Journal of the European Optical Society - Rapid publications, Vol 10 (2015)

Caustic region fields of an elliptical reflector covered by an anisotropic magnetized plasma layer

A. Ghaffar, M. A. S. Alkanhal

Abstract


Theoretical formulations of the electromagnetic (EM) field distribution in the focal or caustic region of an elliptical reflector with its curved surface coated by collisional magnetized anisotropic plasma have been derived. Both parallel and perpendicular polarizations of the normal incident wave are considered. Expressions for the EM field intensity along the focal region have been obtained accurately using Maslov’s method. The effect of the plasma-layer thickness on the reflected and transmitted field intensity distributions was investigated. Other physical parameters such as the plasma electron density, the cyclotron frequencies, and the collisional frequency have been noticed to have an evident influence on the levels of the transmitted field-intensities along the focal region. The problem discussed in this paper has, also, been solved using Kirchhoff’s approximation and the results of the two methods are found to be in a good agreement.


© The Authors. All rights reserved. [DOI: 10.2971/jeos.2015.15034]

Full Text: PDF

Citation Details


Cite this article

References


D. R. Nicholson, Introduction to plasma theory (Cambridge University Press, Cambridge, 1983).

V. Smilyanskii, ”Propagation of an electromagnetic wave across a magnetic field in a parabolic plasma layer,” J. Appl. Mech. Tech. Phy. 12, 366–371, 1971.

A. Ghaffar, M. Yaqoob, M. A. Alkanhal, M. Sharif, and Q. Naqvi, ”Electromagnetic scattering from anisotropic plasma-coated perfect electromagnetic conductor cylinders,” AEU-Int. J. Electron. C. 68, 767–772 (2014).

A. Ghaffar, and M. A. Alkanhal, ”Fields in the focal region of an elliptical reflector coated with an unmagnetized plasma layer,” Wave. Random Complex 25, 405–415 (2015).

M. Laroussi, and J. Reece Roth, ”Numerical calculation of the reflection, absorption, and transmission of microwaves by a nonuniform plasma slab,” IEEE T. Plasma Sci. 21, 366–372 (1993).

I. Alexeff, T. Anderson, S. Parameswaran, E. Michael, J. Dhanraj, and M. Thiyagarajan, ”Advances in plasma antenna design,” Proceedings to IEEE International Conference on Plasma Science, 350–350 (2005).

G. Kuz’min, I. Minaev, K. Rukhadze, V. Tarakanov, and O. Tikhonevich, ”Reflector plasma array antennas,” J. Commun. Technol. El. 57, 536–542 (2012).

H. Ling, S.-W. Lee, P. Lam, and W. Rusch, ”Focal shifts in parabolic reflectors,” IEEE T. Antenn. Propag. 33, 744–748 (1985).

H. Minnett, and B. Thomas, ”Fields in the image space of symmetrical focusing reflectors,” P. I. Electr. Eng. 115, 1419–1430 (1968).

H. Ling, and S.-W. Lee, ”Focusing of electromagnetic waves through a dielectric interface,” JOSA A 1, 965–973 (1984).

W. B. Dou, Z. L. Sun, and X. Q. Tan, ”Fields in the focal space of symmetrical hyperbolic focusing lens,” Prog. Electromagn. Res. 20, 213–226 (1998).

B. Jazi, 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 T. Plasma Sci. 42, 286–292 (2014).

A. Ghaffar, M. Yaqoob, M. A. Alkanhal, S. Ahmed, Q. Naqvi, and M. Kalyar, ”Scattering of electromagnetic wave from perfect electromagnetic conductor cylinders placed in un-magnetized isotropic plasma medium,” Optik 125, 4779–4783 (2014).

Z.-C. Yuan, and J.-M. Shi, ”Electromagnetic reflection of conductive plane covered with double inhomogeneous plasma slabs,” Int. J. Appl. Electrom. 42, 623–628 (2013).

A. Ghayekhloo, and A. Abdolali, ”Use of collisional plasma as an optimum lossy dielectric for wave absorption in planar layers, analysis, and application,” IEEE T. Plasma Sci. 42, 1999–2006 (2014).

A. Ghaffar, and M. Alkanhal, ”Electromagnetic field intensity distribution along focal region of a metallic circular reflector covered with a plasma layer,” J. Eur. Opt. Soc.-Rapid 10, 15014 (2015).

A. Niknam, 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,” Phys. Plasmas 21, 073107 (2014).

D. Tang, A. Sun, X. Qiu, and P. K. Chu, ”Interaction of electromagnetic waves with a magnetized nonuniform plasma slab,” IEEE T. Plasma Sci. 31, 405–410 (2003).

F. Jin, H. Tong, Z. Shi, D. Tang, and P. K. Chu, ”Effects of external magnetic field on propagation of electromagnetic wave in uniform magnetized plasma slabs,” Comput. Phys. Commun. 175, 545–552 (2006).

A. Ghaffar, and M. A. Alkanhal, ”Electromagnetic waves in uniaxial anisotropic chiral waveguides in magnetized plasma,” Wave. Random Complex 25, 323–333 (2015).

D.-W. Duan, and Y. Rahmat-Samii, ”Diffraction shaping of reflector antennas with elliptical apertures and circular feed,” in Proceedings to Antennas and Propagation Society International Symposium, 46–49 (IEEE, Seattle, 1994).

S. Skyttemyr, ”An elliptical aperture dual shaped reflector antenna for SNG applications,” in Proceedings to Antennas and Propagation Society International Symposium, 558–561 (IEEE, Salt Lake City, UT, USA, 2000).

A. Densmore, and Y. Rahmat-Samii, ”Three-parameter elliptical aperture distributions for difference patterns by particle swarm optimization,” in Proceedings to Antennas and Propagation Society International Symposium (APSURSI), 47–48 (IEEE, Memphis, 2014).

Y. Rahmat-Samii, ”Jacobi-Bessel analysis of reflector antennas with elliptical apertures,” IEEE T. Antenn. Propag. 35, 1070–1074 (1987).

C. Thomson, and C. Chapman, ”An introduction to Maslov’s asymptotic method,” Geophys. J. Int. 83, 143–168 (1985).

R. W. Ziolkowski, and G. A. Deschamps, ”Asymptotic evaluation of high-frequency fields near a caustic: an introduction to Maslov’s method,” Radio Sci. 19, 1001–1025 (1984).

K. Hongo, Y. Ji, and E. Nakajima, ”High-frequency expression for the field in the caustic region of a reflector using Maslov’s method,” Radio Sci. 21, 911–919 (1986).

K. Hongo, and Y. Ji, ”High-frequency expression for the field in the caustic region of a cylindrical reflector using Maslov’s method,” Radio Sci. 22, 357–366 (1987).

A. Ghaffar, S. Ahmed, and Q. Naqvi, ”Electromagnetic field in the caustic region of a spherical reflector under oblique incidence using Maslov’s method,” Int. J. Appl. Electrom. 40, 1–17 (2012).

A. Ghaffar, M. Shoaib, N. Mehmood, M. Naz, M. Azam, and Q. Naqvi, ”Electromagnetic field diffraction of a paraboloidal mirror under oblique incidence,” Int. J. Appl. Electrom. 41, 479–494 (2013).

A. Ghaffar, M. Arif, Q. A. Naqvi, and M. A. Alkanhal, ”Radiation properties of a uniaxial chiral quadratic inhomogeneous slab under oblique incidence,” Optik 125, 1589–1597 (2014).

A. Ghaffar, M. Sharif, Q. Naqvi, M. Alkanhal, F. Khalid, and S. Shukurullah, ”Focusing of electromagnetic wave from quartic inhomogeneous chiro-slab,” Appl. Comput. Electrom. 29, 478–485 (2014).

A. Ghaffar, H. Shahbaz Ahmad, and Q. Naqvi, ”Analysis of electromagnetic field transmitted by a quadratic inhomogeneous slab composed of chiral medium,” Int. J. Appl. Electrom. 42, 613–622 (2013).


Journal of the European Optical Society:Rapid publications - ISSN 1990-2573. JEOS:RP is subject to the EOS General Terms and Conditions.