PIER Letters
Progress In Electromagnetics Research Letters
ISSN: 1937-6480
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 40 > pp. 49-60


By J.-Y. Gao and H.-X. Zheng

Full Article PDF (210 KB)

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.

J.-Y. Gao and H.-X. Zheng, "One-Step Leapfrog Adi-FDTD Method for Lossy Media and its Stability Analysis," Progress In Electromagnetics Research Letters, Vol. 40, 49-60, 2013.

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

© Copyright 2010 EMW Publishing. All Rights Reserved