A three-dimensional finite-difference time-domain scheme based on a transversely extended-curl operator

Anastasios H. Panaretos, James Aberle, Rodolfo Diaz

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

In this paper, a three-dimensional finite-difference time-domain (FDTD) scheme is presented with improved isotropy characteristics and higher Courant number than the standard Yee scheme. The basic idea is to transversely extend the curl operator in order to improve the transverse Laplacian representation of the curl-curl operator. A stability analysis is performed, and the dispersion characteristics of the proposed scheme are investigated. It is shown that the latter is significantly more isotropic than the regular FDTD scheme. Additionally, it is proved that under certain conditions a unity Courant number can be achieved, and the resulting scheme is characterized by dispersion characteristics complementary to those of the regular FDTD scheme. Numerical simulations are performed that validate the theoretically derived results.

Original languageEnglish (US)
Pages (from-to)4237-4246
Number of pages10
JournalIEEE Transactions on Microwave Theory and Techniques
Volume54
Issue number12
DOIs
StatePublished - Dec 1 2006

Keywords

  • Curl operator
  • Finite-difference time-domain (FDTD) method
  • Laplacian operator

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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