Search search
Publication Date
to
Vol. 19
Latest Volume
All Volumes
PIERB 118 PIERB 117 PIERB 116 PIERB 115 PIERB 114 PIERB 113 PIERB 112 PIERB 111 PIERB 110 PIERB 109 PIERB 108 PIERB 107 PIERB 106 PIERB 105 PIERB 104 PIERB 103 PIERB 102 PIERB 101 PIERB 100 PIERB 99 PIERB 98 PIERB 97 PIERB 96 PIERB 95 PIERB 94 PIERB 93 PIERB 92 PIERB 91 PIERB 90 PIERB 89 PIERB 88 PIERB 87 PIERB 86 PIERB 85 PIERB 84 PIERB 83 PIERB 82 PIERB 81 PIERB 80 PIERB 79 PIERB 78 PIERB 77 PIERB 76 PIERB 75 PIERB 74 PIERB 73 PIERB 72 PIERB 71 PIERB 70 PIERB 69 PIERB 68 PIERB 67 PIERB 66 PIERB 65 PIERB 64 PIERB 63 PIERB 62 PIERB 61 PIERB 60 PIERB 59 PIERB 58 PIERB 57 PIERB 56 PIERB 55 PIERB 54 PIERB 53 PIERB 52 PIERB 51 PIERB 50 PIERB 49 PIERB 48 PIERB 47 PIERB 46 PIERB 45 PIERB 44 PIERB 43 PIERB 42 PIERB 41 PIERB 40 PIERB 39 PIERB 38 PIERB 37 PIERB 36 PIERB 35 PIERB 34 PIERB 33 PIERB 32 PIERB 31 PIERB 30 PIERB 29 PIERB 28 PIERB 27 PIERB 26 PIERB 25 PIERB 24 PIERB 23 PIERB 22 PIERB 21 PIERB 20 PIERB 19 PIERB 18 PIERB 17 PIERB 16 PIERB 15 PIERB 14 PIERB 13 PIERB 12 PIERB 11 PIERB 10 PIERB 9 PIERB 8 PIERB 7 PIERB 6 PIERB 5 PIERB 4 PIERB 3 PIERB 2 PIERB 1
All Journals
PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2010-01-27
Weakly Conditionally Stable and Unconditionally Stable FDTD Schemes for 3D Maxwell's Equations
By
Juan Chen,

    Dr. Juan Chen

    School of Electronic and Information Engineering

    Xi'an Jiaotong University

    China

    Homepage

Jianguo Wang

    Prof. Jianguo Wang

    Computational Physics

    Northwest Institute of Nuclear Technology

    China

    Homepage

Progress In Electromagnetics Research B, Vol. 19, 329-366, 2010
doi:10.2528/PIERB09110502 | Google Scholar

Abstract
To overcome the Courant limit on the time step size of the conventional finite-difference time-domain (FDTD) method, some weakly conditionally stable and unconditionally stable FDTD methods have been developed recently. To analyze the relations between these methods theoretically, they are all viewed as approximations of the conventional FDTD scheme in present discussion. The errors between these methods and the conventional FDTD method are presented analytically, and the numerical performances, including computation accuracy, efficiency, and memory requirements, are discussed, by comparing with those of the conventional FDTD method.
Download Full Article (235) View Full Article volume
Citation
Juan Chen, and Jianguo Wang, "Weakly Conditionally Stable and Unconditionally Stable FDTD Schemes for 3D Maxwell's Equations," Progress In Electromagnetics Research B, Vol. 19, 329-366, 2010.
doi:10.2528/PIERB09110502
References

1. Yee, K. S., "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propagat., Vol. 14, No. 3, 302-307, May 1966.
doi:10.1109/TAP.1966.1138693        Google Scholar

2. Yang, S., Y. Chen, and Z. P. Nie, "Simulation of time modulated linear antenna arrays using the FDTD method," Progress In Electromagnetics Research, Vol. 98, 175-190, 2009.
doi:10.2528/PIER09092507        Google Scholar

3. Swillam, M. A., R. H. Gohary, M. H. Bakr, and X. Li, "Efficient approach for sensitivity analysis of lossy and leaky structures using FDTD," Progress In Electromagnetics Research, Vol. 94, 197-212, 2009.
doi:10.2528/PIER09061708        Google Scholar

4. Huang, C. H., C. C. Chiu, C. L. Li, and Y.-H. Li, "Image reconstruction of the buried metallic cylinder using FDTD method and SSGA," Progress In Electromagnetics Research, Vol. 85, 195-210, 2008.
doi:10.2528/PIER08072901        Google Scholar

5. Taflove, A., Computational Electrodynamics, Artech House, 1995.

6. Zheng, F., Z. Chen, and J. Zhang, "A finite-difference time-domain method without the courant stability conditions," IEEE Microwave Guided Wave Lett., Vol. 9, No. 11, 441-443, Nov. 1999.
doi:10.1109/75.808026        Google Scholar

7. Namiki, T., "3-D ADI-FDTD scheme-unconditionally stable time-domain algorithm for solving full vector Maxwell's equations," IEEE Trans. Microwave Theory Tech., Vol. 48, No. 10, 1743-1748, Oct. 2000.
doi:10.1109/22.873904        Google Scholar

8. Chen, J. and J. Wang, "PEC condition implementation for the ADI-FDTD method," Microwave Opt. Technol. Lett., Vol. 49, No. 3, 526-530, Mar. 2007.
doi:10.1002/mop.22185        Google Scholar

9. Sun, G. and C. W. Trueman, "Some fundamental characteristics of the one-dimensional alternate-direction-implicit finite-difference timedomain method," IEEE Trans. Microawave Theory Tech., Vol. 52, No. 1, 46-52, Jan. 2004.
doi:10.1109/TMTT.2003.821230        Google Scholar

10. Ahmed, I. and Z. Chen, "Error reduced ADI-FDTD methods," IEEE Antennas Wireless Propag. Lett., Vol. 4, 323-325, 2005.        Google Scholar

11. Sun, G. and C. W. Trueman, "Efficient implementations of the Crank-Nicolson scheme for the finite-difference time-domain method," IEEE Trans. Antennas Propag., Vol. 54, No. 5, 2275-2284, May 2006.
doi:10.1049/el:20040420        Google Scholar

12. Sun, G. and C. W. Trueman, "An unconditionally-stable FDTD method based on the Crank-Nicolson scheme for solving the three-dimensional Maxwell's equations," Electron. Lett., Vol. 40, No. 10, 589-590, 2004.
doi:10.1049/el:20030416        Google Scholar

13. Sun, G. and C. W. Trueman, "Unconditionally stable Crank-Nicolson scheme for solving two-dimensional Maxwell's equations," Electron. Lett., Vol. 39, No. 7, 595-596.
doi:10.1002/mop.11089        Google Scholar

14. Zhao, A. P., "A novel implementation for two-dimensional unconditionally stable FDTD method," Microwave Opt. Technol. Lett., Vol. 38, No. 6, 457-462, Sep. 2003.
doi:10.1002/mop.21684        Google Scholar

15. Yang, Y., R. S. Chen, and E. K. N. Yung, "The unconditionally stable Crank-Nicolson FDTD method for three-dimensional Maxwell's equations," Microwave Opt. Technol. Lett., Vol. 48, No. 8, 1619-1622, Aug. 2006.
doi:10.1109/TAP.2009.2029377        Google Scholar

16. Chen, J. and J. Wang, "Two approximate Crank-Nicolson finite-difference time-domain method for waves," IEEE Trans. Antennas Propag., Vol. 57, No. 10, 3375-3378, Oct. 2009.
doi:10.1109/LAWP.2002.802583        Google Scholar

17. Garcia, S. G., T.-W. Lee, and S. C. Hagness, "On the accuracy of the ADI-FDTD method," IEEE Antennas Wireless Propag. Lett., Vol. 1, No. 1, 31-34, 2002.
doi:10.1049/el:20062011        Google Scholar

18. Chen, J. and J. Wang, "Error between unconditionally stable FDTD methods and conventional FDTD method," Electon. Lett., Vol. 42, No. 20, 1132-1133, Sep. 2006.
doi:10.1002/mop.11138        Google Scholar

19. Huang, B., G. Wang, Y. S. Jiang, and W. B. Wang, "A hybrid implicit-explicit FDTD scheme with weakly conditional stability," Microwave Opt. Technol. Lett., Vol. 39, No. 2, 97-101, Oct. 2003.
doi:10.1002/mop.21898        Google Scholar

20. Chen, J. and J. Wang, "A 3-D hybrid implicit-explicit FDTD scheme with weakly conditional stability," Microwave Opt. Technol. Lett., Vol. 48, No. 11, 2291-2294, Nov. 2006.
doi:10.1002/mop.22340        Google Scholar

21. Chen, J. and J. Wang, "Comparison between HIE-FDTD method and ADI-FDTD method," Microwave Opt. Technol. Lett., Vol. 49, No. 5, 1001-1005, May 2007.
doi:10.1109/TEMC.2007.897130        Google Scholar

22. Chen, J. and J. Wang, "A three-dimensional semi-implicit FDTD scheme for calculation of shielding effectiveness of enclosure with thin slots," IEEE Trans. Electromagn. Compat., Vol. 49, No. 2, 419-426, May 2007.
doi:10.1002/mop.22962        Google Scholar

23. Ahmed, I. and E. Li, "Conventional perfectly matched layer for weakly conditionally stable hybrid implicit and explicit-FDTD method," Microwave Opt. Technol. Lett., Vol. 49, No. 12, 3106-3109, Dec. 2007.
doi:10.1109/TAP.2007.910338        Google Scholar

24. Chen, J. and J. Wang, "Numerical simulation using HIE-FDTD method to estimate various antennas with fine scale structures," IEEE Trans. Antennas Propagat., Vol. 55, No. 12, 3603-3612, Dec. 2007.
doi:10.1002/mop.23390        Google Scholar

25. Chen, J. and J. Wang, "Implementation of connection boundary for HIE-FDTD method," Microwave Opt. Technol. Lett., Vol. 50, No. 5, 1347-1352, May 2008.
doi:10.1109/TEMC.2008.922791        Google Scholar

26. Chen, J. and J. Wang, "The body-of-revolution hybrid implicitexplicit finite-difference time-domain method with large time step size," IEEE Trans. Electromagn. Compat., Vol. 50, No. 2, 369-374, May 2008.
doi:10.1109/TAP.2008.929528        Google Scholar

27. Xiao, F., X. Tang, and L. Wang, "Stability and numerical dispersion analysis of a 3D hybrid implicit-explicit FDTD method," IEEE Trans. Antennas Propag., Vol. 56, No. 10, 3346-3350, Oct. 2008.        Google Scholar

28. Chen, J. and J. Wang, "3-D FDTD method with weakly conditional stability," Electon. Lett., Vol. 43, No. 1, Jan. 2-3, 2007.
doi:10.1109/TEMC.2007.897130        Google Scholar

29. Chen, J. and J. Wang, "A novel WCS-FDTD method with weakly conditional stability," IEEE Trans. Electromagn. Compat., Vol. 49, No. 2, 419-426, May 2007.
doi:10.1109/TAP.2007.910346        Google Scholar

30. Chen, J. and J. Wang, "A new method to avoid the reduction of the time step in CP-FDTD method," IEEE Trans. Antennas Propag., Vol. 55, No. 12, 3613-3619, Dec. 2007.
doi:10.1002/mop.22633        Google Scholar

31. Chen, J. and J. Wang, "Using WCS-FDTD method to simulate various small aperture-coupled metallic enclosures," Microwave Opt. Technol. Lett., Vol. 49, No. 8, 1852-1858, Aug. 2007.
doi:10.1109/LMWC.2008.922574        Google Scholar

32. Chen, J. and J. Wang, "A novel body-of-revolution finite-di®erence time-domain method with weakly conditional stability," IEEE Microwave Wire Comp. Lett., Vol. 16, No. 6, 377-379, Jun. 2008.        Google Scholar

Download Full Article (235) View Full Article volume


The EM Academy piers.org jpier.org Who's Who in EM
Copyright © 2022 The Electromagnetics Academy. All Rights Reserved.