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

Author

Jiunn-Nan Hwang ; Fu-Chiarng Chen

Author_Institution

Nat. Chiao Tung Univ., Hsinchu

fYear

2007

fDate

9-12 Oct. 2007

Firstpage

1385

Lastpage

1388

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.

Keywords

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

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Conference, 2007. European

Conference_Location

Munich

Print_ISBN

978-2-87487-001-9

Type

conf

DOI

10.1109/EUMC.2007.4405462

Filename

4405462