Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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By M. F. Hadi and R. K. Dib

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This work demonstrates an efficient and simple approach for applying high-order extended-stencil FDTD algorithms near planar perfect electric conductors (PEC) boundaries while minimizing spurious reflections off the interface between the high-order grid and the mandated special compact cells around PEC boundaries. This proposed approach eliminates the need for cumbersome subgridding implementations and provides a superior alternative in minimizing spurious reflections without any added modeling complexity or computing costs. The high-order algorithm used in this work is the recently proposed three-dimensional FV24 algorithm and the proposed approach can be easily extended to the standard Fang high-order FDTD algorithm which represents a special case of the highly phasecoherent FV24 algorithm.

Citation: (See works that cites this article)
M. F. Hadi and R. K. Dib, " phase - matching the hybrid fv24 / s22 FDTD algorithm ," Progress In Electromagnetics Research, Vol. 72, 307-323, 2007.

1. Shlager, K. L. and J. B. Schneider, "Comparison of the dispersion properties of several low-dispersion finite-difference time-domain algorithms," IEEE Trans. Antennas Propagat., Vol. 51, No. 3, 642-653, 2003.

2. Forgy, E. A. and W. C. Chew, "A time-domain method with isotropic dispersion and increased stability on an overlapped lattice," IEEE Trans. Antennas Propagat., Vol. 50, No. 7, 983-996, 2002.

3. Cole, J. B., "A high-accuracy realization of the Yee algorithm using non-standard finite differences," IEEE Trans. Microwave Theory Tech., Vol. 45, No. 6, 991-996, 1997.

4. Hadi, M. F. and M. Piket-May, "A modified FDTD (2,4) scheme for modeling electrically large structures with high-phase accuracy," IEEE Trans. Antennas Propagat., Vol. 45, No. 2, 254-264, 1997.

5. Haussmann, G. J., "A dispersion optimized three-dimensional finite-difference time-domain method for electromagnetic analysis," Ph.D. dissertation, 1998.

6. Abd El-Raouf, H. E., E. A. El-Diwani, A. Ammar, and F. El- Hefnawi, "A low-dispersion 3-D second-order in time fourthorder in space FDTD scheme (m3d24)," IEEE Trans. Antennas Propagat., Vol. 52, No. 7, 1638-1646, 2004.

7. Hadi, M. F., "A super-phase coherent 3d high-order FDTD algorithm," 23rd International Review of Progress in Applied Computational Electromagnetics, No. 3, 2007.

8. Shi, Y. and C. H. Liang, "A strongly well-posed PML with unsplitfield formulations in cylindrical and spherical coordinates," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 13, 1761-1776, 2005.

9. Zhang, Y., W. Ding, and C. H. Liang, "Study on the optimum virtual topology for MPI based parallel conformal FDTD algorithms on PC clusters," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 13, 1817-1831, 2005.

10. Georgakopoulos, S. V., C. R. Birtcher, C. A. Balanis, and R. A. Renaut, "HIRF penetration and PED coupling analysis for scaled fuslage models using a hybrid subgrid FDTD(2,2)/FDTD(2,4) method," IEEE Trans. Electromagn. Compat., Vol. 45, No. 2, 293-305, 2003.

11. Abd El-Raouf, H. E., E. A. El-Diwani, A. E.-H. Ammar, and F. M. El-Hefnawi, "A FDTD hybrid m3d24-yee'' scheme with subgridding for solving large electromagnetic problems," Appl. Computat. Electromagn. Soc. J., Vol. 17, No. 1, 23-29, 2002.

12. Celuch-Marcysiak, M. and J. Rudnicki, "A study of numerical reflections caused by fdtd mesh refinements in 1d and 2d," 15th Ann. Conf. Microwave Radar Wireless Comm., No. 5, 626-629, 2004.

13. Hadi, M. F. and R. K. Dib, "Phase-matching the hybrid m24/s22 fdtd algorithm," 23rd International Review of Progress in Applied Computational Electromagnetics, No. 3, 2007.

14. Taflove, A., Computational Electrodynamics: The Finite- Difference Time-Domain Method, Artech House, Boston, MA, 1995.

15. Fang, J., "Time domain finite difference computation for Maxwell's equations," Ph.D. dissertation, 1989.

16. Dey, S. and R. Mittra, "Efficient computation of resonant frequencies and quality factors of cavities via a combination of the finite-difference time-domain technique and the Pade approximation," IEEE Microwave Guided Wave Lett., Vol. 8, No. 12, 415-417, 1998.

17. Golestani-Rad, L., J. Rashed-Mohassel, and M. M. Danaie, "Rigorous analysis of EM-wave penetration into a typical room using FDTD method: the transfer function concept," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 7, 913-926, 2006.

18. Ojeda, X. and L. Pichon, "Combining the finite element method and a Pade approximation for scattering analysis application to radiated electromagnetic compatibility problems," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 10, 1375-1390, 2005.

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