bibliographical note

Funding Information:
This work was supported in part by National Science Foundation (NSF) grants DMS-1016579 and DMS-1318898 , and the University of Alabama Research Stimulation Program (RSP) award.

Publisher Copyright:
© 2015 Elsevier B.V. All rights reserved.


  • Drude dispersive material
  • Finite-difference time-domain (FDTD)
  • High order interface treatments
  • Matched interface and boundary (MIB)
  • Maxwells equations
  • Transverse magnetic (TM) modes

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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