Finite difference time domain dispersion reduction schemes

Bezalel Finkelstein, Raphael Kastner

Research output: Contribution to journalArticlepeer-review

Abstract

The finite-difference-time-domain (FDTD), although recognized as a flexible, robust and simple to implement method for solving complex electromagnetic problems, is subject to numerical dispersion errors. In addition to the traditional ways for reducing dispersion, i.e., increasing sampling rate and using higher order degrees of accuracy, a number of schemes have been proposed recently. In this work, an unified methodology for deriving new difference schemes is presented. It is based on certain modifications of the characteristic equation that accompanies any given discretized version of the wave equation. The method is duly compared with existing schemes and verified numerically.

Original languageEnglish
Pages (from-to)422-438
Number of pages17
JournalJournal of Computational Physics
Volume221
Issue number1
DOIs
StatePublished - 20 Jan 2007

Keywords

  • Electromagnetics
  • Finite difference time domain
  • Numerical dispersion error reduction
  • Numerical methods
  • Wave equation

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