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Semi-analytical recursive convolution algorithm in the finite-difference time domain analysis of anisotropic dispersive medium

Wang Fei Wei Bing

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Semi-analytical recursive convolution algorithm in the finite-difference time domain analysis of anisotropic dispersive medium

Wang Fei, Wei Bing
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  • The polarizability tensor of magnetized plasma in frequency domain in laboratory coordinate system is gained by using the transfer matrix between the principal and the laboratory system, and then its exponential function form in time domain is derived by inverse Fourier transform. Combined with the semi-analytical recursive convolution (SARC) algorithm in digital signal process techniques, the SARC-finite-difference time-domain method applied to magnetized plasma subjected to an arbitrary direction of external dc magnetic field is derived. The co-polarized and cross-polarized backward radar scattering cross-section for a magnetized plasma sphere are obtained by the presented algorithm. The computed results indicate the correctness and feasibility of the method.
    • Funds: Project Project supported by the National High Technology Research and Development Program of China (Grant No. 2012AA01A308) and the Basic Science Research Fund in Xidian University, China (Grant No. K50511070007).
    [1]

    Luebbers R J, Hunsberger F, Kunz K S 1991 IEEE Trans. Antennas Propagat. 39 29

    [2]

    Kelley D F, Lubbers R J 1996 IEEE Trans. Antennas Propagat. 44 792

    [3]

    Chen Q, Katsurai M, Aoyagi P H 1998 IEEE Trans. Antennas Propagat. 46 1739

    [4]

    Liu S B, Mo J J, Yuan N C 2004 Acta Phys. Sin. 53 778 (in Chinese) [刘少斌,莫锦军,袁乃昌 2004 物理学报 53 778]

    [5]

    Xu L J, Yuan N C 2005 IEEE Microw. Wireless Compon. Lett. 15 277

    [6]

    Nickisch L J, Franke P M 1992 IEEE Antennas Propagat. Mag. 34 33

    [7]

    Takayama Y, Klaus W 1994 IEEE Microw. Wireless Compon. Lett. 12 102

    [8]

    Sullivan D M 1992 IEEE Trans. Antennas Propagat. 40 1223

    [9]

    Sullivan D M 1995 IEEE Trans. Antennas Propagat. 43 676

    [10]

    Sullivan D M 1996 IEEE Trans. Antennas Propagat. 44 28

    [11]

    Ge D B, Wu Y L, Zhu X Q 2003 Chin. J. Radio Sci. 18 359 (in Chinese) [葛德彪, 吴跃丽, 朱湘琴 2003 电波科学学报 18 359]

    [12]

    Zhang Y Q, Ge D B 2009 Acta Phys. Sin. 58 4573 (in Chinese) [张玉强,葛德彪 2009 物理学报 58 4573]

    [13]

    Hunsberger F, Lubbers R J, Kunz K S 1992 IEEE Trans. Antennas Propagat. 40 1489

    [14]

    Young L J 1994 Radio Sci. 29 1513

    [15]

    Liu S B, Mo J J, Yuan N C 2004 Acta Phys. Sin. 53 783 (in Chinese) [刘少斌, 莫锦军, 袁乃昌 2004 物理学报 53 783]

    [16]

    Liu S B, Mo J J, Yuan N C 2004 IEEE Microw. Wireless Compon. Lett. 14 222

    [17]

    Liu S B, Mo J J, Yuan N C 2004 Acta Phys. Sin. 53 2233 (in Chinese) [刘少斌, 莫锦军, 袁乃昌 2004 物理学报 53 2233]

    [18]

    Yang L X, Ge D B, Wei B 2007 Acta Phys. Sin. 56 4509 (in Chinese) [杨利霞, 葛德彪, 魏 兵 2007 物理学报 56 4509]

    [19]

    Janke W, Blakiewicz G 1995 IEE Proc. Circuits Dev. Syst. 142 125

    [20]

    Pietrenko W, Janke W, Kazimierczuk M K 2001 IEEE Trans. Circuits Syst. 48 1246

    [21]

    Ge D B , Yan Y B 2011 Finite-Difference Time-Domain Method for Electromagnetic Waves (3th Ed.) (Xi’an: Xidian University Press) p259 (in Chinese) [葛德彪, 闫玉波 2005 电磁波时域有限差分法(第三版) (西安: 西安电子科技大学出版社) 第259 页]

    [22]

    Bi D X 1985 Electromagnetic Field Theory (Beijing: Publishing House of Electronics Industry) p434 (in Chinese) [毕德显 1985 电磁场理论 (北京: 电子工业出版社) 第434 页]

    [23]

    Kong J A 2002 Electromagnetic Wave Theory (Beijing: Higher Education Press) p333

  • [1]

    Luebbers R J, Hunsberger F, Kunz K S 1991 IEEE Trans. Antennas Propagat. 39 29

    [2]

    Kelley D F, Lubbers R J 1996 IEEE Trans. Antennas Propagat. 44 792

    [3]

    Chen Q, Katsurai M, Aoyagi P H 1998 IEEE Trans. Antennas Propagat. 46 1739

    [4]

    Liu S B, Mo J J, Yuan N C 2004 Acta Phys. Sin. 53 778 (in Chinese) [刘少斌,莫锦军,袁乃昌 2004 物理学报 53 778]

    [5]

    Xu L J, Yuan N C 2005 IEEE Microw. Wireless Compon. Lett. 15 277

    [6]

    Nickisch L J, Franke P M 1992 IEEE Antennas Propagat. Mag. 34 33

    [7]

    Takayama Y, Klaus W 1994 IEEE Microw. Wireless Compon. Lett. 12 102

    [8]

    Sullivan D M 1992 IEEE Trans. Antennas Propagat. 40 1223

    [9]

    Sullivan D M 1995 IEEE Trans. Antennas Propagat. 43 676

    [10]

    Sullivan D M 1996 IEEE Trans. Antennas Propagat. 44 28

    [11]

    Ge D B, Wu Y L, Zhu X Q 2003 Chin. J. Radio Sci. 18 359 (in Chinese) [葛德彪, 吴跃丽, 朱湘琴 2003 电波科学学报 18 359]

    [12]

    Zhang Y Q, Ge D B 2009 Acta Phys. Sin. 58 4573 (in Chinese) [张玉强,葛德彪 2009 物理学报 58 4573]

    [13]

    Hunsberger F, Lubbers R J, Kunz K S 1992 IEEE Trans. Antennas Propagat. 40 1489

    [14]

    Young L J 1994 Radio Sci. 29 1513

    [15]

    Liu S B, Mo J J, Yuan N C 2004 Acta Phys. Sin. 53 783 (in Chinese) [刘少斌, 莫锦军, 袁乃昌 2004 物理学报 53 783]

    [16]

    Liu S B, Mo J J, Yuan N C 2004 IEEE Microw. Wireless Compon. Lett. 14 222

    [17]

    Liu S B, Mo J J, Yuan N C 2004 Acta Phys. Sin. 53 2233 (in Chinese) [刘少斌, 莫锦军, 袁乃昌 2004 物理学报 53 2233]

    [18]

    Yang L X, Ge D B, Wei B 2007 Acta Phys. Sin. 56 4509 (in Chinese) [杨利霞, 葛德彪, 魏 兵 2007 物理学报 56 4509]

    [19]

    Janke W, Blakiewicz G 1995 IEE Proc. Circuits Dev. Syst. 142 125

    [20]

    Pietrenko W, Janke W, Kazimierczuk M K 2001 IEEE Trans. Circuits Syst. 48 1246

    [21]

    Ge D B , Yan Y B 2011 Finite-Difference Time-Domain Method for Electromagnetic Waves (3th Ed.) (Xi’an: Xidian University Press) p259 (in Chinese) [葛德彪, 闫玉波 2005 电磁波时域有限差分法(第三版) (西安: 西安电子科技大学出版社) 第259 页]

    [22]

    Bi D X 1985 Electromagnetic Field Theory (Beijing: Publishing House of Electronics Industry) p434 (in Chinese) [毕德显 1985 电磁场理论 (北京: 电子工业出版社) 第434 页]

    [23]

    Kong J A 2002 Electromagnetic Wave Theory (Beijing: Higher Education Press) p333

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Publishing process
  • Received Date:  08 July 2012
  • Accepted Date:  26 September 2012
  • Published Online:  05 February 2013

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