A new energy-conserved S-FDTD scheme for Maxwell's equations in metamaterials

Wanshan Li, Dong Liang, Yanping Lin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

19 Citations (Scopus)

Abstract

In this paper, we develop a new energy-conserved S-FDTD scheme for the Maxwell's equations in metamaterials. We first derive out the new property of energy conservation of the governing equations in metamaterials, and then propose the energy-conserved S-FDTD scheme for solving the problems based on the staggered grids. We prove that the proposed scheme is energy-conserved in the discrete form and unconditionally stable. Based on the energy method, we further prove that the scheme for the Maxwell's equations in metamaterials is first order in time and second order in space. Numerical experiments are carried out to confirm the energy conservation and the convergence rates of the scheme. Moreover, numerical examples are also taken to show the propagation features of electromagnetic waves in the DNG metamaterials.
Original languageEnglish
Pages (from-to)775-794
Number of pages20
JournalInternational Journal of Numerical Analysis and Modeling
Volume10
Issue number4
Publication statusPublished - 15 Nov 2013

Keywords

  • Convergence
  • Energy-conserved
  • FDTD
  • Maxwell's equations
  • Metamaterials
  • Splitting

ASJC Scopus subject areas

  • Numerical Analysis

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