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

Author

Hwang, Jiunn-Nan ; Chen, Fu-Chiarng

Author_Institution

Nat. Chiao Tung Univ., Hsinchu

fYear

2007

fDate

8-10 Oct. 2007

Firstpage

587

Lastpage

590

Abstract

In this paper, the stability analysis of the Mur´s first order absorbing boundary condition (ABQ 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.

Keywords

circuit theory; finite difference time-domain analysis; numerical stability; wave propagation; ADI-FDTD Method; absorbing boundary condition; alternating direction implicit finite-difference time-domain; amplification matrix; numerical dispersion relation; stability analysis; wave propagation; Boundary conditions; Circuit simulation; Circuit stability; Dispersion; Finite difference methods; Microwave theory and techniques; Numerical simulation; Numerical stability; Stability analysis; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Integrated Circuit Conference, 2007. EuMIC 2007. European

Conference_Location

Munich

Print_ISBN

978-2-87487-002-6

Type

conf

DOI

10.1109/EMICC.2007.4412781

Filename

4412781