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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2013-05-11
One-Step Leapfrog Adi-FDTD Method for Lossy Media and Its Stability Analysis
By
Jian-Yun Gao,

    Dr. Jian-Yun Gao

    Department of Basic Courses

    Tianjin Vocational Institute

    China

    Homepage

Hong-Xing Zheng

    Prof. Hong-Xing Zheng

    School of Electronics Engineering

    Tianjin University of Technology and Education

    P. R. China

    Homepage

Progress In Electromagnetics Research Letters, Vol. 40, 49-60, 2013
doi:10.2528/PIERL12110213 | Google Scholar

Abstract
A one-step leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method for lossy media is presented. Different from the method provided by others, the proposed method is originated from the conventional ADI-FDTD method instead of considering the leapfrog ADI-FDTD method as a perturbation of the conventional explicit FDTD method. Its unconditional stability is analytically proven through a method that combines the von Neumann method with the Jury criterion. In addition, its unconditional stability and computational efficiency are verified through numerical experiments.
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Citation
Jian-Yun Gao, and Hong-Xing Zheng, "One-Step Leapfrog Adi-FDTD Method for Lossy Media and Its Stability Analysis," Progress In Electromagnetics Research Letters, Vol. 40, 49-60, 2013.
doi:10.2528/PIERL12110213
References

1. Taflove, A. and S. C. Hagness, Computational Electrodynamics: The Finite-difference Time-domain Method, 3rd Ed., Artech House, 2005.

2. Namiki, T., "A new FDTD algorithm based on alternating-direction implicit method," IEEE Trans. Microw. Theory Tech., Vol. 47, No. 10, 2003-2007, Oct. 1999.        Google Scholar

3. Zheng, F., Z. Chen, and J. Zhang, "Toward the development of a three dimensional unconditionally stable finite-different time-domain method," IEEE Trans. Microwave Theory Tech., Vol. 48, No. 9, 1550-1558, Sep. 2000.        Google Scholar

4. Cooke, S. J., M. Botton, T. M. Antonsen, and B. Levush, "A leapfrog formulation of the 3D ADI-FDTD algorithm," Int. J. Numer. Model,, Vol. 22, No. 2, 187-200, 2009.        Google Scholar

5. Yang, S. C., Z. Chen, Y. Yu, and W. Y. Yin, "An unconditionally stable one-step arbitrary-order leapfrog ADI-FDTD method and its numerical properties," IEEE Trans. Antennas Propag.,, Vol. 60, No. 4, 1995-2003, Apr. 2012.        Google Scholar

6. Gan, T. H. and E. L. Tan, "Stability and dispersion analysis for three-dimensional (3-D) leapfrog ADI-FDTD method," Progress In Electromagnetics Research M, Vol. 23, 1-12, Jan. 2012.        Google Scholar

7. Heh, D. Y. and E. L. Tan, "Dispersion analysis of FDTD schemes for doubly lossy media," Progress In Electromagnetics Research B, Vol. 14, 177-192, 2010.        Google Scholar

8. Velarde, L. F., J. A. Pereda, A. Vegas, and O. Gonzalez, "A weighted-average scheme for accurate FDTD modeling of electromagnetic wave propagation in conductive media," IEEE Antennas Wireless Propag. Lett., Vol. 3, 302-305, 2004.        Google Scholar

9. Pereda, J. A., A. Grande, O. Gonzalez, and A. Vegas, "The 1D ADI-FDTD method in lossy media," IEEE Antennas Wireless Propag. Lett., Vol. 7, 477-480, 2008.        Google Scholar

10. Heh, D. Y. and E. L. Tan, "Unified efficient fundamental ADI-FDTD schemes for lossy media," Progress In Electromagnetics Research B, Vol. 32, 217-242, 2011.        Google Scholar

11. Gan, T. H. and E. L. Tan, "Unconditionally stable leapfrog ADI-FDTD method for lossy media," Progress In Electromagnetics Research M, Vol. 26, 173-186, 2012.        Google Scholar

12. Xiao, F. and X. H. Tang, "Stability and numerical dispersion analysis of a fourth-order accurate FDTD method," IEEE Trans. Antennas Propag., Vol. 54, No. 9, 2525-2530, Sep. 2006.        Google Scholar

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