Title :
A Rigorous Stability Analysis of Instability in ADI-FDTD Method with PML Absorber
Author :
Hwang, Jiunn-Nan ; Chen, Fu-Chiarng
Author_Institution :
Dept. of Commun. Eng., Nat. Chiao Tung Univ., Hsinchu
Abstract :
In this paper, a rigorous stability analysis for the alternating direction implicit (ADI) formulation of the finite-difference time-domain (FDTD) method with perfectly matched layer (PML) absorber is presented. The inhomogeneous PML medium is considered in the stability analysis. In this work, it is found that the ADI-FDTD method with PML will be instable in the PML interface and inside the PML regions. Both theoretical and numerical results are demonstrated to show the instability of this scheme
Keywords :
absorbing media; electromagnetic wave propagation; finite difference time-domain analysis; matrix algebra; numerical stability; ADI-FDTD method; alternating direction implicit formulation; finite-difference time-domain method; instability; perfectly matched layer absorber; stability analysis; Boundary conditions; Conductivity; Eigenvalues and eigenfunctions; Equations; Finite difference methods; Perfectly matched layers; Polynomials; Reflection; Stability analysis; Time domain analysis;
Conference_Titel :
Antennas and Propagation Society International Symposium 2006, IEEE
Conference_Location :
Albuquerque, NM
Print_ISBN :
1-4244-0123-2
DOI :
10.1109/APS.2006.1710900
