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Z Transform and FDTD Method in Unmagnetized Plasma

Received: 7 October 2016    Accepted: 28 October 2016    Published: 16 November 2016
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Abstract

The Z transform is typically used in digital filtering and signal processing problems. The paper illustrates the use of the Z transform in implementing the FDTD method where it is useful to avoid dealing with convolution integral in the time domain by going immediately to Z domain. This work study the pulse propagation in free space that comes upon a plasma. Plasma is very interesting medium and the results illustrated that at low frequencies, it looks like a metal, and higher frequency, it become transparent just like a dielectric medium.

Published in American Journal of Electromagnetics and Applications (Volume 4, Issue 1)
DOI 10.11648/j.ajea.20160401.12
Page(s) 8-13
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Z Transform, Finite Difference Time Domain, Unmagnified Plasma

References
[1] K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media", IBEE. Antennas Propagate., Vol. AP-14, 1966, pp. 302-307.
[2] R. J. Luebbers, F. P. Hunsberger, K. S. Kunz, R. B. Standler and M. Schneider, "A fiequencydependent finite-difference time-domain formulation for dispersive materials", hms. Electromagn. Compat., Vol. EMC-32, 1990, pp. 222-227.
[3] R. J. Luebbers and F. P. Hupsberger, "FDTD for Nth-Order Dispersive Media", IEEE. Antennas Propagat., Vol. AP-40, 1992, pp. 1297-1301.
[4] K. S. Kunz and R. J. Luebbers, "The Finite Diflemnce Time Domain Method for E2 ectromagnetics", CRC Press, Boca Raton, 1993.
[5] R. Luebbers, D. Steich and K. Kunz, "FDTD calculation of scattering from frequencydependent materials", IEEE I%zns. Antennas., Vol. AP-41, 1993, pp. 1249-1257.
[6] T. Kashiwa and I. FuM, "A treatment of the dispersive characteristics associated with electronic polarization", Microwave Opt. Techno 2. Lett., Vol. 3, No. 6, 1990, p. 203.
[7] R. Joseph, S. Hagness and A. Taflove, "Direct time integration of Maxwell’s equations in linear dispersive media with absorption for sattering ad propagation of ferntosecond -tromagnetic pulses", Opt. Lett., Vol. 16, no. 18, 1991, p. 1412.
[8] D. M. Sullivan, "A Frequency-Dependent FDTD Method for Biological Applications", IEEE tins. Microwave Thw~ Tech., Vol. 40, 1992, pp. 532-539.
[9] Yoshiharu Omura,"One-dimensional Electromagnetic Particle Code: KEMPO", Advanced Methods for Space Simulations, 2007, pp. 1–21.
[10] Huang Shou-jiang, "A Finite-Difference Time-Domain Analysis of Electromagnetic Propagation in Magnetized Plasmas", Chinese Journal of Computation Physics. ISSN: 1001-2005, p. 246.
[11] Ming Yan,"Z-Transform-Based FDTD Analysis of Perfectly Conducting Cylinder Covered With Unmagnetized Plasma", Journals of Magnetics, IEEE Transactions. Vol. 43, Issue: 6, 2007, P. 2968 -2970.
Cite This Article
  • APA Style

    Khitam Y. Elwasife, Amal Y. Albatniji. (2016). Z Transform and FDTD Method in Unmagnetized Plasma. American Journal of Electromagnetics and Applications, 4(1), 8-13. https://doi.org/10.11648/j.ajea.20160401.12

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    ACS Style

    Khitam Y. Elwasife; Amal Y. Albatniji. Z Transform and FDTD Method in Unmagnetized Plasma. Am. J. Electromagn. Appl. 2016, 4(1), 8-13. doi: 10.11648/j.ajea.20160401.12

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    AMA Style

    Khitam Y. Elwasife, Amal Y. Albatniji. Z Transform and FDTD Method in Unmagnetized Plasma. Am J Electromagn Appl. 2016;4(1):8-13. doi: 10.11648/j.ajea.20160401.12

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  • @article{10.11648/j.ajea.20160401.12,
      author = {Khitam Y. Elwasife and Amal Y. Albatniji},
      title = {Z Transform and FDTD Method in Unmagnetized Plasma},
      journal = {American Journal of Electromagnetics and Applications},
      volume = {4},
      number = {1},
      pages = {8-13},
      doi = {10.11648/j.ajea.20160401.12},
      url = {https://doi.org/10.11648/j.ajea.20160401.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20160401.12},
      abstract = {The Z transform is typically used in digital filtering and signal processing problems. The paper illustrates the use of the Z transform in implementing the FDTD method where it is useful to avoid dealing with convolution integral in the time domain by going immediately to Z domain. This work study the pulse propagation in free space that comes upon a plasma. Plasma is very interesting medium and the results illustrated that at low frequencies, it looks like a metal, and higher frequency, it become transparent just like a dielectric medium.},
     year = {2016}
    }
    

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    T1  - Z Transform and FDTD Method in Unmagnetized Plasma
    AU  - Khitam Y. Elwasife
    AU  - Amal Y. Albatniji
    Y1  - 2016/11/16
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    N1  - https://doi.org/10.11648/j.ajea.20160401.12
    DO  - 10.11648/j.ajea.20160401.12
    T2  - American Journal of Electromagnetics and Applications
    JF  - American Journal of Electromagnetics and Applications
    JO  - American Journal of Electromagnetics and Applications
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    EP  - 13
    PB  - Science Publishing Group
    SN  - 2376-5984
    UR  - https://doi.org/10.11648/j.ajea.20160401.12
    AB  - The Z transform is typically used in digital filtering and signal processing problems. The paper illustrates the use of the Z transform in implementing the FDTD method where it is useful to avoid dealing with convolution integral in the time domain by going immediately to Z domain. This work study the pulse propagation in free space that comes upon a plasma. Plasma is very interesting medium and the results illustrated that at low frequencies, it looks like a metal, and higher frequency, it become transparent just like a dielectric medium.
    VL  - 4
    IS  - 1
    ER  - 

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Author Information
  • Physics Department, Islamic University of Gaza, Gaza, Palestinian Authority

  • Physics Department, Islamic University of Gaza, Gaza, Palestinian Authority

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