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 publicationEuropean Microwave Week 2007 Conference Proceedings, EuMW 2007 - 2nd European Microwave Integrated Circuits Conference, EuMIC 2007
Pages587-590
Number of pages4
DOIs
StatePublished - 1 Dec 2007
EventEuropean Microwave Week 2007, EuMW 2007 - 2nd European Microwave Integrated Circuits Conference, EuMIC 2007 - Munich, Germany
Duration: 8 Oct 200712 Oct 2007

Publication series

NameEuropean Microwave Week 2007 Conference Proceedings, EuMW 2007 - 2nd European Microwave Integrated Circuits Conference, EuMIC 2007

Conference

ConferenceEuropean Microwave Week 2007, EuMW 2007 - 2nd European Microwave Integrated Circuits Conference, EuMIC 2007
CountryGermany
CityMunich
Period8/10/0712/10/07

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