An analytical technique referred to as the propagator matrix method (PMM) is presented to study the problem of electromagnetic (EM) waves interacting with the nonuniform magnetized plasma. In this method, the state vector is proposed to describe the characteristics of eigen waves in anisotropic medium, and state vectors at two different locations are related with each other by the propagator matrix. This method can be used to deal with the phenomenon of the transformation of EM wave polarization induced by anisotropic magnetized plasma, besides the conventional propagation characteristics through plasma slab, which overcomes the drawback of other analytical methods introduced in former studies. The EM problem model considered in this work is a steady-state, two-dimensional, nonuniform magnetized plasma slab with arbitrary magnetic declination angle, which is composed of a number of subslabs. Each subslab has a fixed electron density, and the overall density profile across the whole slab follows any practical distribution function. Based on PMM, a significant feature of strong transformation of EM wave polarization is addressed when an incident wave normally projects on the slab, which leads to the reflected or transmitted waves containing two kinds of waves, i.e., the co-polarized wave and the cross-polarized wave. The effects of varying the plasma parameters on the reflected and transmitted powers of co-polarization and cross-polarization, as well as the absorptive power for the typical bi-exponential density profile are investigatedin in detail, which provides a certain reference to various plasma technologies such as plasma stealth and communications through re-entry plasma sheath.
"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
2. Mao, L.-X., H. Zhang, and C.-X. Zhang, "Analysis on the reflection characteristic of electromagnetic wave incidence in closed non-magnetized plasma," Journal of Electromagnetic Waves and Applications, Vol. 22, 2285-2296, 2008.
3. Mao, L. X., H. Zhang, Z. Li, and C.-X. Zhang, "Analysis on the stealth characteristic of two dimensional cylinder plasma envelopes," Progress In Electromagnetics Research Letters, Vol. 13, 83-92, 2010.
4. Alexef, I., T. Anderson, and S. Parameswaran, "Experimental and theoretical results with plasma antennas," IEEE Transactions on Plasma Science, Vol. 34, No. 2, 166-172, 2006.
5. Wu, X. P., J.-M. Shi, Z. S. Chen, and B. Xu, "A new plasma antenna of beam-forming," Progress In Electromagnetics Research, Vol. 126, 539-553, 2012.
6. Kumar, V., M. Mishra, and N. K. Joshi, "Study of a Fluorescent tube as plasma antenna," Progress In Electromagnetics Research Letters, Vol. 24, 17-26, 2011.
7. Naz, M. Y., A. Ghaffar, N. U. Rehman, S. Naseer, and M. Zakaullah, "Double and triple Langmuir probes measurements in inductively coupled nitrogen plasma," Progress In Electromagnetics Research, Vol. 114, 113-128, 2011.
8. Naz, M. Y., A. Ghaffar, N. U. Rehman, M. Azam, S. Shukrullah, A. Qayyum, and M. Zakaullah, "Symmetric and asymmetric double Langmuir probes characterization of radio frequency inductively coupled nitrogen plasma," Progress In Electromagnetics Research, Vol. 115, 207-221, 2011.
9. Wu, C.-J., T.-J. Yang, C. C. Li, and P. Y. Wu, "Investigation of effective plasma frequencies in one-dimensional plasma photonic crystals," Progress In Electromagnetics Research, Vol. 126, 521-538, 2012.
10. Hartunian, R. A., G. E. Stewart, S. D. Fergason, T. J. Curtiss, and R. W. Seibold, "Causes and mitigation of radio frequency (RF) blackout during reentry of reusable launch vehicles,", Aerosp. Corp., El Segundo, CA, Contractor Rep. ATR-2007(5309)-1, 2007.
11. Gilllman, E. D., J. E. Foster, and I. M. Blankson, "Review of leading approaches for mitigating hypersonic vehicle communications blackout and a method of ceramic particulate injection via cathode spot arcs for blackout mitigation,", NASA, Washington DC, NASA/TM-2010-216220, 2010.
12. Manningm, R. M., "Analysis of electromagnetic wave propagation in a magnetized re-entry plasma sheath via the Kinetic equation,", NASA, Glenn Research Center, Cleveland, Ohio, NASA/TM-2009-216096, 2009.
13. Liu, J.-F., X.-L. Xi, G.-B. Wan, and L.-L. Wang, "Simulation of electromagnetic wave propagation through plasma sheath using the moving-window finite-difference time-domain method," IEEE Transactions on Plasma Science, Vol. 39, No. 3, 852-855, Mar. 2011.
14. Shi, L., B. Guo, Y. Liu, and J. Li, "Characteristic of plasma heath channel and its effect on communication," Progress In Electromagnetics Research, Vol. 123, 321-336, 2012.
15. 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, 1131-1135, 1999.
16. Petrin, A. B., "Transmission of microwaves through magnetoactive plasma," IEEE Transactions on Plasma Science, Vol. 29, No. 3, 471-478, 2001.
17. Soliman, E. A., A. Helaly, and A. A. Megahed, "Propagation of electromagnetic waves in planar bounded plasma region," Progress In Electromagnetics Research, Vol. 67, 25-37, 2007.
18. Huang, H., Y. Fan, B.-I. Wu, F. Kong, and J. A. Kong, "Surface modes at the interfaces between isotropic media and uniaxial plasma," Progress In Electromagnetics Research, Vol. 76, 1-14, 2007.
19. Liu, X., Y. Shi, P. Zhu, Y. Zhang, and Q. Yang, "Total internal reflection of pulsed light beam upon ideal non-absorbing plasma," Journal of Modern Optics, Vol. 59, No. 7, 643-649, Apr. 2012.
20. Yin, X., H. Zhang, H.-Y. Xu, and X.-F. Zeng, "Improved shift-operator FDTD method for anisotropic magnetized plasma with arbitrary magnetic declination," Progress In Electromagnetics Research B, Vol. 38, 39-56, 2012.
21. Yin, X., H. Zhang, Z.-W. Zhao, and S.-J. Sun, "A high efficient SO-FDTD method for magnetized collisional plasma," Journal of Electromagnetic Waves and Applications, Vol. 26, No. 14-15, 1911-1921, 2012.
22. Yin, X., H. Zhang, et al. "Analysis of the Faraday rotation in a magnetized plasma," 2012 International Conference on Microwave and Millimeter Wave Technology, (ICMMT), Vol. 2, 1-4, May 2012.
23. Sodha, M. S., S. K. Mishra, and S. K. Agarwal, "Nonlinear prop-agation, self-modulation, and faraday rotation of electromagnetic beams in the ionosphere," IEEE Transactions on Plasma Science, Vol. 37, No. 2, 375-386, Feb. 2009.
24. Jandieri, G. V., A. Ishimaru, V. Jandieri, and N. N. Zhukova, "Depolarization of metric radio signals and the spatial spectrum of scattered radiation by magnetized turbulent plasma slab," Progress In Electromagnetics Research, Vol. 112, 63-75, 2011.
25. Bakunov, M. I. and S. N. Zhukov, "Transformation of electromagnetic wave polarization by the resonance in a thin solid-plasma film," Journal of Electromagnetic Waves and Applications, Vol. 10, No. 6, 791-802, 1996.
26. Negi, J. G. and R. N. Singh, "Propagator matrix formulation of heat transfer in spherically stratified media," Pure and Applied Geophysics, Vol. 70, No. 1, 74-80, 1968.
27. Rokhlin, S. I., "Stable recursive algorithm for elastic wave propagation in layered anisotropic media: Stiffness matrix method," J. Acoust. Soc. Am., Vol. 112, 822-834, 2002.
28. Chew, W. C., Waves and Fields in Inhomogeneous Media, Chapter 2, Van Nostrand Reinhold, New York, 1990.