On the Accuracy of the ADI-FDTD Method

被引：184

作者：

Gonzalez Garcia, Salvador ^{[1
]}

Lee, Tae-Woo ^{[2
]}

Hagness, Susan C. ^{[2
]}

机构：

[1] Univ Granada, Fac Ciencias, Dept Electromagnetismo & Fis Materia, E-18071 Granada, Spain

[2] Univ Wisconsin, Dept Elect & Comp Engn, Madison, WI 53706 USA

来源：

IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS | 2002年 / 1卷

关键词：

Alternating-direction implicit (ADI) methods; finite-difference time-domain (FDTD) methods; numerical stability;

D O I：

10.1109/LAWP.2002.802583

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：

We present an analytical study of the alternating-direction implicit finite-difference time-domain (ADI-FDTD) method for solving the time-varying Maxwell's equations and compare its accuracy with that of the Crank-Nicolson (CN) and Yee FDTD schemes. The closed form of the truncation error is obtained for two and three dimensions. The dependence of the truncation error on the square of the time step multiplied by the spatial derivatives of the fields is found to be a unique feature of the ADI-FDTD scheme. We illustrate the limitation on accuracy imposed by these truncation error terms by simulating a simple parallel-plate structure excited by a low-frequency voltage source. Excellent agreement is obtained between field data computed with the implicit CN scheme using time steps greatly exceeding the Courant limit and field data computed with the explicit Yee scheme. Such results are not obtained with ADI-FDTD.

引用

页码：31 / 34

页数：4

共 50 条

[21] On Numerical Artifacts of the Complex Envelope ADI-FDTD Method
Jung, Kyung-Young
Teixeira, Fernando L.
Garcia, Salvador G.
Lee, Robert
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2009, 57 (02) : 491 - 498
[22] Development of a higher-order ADI-FDTD method
Wang, Z
Chen, J
Chen, YC
MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2003, 37 (01) : 8 - 12
[23] An Improved Quadratic Interpolation ABC for ADI-FDTD Method
Zhao, Jianing
Zhou, Jianyi
APMC: 2009 ASIA PACIFIC MICROWAVE CONFERENCE, VOLS 1-5, 2009, : 60 - +
[24] Radial Perfectly Matched Layer for the ADI-FDTD Method
Zheng, Hong-Xing
Leung, Kwok Wa
IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, 2009, 19 (07) : 425 - 427
[25] Application of the measured equation of invariance in the ADI-FDTD method
Pazoki, Reza
2005 ASIA-PACIFIC MICROWAVE CONFERENCE PROCEEDINGS, VOLS 1-5, 2005, : 1780 - 1783
[26] Conformal method to eliminate the ADI-FDTD staircasing errors
Chai, Mei
Xiao, Tian
Liu, Qing Huo
IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, 2006, 48 (02) : 273 - 281
[27] On the dispersion relation of ADI-FDTD
Garcia, Salvador G.
Rubio, R. Godoy
Bretones, A. Rubio
Martin, R. Gomez
IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, 2006, 16 (06) : 354 - 356
[28] An efficient method to reduce the numerical dispersion in the ADI-FDTD
Zheng, HX
Leung, KW
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2005, 53 (07) : 2295 - 2301
[29] ADI-FDTD method including linear lumped networks
Fu, W.
Tan, E. L.
ELECTRONICS LETTERS, 2006, 42 (13) : 728 - 729
[30] Simulation of RF inductor by the modified ADI-FDTD method
Hwang, Jiunn-Nan
Chen, Fu-Chiarng
2007 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM, VOLS 1-12, 2007, : 2146 - 2149

← 1 2 3 4 5 →