A simple approximation formula for numerical dispersion error in 2-D and 3-D FDTD method

Jun Sonoda, Keimei Kaino, Motoyuki Sato

Research output: Contribution to journalArticlepeer-review

Abstract

The finite-difference time-domain (FDTD) method has been widely used in recent years to analyze the propagation and scattering of electromagnetic waves. Because the FDTD method has second-order accuracy in space, its numerical dispersion error arises from truncated higherorder terms of the Taylor expansion. This error increases with the propagation distance in cases of large-scale analysis. The numerical dispersion error is expressed by a dispersion relation equation. It is difficult to solve this nonlinear equation which have many parameters. Consequently, a simple formula is necessary to substitute for the dispersion relation error. In this study, we have obtained a simple formula for the numerical dispersion error of 2-D and 3-D FDTD method in free space propagation.

Original languageEnglish
Pages (from-to)793-796
Number of pages4
JournalIEICE Transactions on Electronics
VolumeE99C
Issue number7
DOIs
Publication statusPublished - 2016 Jul

Keywords

  • Dispersion relation equation
  • FDTD method
  • Large scale analysis
  • Numerical dispersion error
  • Simple formula

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

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