Development of the Three-Dimensional Unconditionally Stable LOD-FDTD Method

被引:111
作者
Ahmed, Iftikhar [1 ]
Chua, Eng-Kee [1 ]
Li, Er-Ping [1 ]
Chen, Zhizhang [2 ]
机构
[1] Inst High Performance Comp, Electromagnet Syst Dept, Singapore 117528, Singapore
[2] Dalhousie Univ, Dept Elect & Comp Engn, Halifax, NS B3J 1Z1, Canada
关键词
Alternating direction implicit finite-difference time-domain (ADI-FDTD); Courant Friedrich Levy (CFL) limit; FDTD; locally-one-dimensional finite-difference time-domain (LOD-FDTD); unconditionally stable;
D O I
10.1109/TAP.2008.2005544
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 three-dimensional unconditionally-stable locally-one-dimensional finite-difference time-domain (LOD-FDTD) method is proposed and is proved unconditionally stable analytically. In it, the number of equations to be computed is the same as that with the conventional three-dimensional alternating direction implicit FDTD (ADI-FDTD) but with reduced arithmetic operations. The reduction in arithmetic operations leads to approximately 20% less computational time in comparisons with the ADI-FDTD method.
引用
收藏
页码:3596 / 3600
页数:5
相关论文
共 17 条
[1]   Error reduced ADI-FDTD methods [J].
Ahmed, I ;
Chen, ZZ .
IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, 2005, 4 :323-325
[2]   Convolutional perfectly matched layer for an unconditionally stable LOD-FDTD method [J].
Ahmed, Iftikhar ;
Li, Erping ;
Krohne, Klaus .
IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, 2007, 17 (12) :816-818
[3]   Split-field PML implementations for the unconditionally stable LOD-FDTD method [J].
do Nascimento, Valtemir E. ;
Borges, Ben-Hur V. ;
Teixeira, Fernando L. .
IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, 2006, 16 (07) :398-400
[4]   Compact higher-order split-step FDTD method [J].
Fu, W ;
Tan, EL .
ELECTRONICS LETTERS, 2005, 41 (07) :397-399
[5]   MRTD: New time-domain schemes based on multiresolution analysis [J].
Krumpholz, M ;
Katehi, LPB .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1996, 44 (04) :555-571
[6]   A split step approach for the 3-D Maxwell's equations [J].
Lee, JW ;
Fornberg, B .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 158 (02) :485-505
[7]  
Liu QH, 1997, MICROW OPT TECHN LET, V15, P158, DOI 10.1002/(SICI)1098-2760(19970620)15:3<158::AID-MOP11>3.0.CO
[8]  
2-3
[9]   A new FDTD algorithm based on alternating-direction implicit method [J].
Namiki, T .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1999, 47 (10) :2003-2007
[10]  
Ramadan O., 2007, ELECTRON LETT, V43, P17