Analysis of stability and numerical dispersion relation of mur's absorbing boundary condition in the ADI-FDTD method

Jiunn Nan Hwang*, Fu-Chiarng Chen

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, the stability analysis of the Mur's first order absorbing boundary condition (ABC) in the alternating direction implicit finite-difference time-domain (ADI-FDTD) method is presented. To analysis the stability of this scheme, the amplification matrix is derived. The effect of wave propagation direction on the stability of this scheme is investigated. The numerical dispersion relation of this scheme is also derived analytically from the amplification matrix. From the theoretical stability analysis and numerical simulation, it is found that the Mur's first order ABC in the ADI-FDTD method will be unstable.

Original languageEnglish
Title of host publicationProceedings of the 37th European Microwave Conference, EUMC
Pages1385-1388
Number of pages4
DOIs
StatePublished - 1 Dec 2007
Event37th European Microwave Conference, EUMC - Munich, Germany
Duration: 9 Oct 200712 Oct 2007

Publication series

NameProceedings of the 37th European Microwave Conference, EUMC

Conference

Conference37th European Microwave Conference, EUMC
CountryGermany
CityMunich
Period9/10/0712/10/07

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