Analysis of stability and numerical dispersion relation of mur&amp;#x0027;s absorbing boundary condition in the ADI-FDTD method

Jiunn-Nan Hwang Jiunn-Nan Hwang,Fu-Chiarng Chen Fu-Chiarng Chen

doi:10.1109/emicc.2007.4412781

Analysis of stability and numerical dispersion relation of mur&#x0027;s absorbing boundary condition in the ADI-FDTD method

Jiunn-Nan Hwang Jiunn-Nan Hwang, Fu-Chiarng Chen Fu-Chiarng Chen

https://doi.org/10.1109/emicc.2007.4412781

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Publication Date: Jan 1, 2007

Citations: 13

Affiliation: National Yang Ming Chiao Tung University

#Alternating Direction Implicit Finite-difference Time-domain Method #Alternating Direction Implicit Finite-difference Time-domain + Show 8 more

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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.

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