Title :
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
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;
Conference_Titel :
Microwave Integrated Circuit Conference, 2007. EuMIC 2007. European
Conference_Location :
Munich
Print_ISBN :
978-2-87487-002-6
DOI :
10.1109/EMICC.2007.4412781
