An explicit fourth-order staggered finite-difference time-domain method for Maxwell's equations

  • Authors:

  • Zhongqiang Xie;Chi-Hou Chan;Bo Zhang

  • Affiliations:

  • School of Mathematical and Information Sciences, Coventry University, Coventry CV1 5FB, UK;Department of Electronic Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China;School of Mathematical and Information Sciences, Coventry University, Coventry CV1 5FB, UK and Department of Electronic Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Ko ...

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2002

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Abstract

A new explicit fourth-order accurate staggered finite-difference time-domain (FDTD) scheme is proposed and applied to electromagnetic wave problems. It is fourth-order accurate in both space and time, conditionally stable, and highly efficient (with respect to Yee's scheme) and still retains much of the original simplicity of Yee's scheme. Both extension to perfectly matched layers and modification to deal with dielectric interfaces and perfectly conducting boundaries of the scheme have also been presented. Numerical examples are shown to illustrate the efficiency of the method.