volume | PIER Journals

Abstract

The trapezoidal recursive convolution (TRC) finite-difference time-domain (FDTD) method is extended to study the bistatic scattering radar cross sections (RCS) of conductive targets covered with inhomogeneous, time-varying, magnetized plasma medium. The two-dimensional TRC-FDTD formulations for electromagnetic scattering of magnetized plasma are derived. Time-varying parabolic density profiles of plasma are assumed in this paper. The bistatic radar cross sections are calculated under different conditions using 2-D TE model for a conductive cylinder covered with magnetized plasma. The numerical results show that plasma cloaking system can successfully reduce the bistatic RCS, that the plasma stealth is effective, and that the appropriate parameters of plasma can enhance its effectiveness.

1. Taflove, A. and C. H. Susan, Computational Electrodynamics: The Finite-difference Time-domain Method, Artech House, 2005.

2. Schneider, J. and S. Hudson, "The finite-difference time-domain method applied to anisotropic material," IEEE Transactions on Antennas and Propagation, Vol. 41, No. 7, 994-999, 1993.
doi:10.1109/8.237636

3. Hunsberger, F., R. Luebbers, and K. Kunz, "Finite-difference time-domain analysis of gyrotropic media. I. Magnetized plasma," IEEE Transactions on Antennas and Propagation, Vol. 40, No. 12, 1489-1495, 1992.
doi:10.1109/8.204739

4. Kelley, D. F. and R. J. Luebbers, "Piecewise linear recursive convolution for dispersive media using FDTD," IEEE Transactions on Antennas and Propagation, Vol. 44, No. 6, 792-797, 1996.
doi:10.1109/8.509882

5. Siushansian, R. and J. LoVetri, "A comparison of numerical techniques for modeling electromagnetic dispersive media," IEEE Microw. Guided Wave Lett., Vol. 5, No. 12, 426-428, 1995.
doi:10.1109/75.481849

6. Chen, Q., M. Katsurai, and P. H. Aoyagi, "An FDTD formulation for dispersive media using a current density," IEEE Transactions on Antennas and Propagation, Vol. 46, No. 11, 1739-1746, 1998.
doi:10.1109/8.736632

7. Liu, S. B., N. C. Yuan, and J. J. Mo, "Piecewise linear current density recursive convolution FDTD implementation for anisotropic magnetized plasmas," IEEE Microwave Wireless Components Letters, Vol. 14, No. 5, 222-224, 2004.
doi:10.1109/LMWC.2004.827844

8. Liu, S. and S. B. Liu, "Runge-kutta exponential time differencing FDTD method for anisotropic magnetized plasma," IEEE Antennas and Wireless Propagation Letters, Vol. 7, 306-309, 2008.

9. Xu, L. J. and N. C. Yuan, "JEC-FDTD for 2-D conducting cylinder coated by anisotropic magnetized plasma," IEEE Microwave Wireless Components Letters, Vol. 15, No. 12, 892-894, 2005.
doi:10.1109/LMWC.2005.859970

10. Xu, L. J. and N. C. Yuan, "FDTD for formulations for scattering from 3-D anisotropic magnetized plasma objects," IEEE Antennas and Wireless Propagation Letters, Vol. 5, 335-338, 2006.
doi:10.1109/LAWP.2006.878901

11. Yang, L. X., "3D FDTD implementation for scattering of electric anisotropic dispersive medium using recursive convolution method," International Journal of Infrared and Millimeter Waves, Vol. 28, 557-565, 2007.
doi:10.1007/s10762-007-9233-9

12. Liu, S. B., J. J. Mo, and N. C. Yuan, "FDTD simulation of electromagnetic reflection of conductive plane covered with inhomogeneous time-varying plasma," International Journal of Infrared and Millimeter Waves, Vol. 23, No. 8, 1179-1191, 2002.
doi:10.1023/A:1019659608668

13. Liu, S. B., J. J. Mo, and N. C. Yuan, "FDTD analysis of electromagnetic reflection of conductive plane covered with magnetized inhomogeneous plasmas," International Journal of Infrared and Millimeter Waves, Vol. 23, No. 12, 1803-1815, 2002.
doi:10.1023/A:1021418805523

14. Dai, S. Y., C. M. Zhang, and Z. S. Wu, "Electromagnetic scattering of objects above ground using MRTD/FDTD hybrid metho," Journal of Electromagnetic Waves and Applications, Vol. 32, No. 16, 2187-2196, 2009.
doi:10.1163/156939309790109306

15. Lee, J. H. and D. K. Kalluri, "Three-dimensional FDTD simulation of electromagnetic wave transformation in a dynamic inhomogeneous magnetized plasma," IEEE Trans. on Antennas and Propagation, Vol. 47, No. 7, 1146-1151, 1999.
doi:10.1109/8.785745

16. Prokopidis, K. P., E. P. Kosmidou, and T. D. Tsiboukis, "An FDTD algorithm for wave propagation in dispersive media using higher-order schemes," Journal of Electromagnetic Waves and Applications, Vol. 18, No. 9, 1171-1194, 2004.
doi:10.1163/1569393042955306

17. Wang, M. Y., J. Wu, J. Wu, Y. Yan, and H.-L. Li, "FDTD study on scattering of metallic column covered by double-negative metamaterial," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 14, 1905-1914, 2007.
doi:10.1163/156939307783152777

18. Werner, G. R. and J. R. Cary, "Stable FDTD algorithm for non-diagonal, anisotropic dielectrics," Journal of Computational Physics, Vol. 226, 1085-1101, 2007.
doi:10.1016/j.jcp.2007.05.008

19. Lee, Y.-G., "Electric field discontinuity-considered effective-permittivities and integration-tensors for the three-dimensional finite-difference time-domain method," Progress In Electromagnetics Research, Vol. 118, 335-354, 2011.
doi:10.2528/PIER11060304

20. Geng, Y. L., X. B. Wu, and L. W. Li, "Characterization of electromagnetic scattering by a plasma anisotropic spherical shell," IEEE Antennas and Wireless Propagation Letters, Vol. 3, 100-103, 2004.
doi:10.1109/LAWP.2004.830018

21. Berenger, J. P., "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., Vol. 114, No. 1, 185-200, 1994.
doi:10.1006/jcph.1994.1159

Dr. Song Liu

Dr. Shuangying Zhong