A Simple Approximation Formula for Numerical Dispersion Error in 2-D and 3-D FDTD Method

• SONODA Jun

  Department of Intelligent and Electronic Systems, National Institute of Technology, Sendai College

• KAINO Keimei

  Department of Information Systems, National Institute of Technology, Sendai College

• SATO Motoyuki

  Center for Northeast Asian Studies, Tohoku University

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 higher-order 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.

Journal

• IEICE Transactions on Electronics

  IEICE Transactions on Electronics E99.C (7), 793-796, 2016

  The Institute of Electronics, Information and Communication Engineers

Keywords

• FDTD method
• numerical dispersion error
• simple formula
• dispersion relation equation
• large scale analysis

Details

• CRID: 1390001204377521408
• NII Article ID: 130005160301
• DOI: 10.1587/transele.e99.c.793
• ISSN: 17451353
• ISSN: 09168524
• Web Site: https://www.jstage.jst.go.jp/article/transele/E99.C/7/E99.C_793/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed