Recursive convolution FDTD method is employed to study the bistatic radar cross section (RCS) of a conductive plate covered with an inhomogeneous magnetized plasma shroud. The results of numerical simulations reveal that for a plasma of number density 5×1017 m-3 and collision frequency of 1 GHz, RCS reduction (RCSR) is improved i.e., its maximum reduction, bandwidth, and angular width are enhanced, when a perpendicular magnetic field of intensity B=0.25 T is applied. However, increase of the magnetic field to 0.4 T leads to a much lower RCSR specially for the backscattered wave. As the collision frequency is increased to 10 GHz, the RCSR is enhanced both in the presence and absence of the magnetic field. However, with further increase of collision frequency to 60 GHz, the RCSR is significantly reduced and the problem is more severe in the backward direction. The resonant absorption is dominant at low to moderate collision frequencies, for magnetic field intensity above 0.1 T, but becomes almost inefficient when the collision frequency is increased to 60 GHz. The RCSR is considerably weakened when the plasma number density is reduced and the effect is prominent for small angles. A plasma inhomogeneity length scale of 5 cm provides the maximum RCSR in the presence of the magnetic field. With increase of the length scale, the maximum RCSR, the corresponding wave frequency, and bandwidth all are reduced. Therefore, it is conclude that a plasma with number density of 5×1017 m-3, collision frequency of 10 GHz, and length scale of 5 cm, with a perpendicular magnetic field of 0.25 T is the best choice for optimum RCSR of a conductive plate.
Mohammad Naghi Azarmanesh,
"Optimization Study of Radar Cross Section Reduction by an Inhomogeneous Collisional Magnetized Plasma," Progress In Electromagnetics Research C,
Vol. 93, 157-172, 2019. doi:10.2528/PIERC19041608
1. Singh, H., S. Antony, and R. M. Jha, Plasma-Based Radar Cross Section Reduction, Springer, Singapore 2016.
2. Vidmar, R., "On the use of atmospheric pressure plasmas as electromagnetic reflectors and absorbers," IEEE Transactions on Plasma Science, Vol. 18, No. 4, 733-741, 1990. doi:10.1109/27.57528
3. Stalder, K. R., R. J. Vidmar, and D. J. Eckstrom, "Observations of strong microwave absorption in collisional plasmas with gradual density gradients," Journal of Applied Physics, Vol. 72, No. 11, 5089-5094, 1992. doi:10.1063/1.352038
4. Srivastava, A. K., G. Prasad, P. K. Atrey, and V. Kumar, "Attenuation of microwaves propagating through parallel-plate helium glow discharge at atmospheric pressure," Journal of Applied Physics, Vol. 103, No. 3, 033302, 2008. doi:10.1063/1.2838199
5. Yin, X., H. Zhang, S.-J. Sun, Z. Zhao, and Y.-L. Hu, "Analysis of propagation and polarization characteristics of electromagnetic waves through nonuniform magnetized plasma slab using propagator matrix method," Progress In Electromagnetics Research, Vol. 137, 159-186, 2013. doi:10.2528/PIER13010410
6. Hu, B. J., G. Wei, and S. L. Lai, "SMM analysis of reflection, absorption, and transmission from nonuniform magnetized plasma slab," IEEE Transactions on Plasma Science, Vol. 27, No. 4, 1131-1136, 1999. doi:10.1109/27.782293
7. Yee, K., "Numerical solution of initial boundary value problems involving maxwells equations in isotropic media," IEEE Transactions on Antennas and Propagation, Vol. 14, No. 3, 302-307, 1966. doi:10.1109/TAP.1966.1138693
8. Huang, S. and F. Li, "Finite-difference time-domain simulation of electromagnetic propagation in magnetized plasma," Computer Physics Communications, Vol. 166, No. 1, 45-52, 2005. doi:10.1016/j.cpc.2004.10.007
9. Jiang, Z., X. Hu, M. Liu, C. Lan, S. Zhang, Y. He, and Y. Pan, "Attenuation and propagation of a scattered electromagnetic wave in two-dimensional atmospheric pressure plasma," Plasma Sources Science and Technology, Vol. 16, No. 1, 97-103, Dec. 2006. doi:10.1088/0963-0252/16/1/013
10. Chung, S. M., "FDTD simulations on radar cross sections of metal cone and plasma covered metal cone," Vacuum, Vol. 86, No. 7, 970-984, 2012. doi:10.1016/j.vacuum.2011.08.016
11. Chaudhury, B. and S. Chaturvedi, "Three-dimensional computation of reduction in radar cross section using plasma shielding," IEEE Transactions on Plasma Science, Vol. 33, No. 6, 2027-2034, 2005. doi:10.1109/TPS.2005.860122
12. Chaudhury, B. and S. Chaturvedi, "Study and optimization of plasma-based radar cross section reduction using three-dimensional computations," IEEE Transactions on Plasma Science, Vol. 37, No. 11, 2116-2127, 2009. doi:10.1109/TPS.2009.2032331
13. Chaudhury, B. and S. Chaturvedi, "Comparison of wave propagation studies in plasmas using three-dimensional finite-difference time-domain and ray-tracing methods," Physics of Plasmas, Vol. 13, No. 12, 123302, 2006. doi:10.1063/1.2397582
14. Luebbers, R. J., F. Hunsberger, and K. S. Kunz, "A frequency-dependent finite-difference time-domain formulation for transient propagation in plasma," IEEE Transactions on Antennas and Propagation, Vol. 39, No. 1, 29-34, 1991. doi:10.1109/8.64431
15. Luebbers, R. J. and F. Hunsberger, "FDTD for Nth-order dispersive media," IEEE Transactions on Antennas and Propagation, Vol. 40, No. 11, 1297-1301, 1992. doi:10.1109/8.202707
16. 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
17. Kelley, D. and R. 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
18. Liu, S. and S. Zhong, "FDTD study on scattering for conducting target coated with magnetized plasma of time-varying parabolic density distribution," Progress In Electromagnetics Research M, Vol. 22, 13-25, 2012. doi:10.2528/PIERM11083109
19. Sullivan, D., "Frequency-dependent FDTD methods using Z transforms," IEEE Transactions on Antennas and Propagation, Vol. 40, No. 10, 1223-1230, 1992. doi:10.1109/8.182455
20. Sullivan, D., "Z-transform theory and the FDTD method," IEEE Transactions on Antennas and Propagation, Vol. 44, No. 1, 28-34, 1996. doi:10.1109/8.477525
21. Kashiwa, T. and I. Fukai, "A treatment by the FD-TD method of the dispersive characteristics associated with electronic polarization," Microwave and Optical Technology Letters, Vol. 3, No. 6, 203-205, 1990. doi:10.1002/mop.4650030606
22. Joseph, R., S. Hagness, and A. Taflove, "Direct time integration of Maxwell’s equations in linear dispersive media with absorption for scattering and propagation of femtosecond electromagnetic pulses," Optics Letters, Vol. 16, No. 18, 1412-1414, 1991. doi:10.1364/OL.16.001412
23. Gandhi, O. P., B. Q. Gao, and J. Y. Chen, "A frequency-dependent finite-difference time-domain formulation for general dispersive media," IEEE Transactions on Microwave Theory and Techniques, Vol. 41, No. 4, 658-665, 1993. doi:10.1109/22.231661
24. Laroussi, M. and J. Roth, "Numerical calculation of the reflection, absorption, and transmission of microwaves by a nonuniform plasma slab," IEEE Transactions on Plasma Science, Vol. 21, No. 4, 366-372, 1993. doi:10.1109/27.234562
25. Petrin, A., "On the transmission of microwaves through plasma layer," IEEE Transactions on Plasma Science, Vol. 28, No. 3, 1000-1008, 2000. doi:10.1109/27.887768
26. Tang, D., A. Sun, X. Qiu, and P. Chu, "Interaction of electromagnetic waves with a magnetized nonuniform plasma slab," IEEE Transactions on Plasma Science, Vol. 31, No. 3, 405-410, 2003. doi:10.1109/TPS.2003.811648
27. Foroutan, V., M. N. Azarmanesh, and G. Foroutan, "FDTD simulation of radar cross section reduction by a collisional inhomogeneous magnetized plasma," Physics of Plasmas, Vol. 25, No. 2, 2018. doi:10.1063/1.5018314
28. Chung, S. S. M. and Y. C. Chuang, "Simulation on change of generic satellite radar cross section via artificially created plasma sprays," Plasma Sources Science and Technology, Vol. 25, No. 3, 2016. doi:10.1088/0963-0252/25/3/035004
29. Kunz, K. S. and R. J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics, CRC Press, Boca Raton, 1993.
30. Goldston, R. J. and P. H. Rutherford, Introduction to Plasma Physics, IOP, London, UK, 1995. doi:10.1887/075030183X
31. Taflove, A. and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, Boston, Mass., 2000.
32. Inan, U. S., "Numerical Electromagnetics: The FDTD Method," Cambridge University Press, 2011.