Low numerical dispersion two-dimensional (2,4) ADI-FDTD method

M. K. Sun, Wai Yip Tam

Research output: Journal article publicationJournal articleAcademic researchpeer-review

6 Citations (Scopus)


The numerical dispersion of the alternating direction implicit finite-difference time-domain (ADI-FDTD) method can be improved by approximating the spatial derivatives using the four-point centered finite-difference formula. However, the improvement is not significant when the time step size increases. In this paper, we develop a low numerical dispersion 2-D (2,4) ADI-FDTD method, by which the finite-difference operators are determined by minimizing the error terms in the numerical dispersion relation. The numerical dispersion error shown to be significantly reduced for any time-step size. In addition, there is an alternative method that results in zero numerical dispersion errors at a specified propagation angle. The numerical dispersion relation of the proposed method is investigated theoritically and compared with standards ADI-FDTD method as well as with the conventional FDTD method.
Original languageEnglish
Pages (from-to)1041-1044
Number of pages4
JournalIEEE Transactions on Antennas and Propagation
Issue number3
Publication statusPublished - 1 Mar 2006


  • Altenating direction implicit finite-difference time-domain (ADI-FDTD)
  • High-order
  • Numerical dispersion

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Networks and Communications


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