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交替隐式时域有限差分分析有耗介质电磁波传播

张玉廷, 蔡智, 刘胜

张玉廷, 蔡智, 刘胜. 交替隐式时域有限差分分析有耗介质电磁波传播[J]. 电波科学学报, 2011, 26(6): 1088-1094.
引用格式: 张玉廷, 蔡智, 刘胜. 交替隐式时域有限差分分析有耗介质电磁波传播[J]. 电波科学学报, 2011, 26(6): 1088-1094.
ZHANG Yu-ting, CAI Zhi, LIU Sheng. Electromagnetic wave propagation in loss media based on ADI-FDTD[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2011, 26(6): 1088-1094.
Reference format: ZHANG Yu-ting, CAI Zhi, LIU Sheng. Electromagnetic wave propagation in loss media based on ADI-FDTD[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2011, 26(6): 1088-1094.

交替隐式时域有限差分分析有耗介质电磁波传播

详细信息
    作者简介:

    张玉廷(1984-),男,山东人,工程师,博士,主要从事计算电磁学和电磁兼容性等方面的研究;蔡智(1985-),女,辽宁人,硕士,主要从事新能源材料学和知识产权等方面的研究;刘胜(1957-),男,吉林人,教授,博士,主要从事船舶运动与控制、电磁兼容性和复杂性科学等方面的研究。

    通信作者:

    张玉廷 E-mail:zhangyutinghl@163.com

  • 中图分类号: TN011

Electromagnetic wave propagation in loss media based on ADI-FDTD

  • 摘要: 针对电磁波在有耗介质中的传播特点,提出了改进的交替方向隐式时域有限差分(ADI-FDTD)算法来研究电磁波在有耗介质中的传播特性。改进后的算法可改善传统ADI-FDTD为提高计算效率导致的计算精度下降的缺点。证明了算法的无条件稳定性,并分析了算法的数值色散。通过算例对比验证了算法的有效性和对计算精度的改善。将算法应用到金属球体在空气中、地面上方和海平面上方的电磁散射分析中,仿真结果表明:介质损耗在一定程度增大电磁散射的同时,会加大电磁散射的震荡。
    Abstract: Aiming at the propagation characteristics of electromagnetic waves in loss media, a modified alternative direction implicit finite difference time domain (ADI-FDTD) method is proposed to solve the problem. The modified method can improve the disadvantage of the traditional ADI-FDTD method, which improves the computational effeciency on the cost of accuracy. The unconditional stability of the algorithm is proved, while the numerical dispersion is also analyzed. The algorithm is validated effectively, and it could also improve computational accuracy, which has been proved by examples comparison. The algorithm is applied to analyze the scattering of a metal sphere in air, on the bottom of ground and sea. The simulation shows that the amplitude and oscillation of the scattering increase in the loss media.
  • 唐涛, 廖成, 杨丹. FDTD求解高功率微波大气传播问题的可行性研究[J]. 电波科学学报, 2010, 25(1):122-126. TANG Tao, LIAO Cheng, YANG Dan. Feasibility of solving high-power microwave propagation in the atmosphere using FDTD method[J]. Chinese Journal of Radio Science, 2010, 25(1):122-126. (in Chinese)
    高本庆, 薛正辉, 任武. FDTD计算中关于低频激励源问题的研讨[J]. 电波科学学报, 2009, 24(2):213-217. GAO Benqing, XUE Zhenghui, REN Wu. Study on low frequency exciting source in FDTD simulation[J]. Chinese Journal of Radio Science, 2009, 24(2):213-217. (in Chinese)
    ZHENG H X, LEUNG K W. A nonorthogonal ADI-FDTD algorithm for solving two dimensional scattering problems[J]. IEEE Trans. on Antennas and Propagation, 2009, 57(12):3891-3902.
    汤炜, 闫玉波, 李清亮, 等. 一种新时域交替隐式差分算法在散射问题中的应用[J]. 物理学报, 2004, 53(12):4173-4180. TANG Wei, YAN Yubo, LI Qingliang, et al. A new ADI-FDTD analysis in electromagnetic scattering[J]. Acta Physica Sinica, 2004, 53(12):4173-4180. (in Chinese)
    TAN E L, HEH D Y. ADI-FDTD method with fourth order accuracy in time[J]. IEEE Microwave and Wireless Components letters, 2008, 18(5):296-298.
    王长清, 祝西里, 陈国华, 等. Maxwell方程用于电磁脉冲在有耗介质中的传播问题[J]. 电波科学学报, 1999, 14(1):97-101. WANG Changqin, ZHU Xili, CHEN Guohua, et al. Probe into the suitability of the Maxwell equations for the propagation of the electromagnetic pulse wave in the lossy media[J]. Chinese Journal of Radio Science, 1999, 14(1):97-101. (in Chinese)
    王长清, 祝西里, 丁柱, 等. 磁偶极子激励的脉冲电磁波在有耗介质中的传播[J]. 微波学报, 1998, 14(2):142-146. WANG Changqin, ZHU Xili, DING Zhu, et al. Propagation of the electromagnetic pulse wave excited by the magnetic dipole in the lossy media[J]. Journal of Microwaves, 1998, 14(2):142-146. (in Chinese)
    李庆伟, 曹俊兴, 杜兴忠. 有耗介质中电磁波传播的时域有限差分法[J]. 勘探地球物理进展, 2007, 30(3):185-189. LI Qingwei, CAO Junxing, DU Xingzhong. FDTD method for propagation of electromagnetic wave in lossy media[J]. Progress in Exploration Geophysics, 2007, 30(3):185-189. (in Chinese)
    JUNG K Y, TEIXEIRA F L, LEE R. Complex envelop PML-ADI-FDTD method for lossy anisotropic dielectrics[J]. IEEE Antennas and Wireless Propagation Letters, 2007,(6):643-646.
    PERADA J A, GRANDE A, GONZALEZ O, et al. Analysis of two alternative ADI-FDTD formulations for transverse-electric waves in lossy materials[J]. IEEE Trans. on Antennas and Propagation, 2009, 57(7):2047-2054.
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    ROUF H K, COSTEN F, GARCIA S G. Reduction of numerical errors in frequency dependent ADI-FDTD[J]. Electronics Letters, 2010, 46(7):489-490.
    EDELVIK F, SCHUHMANN R, WEILAND T. A general stability analysis of FIT/FDTD applied to lossy dielectrics and lumped elements[J]. Journal of Numerical Modelling:Electronics Network, Devices and Fields, 2004, 17(4):407-419.
    FU W M, TAN E L. Stability and dispersion analysis for ADI-FDTD method in lossy media[J]. IEEE Trans. on Antennas and Propagation, 2007, 55(4):1095-1102.
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  • 被引次数: 0
出版历程
  • 收稿日期:  2011-01-16
  • 网络出版日期:  2020-12-30
  • 发布日期:  2011-12-30

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