Perfectly matched layer media with CFS for an unconditionally stable ADI-FDTD method

被引：120
作者：
Gedney, SD [1 ]
Liu, G
Roden, JA
Zhu, AM
机构：
[1] Univ Kentucky, Dept Elect Engn, Lexington, KY 40506 USA
[2] IBM Corp, Microelect Div, Res Triangle Pk, NC 27709 USA
来源：
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2001年 / 49卷 / 11期
基金：
美国国家科学基金会;
关键词：
alternating direction implicit (ADI) method; FDTD method; perfectly matched layer (PML);
D O I：
10.1109/8.964091
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A perfectly matched layer (PML) medium with complex frequency shifted constitutive parameters is introduced for the three-dimensional alternating direction implicit (ADI) formulation of the finite-difference time-domain (FDTD) method. The absorbing boundary is implemented using the convolutional PML (CPML) approach. It is demonstrated that the resulting ADI-CPML scheme is unconditionally stable. The effectiveness of the absorbing medium as a function of the time step is also demonstrated. The proposed method has the advantage that it allows the application of the ADI method to low-frequency analysis.
引用
收藏
页码：1554 / 1559
页数：6
相关论文
共 20 条
[11]   Frequency dependence of the constitutive parameters of causal perfectly matched anisotropic absorbers [J].
Kuzuoglu, M ;
Mittra, R .
IEEE MICROWAVE AND GUIDED WAVE LETTERS, 1996, 6 (12) :447-449
[12]   Perfectly matched layer media for an unconditionally stable three-dimensional ADI-FDTD method [J].
Liu, G ;
Gedney, SD .
IEEE MICROWAVE AND GUIDED WAVE LETTERS, 2000, 10 (07) :261-263
[13]   FDTD FOR NTH-ORDER DISPERSIVE MEDIA [J].
LUEBBERS, RJ ;
HUNSBERGER, F .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1992, 40 (11) :1297-1301
[14]  
MITCHELL A, 1980, FINITE DIFFERENCE ME
[15]   3-D ADI-FDTD method - Unconditionally stable time-domain algorithm for solving full vector Maxwell's equations [J].
Namiki, T .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2000, 48 (10) :1743-1748
[16]   THE NUMERICAL SOLUTION OF PARABOLIC AND ELLIPTIC DIFFERENTIAL EQUATIONS [J].
PEACEMAN, DW ;
RACHFORD, HH .
JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1955, 3 (01) :28-41
[17]  
Roden JA, 2000, MICROW OPT TECHN LET, V27, P334, DOI 10.1002/1098-2760(20001205)27:5<334::AID-MOP14>3.0.CO
[18]  
2-A
[19]  
Taflove A., 1995, COMPUTATIONAL ELECTR
[20]   Toward the development of a three-dimensional unconditionally stable finite-difference time-domain method [J].
Zheng, FH ;
Chen, ZZ ;
Zhang, JZ .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2000, 48 (09) :1550-1558
12