A simple and accurate methodology to optimize parameter-dependent finite-difference time-domain schemes

Anastasios H. Panaretos, Rodolfo Diaz

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

A two-stage simple and accurate methodology is presented for the dispersion error minimization of parameter-dependent finite-difference time-domain schemes over a useful bandwidth. The methodology is rigorously developed for both 2-D and 3-D schemes. First, the anisotropy error is treated by expanding the spatial part of the numerical dispersion relation in a cosine-Fourier series, and eliminating the contribution of the angle-dependent terms. The dispersion error is then corrected by employing a modified single-frequency accurate temporal finite-difference operator. This modification can be translated into the parameters of the updating equations, which greatly simplifies its programming. The theoretically derived results are further supported by numerical experiments.

Original languageEnglish (US)
Article number4488212
Pages (from-to)1125-1136
Number of pages12
JournalIEEE Transactions on Microwave Theory and Techniques
Volume56
Issue number5
DOIs
StatePublished - May 1 2008

Keywords

  • Anisotropy
  • Dispersion
  • Extended curl
  • Finite-difference time-domain (FDTD) method
  • Group velocity
  • Microwave filter
  • Phase velocity
  • Waveguide

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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