volume | PIER Journals

Abstract

This paper analyzes the high-frequency energy distribution of a paraboloid reflector in the presence of a uniform plasma layer. The curved surface of the paraboloid reflector is thought to be coated with a uniform plasma layer. The geometrical optics technique shows a singularity at the focal point of the paraboloid reflector. The singularity is removed with the help of Maslov's method, which also let us derive the integral equations that give the high-frequency energy distribution at the focal point. The analytical integral is solved numerically using a computational technique, and the effects of plasma frequency, collisional frequency, operating frequency, and multiple reflections on energy distribution at the focal point are observed. Under the special conditions our analytical and numerical results are obtained which align with the published literature.

1. Alexeff, I., T. Anderson, E. Farshi, N. Karnam, and N. R. Pulasani, "Recent results for plasma antennas," Physics of Plasmas, Vol. 15, 057104, 2008.
doi:10.1063/1.2919157

2. Kuz'min, G., I. Minaev, K. Rukhadze, V. Tarakanov, and O. Tikhonevich, "Reflector plasma array antennas," Journal of Communications Technology and Electronics, Vol. 57, 536-542, 2012.
doi:10.1134/S1064226912040110

3. Alexeff, I., T. Anderson, S. Parameswaran, E. P. Pradeep, J. Hulloli, and P. Hulloli, "Experimental and theoretical results with plasma antennas," IEEE Transactions on Plasma Science, Vol. 34, 166-172, 2006.
doi:10.1109/TPS.2006.872180

4. Jusoh, M. T., K. A. Ahmad, M. F. M. Din, and F. R. Hashim, "Reconfigurable antenna using plasma reflector," AIP Conference Proceedings, 020029, 2018.
doi:10.1063/1.5022923

5. Ginzburg, V. L., "The propagation of electromagnetic waves in plasmas," International Series of Monographs in Electromagnetic Waves, 2nd Rev. and Enl. Edition, Pergamon, Oxford, 1970.

6. Woods, L., The Propagation of Electromagnetic Waves in Plasmas, JSTOR, 1972.

7. Heald, M. A. and C. Wharton, Plasma Diagnostics with Microwaves, RE Krieger Pub. Co., 1978.

8. Gradov, O. and L. Stenflo, "On the parametric transparency of a magnetized plasma slab," Physics Letters A, Vol. 83, 257-258, 1981.
doi:10.1016/0375-9601(81)90977-4

9. Vidmar, R., "On the use of atmospheric plasmas as electromagnetic reflectors," IEEE Transactions on Plasma Science, Vol. 21, 876-880, 1992.

10. Smilyanskii, V., "Propagation of an electromagnetic wave across a magnetic field in a parabolic plasma layer," Journal of Applied Mechanics and Technical Physics, Vol. 12, 366-371, 1971.
doi:10.1007/BF00851617

11. Bai, B., X. Li, Y. Liu, J. Xu, L. Shi, and K. Xie, "Effects of reentry plasma sheath on the polarization properties of obliquely incident EM waves," IEEE Transactions on Plasma Science, Vol. 42, 3365-3372, 2014.
doi:10.1109/TPS.2014.2349009

12. Jazi, B., B. Davoudi-Rahaghi, M. R. Khajehmirzaei, and A. R. Niknam, "Energy distribution along the focal axis of a metallic cylindrical parabolic reflector covered with a plasma layer," IEEE Transactions on Plasma Science, Vol. 42, 286-292, 2014.
doi:10.1109/TPS.2013.2294404

13. Bai, B., Y. Liu, X. Lin, and X. Li, "Effects of a reentry plasma sheath on the beam pointing properties of an array antenna," AIP Advances, Vol. 8, 035023, 2018.
doi:10.1063/1.5018813

14. Mei, J. and Y.-J. Xie, "Effects of a hypersonic plasma sheath on the performances of dipole antenna and horn antenna," IEEE Transactions on Plasma Science, Vol. 45, 364-371, 2017.
doi:10.1109/TPS.2017.2656159

15. Niknam, A., M. Khajehmirzaei, B. Davoudi-Rahaghi, Z. Rahmani, B. Jazi, and A. Abdoli-Arani, "Electromagnetic modeling of the energy distribution of a metallic cylindrical parabolic reflector covered with a magnetized plasma layer," Physics of Plasmas, Vol. 21, 073107, 2014.
doi:10.1063/1.4891425

16. Wang, Z.-B., B.-W. Li, Q.-Y. Nie, X.-G. Wang, and F.-R. Kong, "Study on the electromagnetic waves propagation characteristics in partially ionized plasma slabs," AIP Advances, Vol. 6, 055312, 2016.
doi:10.1063/1.4950772

17. Bai, B., X. Li, Y. Liu, and J. Xu, "Effects of reentry plasma sheath on mutual-coupling property of array antenna," International Journal of Antennas and Propagation, Vol. 2015, 2015.

18. Ziolkowski, R. W. and G. A. Deschamps, "Asymptotic evaluation of high-frequency fields near a caustic: An introduction to Maslov's method," Radio Science, Vol. 19, 1001-1025, 1984.
doi:10.1029/RS019i004p01001

19. Thomson, C. and C. Chapman, "An introduction to Maslov's asymptotic method," Geophysical Journal International, Vol. 83, 143-168, 1985.
doi:10.1111/j.1365-246X.1985.tb05161.x

20. Hongo, K., Y. Ji, and E. Nakajima, "High-frequency expression for the field in the caustic region of a reflector using Maslov's method," Radio Science, Vol. 21, 911-919, 1986.
doi:10.1029/RS021i006p00911

21. Hongo, K. and Y. Ji, "High-frequency expression for the field in the caustic region of a cylindrical reflector using Maslov's method," Radio Science, Vol. 22, 357-366, 1987.
doi:10.1029/RS022i003p00357

22. Ghaffar, A. and M. A. Alkanhal, "Fields in the focal region of an elliptical reflector coated with an unmagnetized plasma layer," Waves in Random and Complex Media, Vol. 25, 405-416, 2015.
doi:10.1080/17455030.2015.1042093

23. Ghaffar, A. and M. A. Alkanhal, "Electromagnetic field intensity distribution along the focal region of a metallic parabolic reflector covered with a plasma layer under oblique incidence," IEEE Transactions on Plasma Science, Vol. 43, 3801-3807, 2015.
doi:10.1109/TPS.2015.2478806

24. Ghaffar, A. and M. Alkanhal, "Electromagnetic field intensity distribution along focal region of a metallic circular reflector covered with a plasma layer," Journal of the European Optical Society-Rapid Publications, Vol. 10, 2015.

25. Bohren, C. F. and A. J. Hunt, "Scattering of electromagnetic waves by a charged sphere," Canadian Journal of Physics, Vol. 55, 1930-1935, 1977.
doi:10.1139/p77-235

26. Klačka, J. and M. Kocifaj, "Scattering of electromagnetic waves by charged spheres and some physical consequences," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 106, 170-183, 2007.
doi:10.1016/j.jqsrt.2007.01.016

27. Klacka, J. and M. Kocifaj, "On the scattering of electromagnetic waves by a charged sphere," Progress In Electromagnetics Research, Vol. 109, 17-35, 2010.
doi:10.2528/PIER10072708

28. Kocifaj, M. and J. Klačka, "Scattering of electromagnetic waves by charged spheres: Near-field external intensity distribution," Optics Letters, Vol. 37, 265-267, 2012.
doi:10.1364/OL.37.000265

29. Klačka, J., M. Kocifaj, F. Kundracik, G. Videen, and I. Kohút, "Generalization of electromagnetic scattering by charged grains through incorporation of interband and intraband effects," Optics Letters, Vol. 40, 5070-5073, 2015.
doi:10.1364/OL.40.005070

30. Kocifaj, M., J. Klačka, F. Kundracik, and G. Videen, "Charge-induced electromagnetic resonances in nanoparticles," Annalen der Physik, Vol. 527, 765-769, 2015.
doi:10.1002/andp.201500202

31. Zhou, J., X. Dou, and L. Xie, "Scattering and attenuation of electromagnetic waves by partly charged particles," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 206, 55-62, 2018.
doi:10.1016/j.jqsrt.2017.11.006

32. Gurel, C. S. and E. Oncu, "Characteristics of electromagnetic wave propagation through a magnetised plasma slab with linearly varying electron density," Progress In Electromagnetics Research B, Vol. 21, 385-398, 2010.

33. Balanis, C. A., Advanced Electromagnetic Engineering, John Wiley & Sons Comp., Hoboken, 1989.

Dr. Muhammad Hassnain Shahzad

Dr. Abdul Ghaffar

Dr. Muhammad Yasin Naz

Dr. Haq Nawaz Bhatti