Vol. 92

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2009-04-30

Paraboloidal Reflector in Chiral Medium Supporting Simultaneously Positive Phase Velocity and Negative Phase Velocity

By Tariq Rahim, Muhammad Junaid Mughal, Qaisar Naqvi, and Muhammad Faryad
Progress In Electromagnetics Research, Vol. 92, 223-234, 2009
doi:10.2528/PIER09031809

Abstract

Focused high frequency electromagnetic waves reflected from a PEC paraboloidal surface placed in homogeneous, reciprocal and isotropic medium with high chirality parameter are analyzed. The value of the chirality parameter is set such that it simultaneously supports modes of negative and positive phase velocities. Present work is an extension of the previous work, in which the chiral medium supports only positive phase velocity. Using the previous derived expressions, line plots in the focal region are obtained.

Citation


Tariq Rahim, Muhammad Junaid Mughal, Qaisar Naqvi, and Muhammad Faryad, "Paraboloidal Reflector in Chiral Medium Supporting Simultaneously Positive Phase Velocity and Negative Phase Velocity," Progress In Electromagnetics Research, Vol. 92, 223-234, 2009.
doi:10.2528/PIER09031809
http://test.jpier.org/PIER/pier.php?paper=09031809

References


    1. Lakhtakia, A., M. W. McCall, W. S. Weiglhofer, J. Gerardin, and J. Wang, "On mediums with negative phase velocity: A brief overview," Arch. Elektr. Ueber., Vol. 56, 407-410, 2002.

    2. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Usp., Vol. 10, No. 4, 509-514, 1968.
    doi:10.1070/PU1968v010n04ABEH003699

    3. Smith, D. R., W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett., Vol. 84, 4184-4187, 2000.
    doi:10.1103/PhysRevLett.84.4184

    4. Depine, R. A. and A. Lakhtakia, "A new condition to identify isotropic dielectric-magnetic materials displaying negative phase velocity," Microw. Opt. Technol. Lett., Vol. 41, 315-316, 2004.
    doi:10.1002/mop.20127

    5. Mackay, T. G. and A. Lakhtakia, "Plane waves with negative phase velocity in Faraday chiral mediums," Phys. Rev. E, Vol. 69, 026602, 2004.
    doi:10.1103/PhysRevE.69.026602

    6. Mackay, T. G., "Plane waves with negative phase velocity in isotropic chiral mediums," Microwave Opt. Technol. Lett., Vol. 45, 120-121, 2005.
    doi:10.1002/mop.20742

    7. Mackay, T. G. and A. Lakhtakia, "Simultaneous negativeand positive-phase velocity propagation in an isotropic chiral medium," Microwave Opt. Technol. Lett., Vol. 49, 1245-1246, 2007.
    doi:10.1002/mop.22434

    8. Felson, L. B., Hybrid Formulation of Wave Propagation and Scattering, Nato ASI Series, Martinus Nijhoff, Dordrecht, The Netherlands, 1984.

    9. Dechamps, G. A., "Ray techniques in electromagnetics," Proc. IEEE, Vol. 60, 1022-1035, 1972.
    doi:10.1109/PROC.1972.8850

    10. Chapman, C. H. and R. Drummond, "Body wave seismograms in inhomogeneous media using Maslov asymptotic theory," Bull. Seismol. Soc. Am., Vol. 72, 277-317, 1982.

    11. Maslov, V. P., "Perturbation theory and asymptotic methods," Moskov. Gos. Univ., Gos. Univ., Moscow, Russian, 1965. (Translated into Japanese by Ouchi et al., Iwanami).

    12. Maslov, V. P. and V. E. Nazaikinski, "Asymptotic of operator and pseudo-differential equations," Consultants Bureau, N.Y., 1988.

    13. Rahim, T., M. J. Mughal, Q. A. Naqvi, and M. Faryad, "Field around the focal region of a paraboloidal reflector placed in chiral medium,", submitted for publication.

    14. Ghaffar, A., Q. A. Naqvi, and K. Hongo, "Analysis of the fields in three dimensional Cassegrain system," Progress In Electromagnetics Research, PIER 72, 215-240, 2007.

    15. Hussain, A., Q. A. Naqvi, and K. Hongo, "Radiation characteristics of the Wood lens using Maslov's method," Progress In Electromagnetics Research, PIER 73, 107-129, 2007.

    16. Ji, Y. and K. Hongo, "Analysis of electromagnetic waves refracted by a spherical dielectric interface by Maslov's method," J. Opt. Soc. Am. A, Vol. 8, 541-548, 1991.
    doi:10.1364/JOSAA.8.000541

    17. Ji, Y. and K. Hongo, "Field in the focal region of a dielectric spherical by Maslov's method," J. Opt. Soc. Am. A, Vol. 8, 1721-1728, 1991.
    doi:10.1364/JOSAA.8.001721

    18. 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 Sci., Vol. 21, No. 6, 911-919, 1986.
    doi:10.1029/RS021i006p00911

    19. Hongo, K. and Y. Ji, "High frequency expression for the field in the caustic region of a cylindrical reflector using Maslov's method," Radio Sci., Vol. 22, No. 3, 357-366, 1987.
    doi:10.1029/RS022i003p00357

    20. Hongo, K. and Y. Ji, "Study of the field around the focal region of spherical reflector antenna by Maslov's method," IEEE Trans. Antennas Propagat., Vol. 36, 592-598, May 1988.
    doi:10.1109/8.192134

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

    22. Faryad, M. and Q. A. Naqvi, "High frequency expression for the field in the caustic region of cylindrical reflector placed in chiral medium," Progress In Electromagnetics Research, PIER 76, 153-182, 2007.

    23. Faryad, M. and Q. A. Naqvi, "High frequency expression for the field in the caustic region of a parabolic reflector coated with isotropic chiral medium," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 7, 965-986, 2008.
    doi:10.1163/156939308784150092

    24. Faryad, M. and Q. A. Naqvi, "Cylindrical reflector in chiral medium supporting simultaneously positive phase velocity and negative phase velocity," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 4, 563-572, 2008.
    doi:10.1163/156939308784150344

    25. Ghaffar, A., A. Hussain, Q. A. Naqvi, and K. Hongo, "Radiation characteristics of an inhomogeneous slab using Maslov's method," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 2, 301-312, 2008.
    doi:10.1163/156939308784160695

    26. Aziz, A., A. Ghaffar, Q. A. Naqvi, and K. Hongo, "Analysis of the fields in two dimensional Gregorian system," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 1, 85-97, 2008.
    doi:10.1163/156939308783122733

    27. Aziz, A., Q. A. Naqvi, and K. Hongo, "Analysis of the fields in two dimensional Cassegrain system," Progress In Electromagnetics Research, PIER 71, 227-241, 2007.

    28. Ghaffar, A., A. Rizvi, and Q. A. Naqvi, "Field in the focal space of symmetrical hyperboloidal focusing lens," Progress In Electromagnetics Research, PIER 89, 255-273, 2009.

    29. Balanis, C. A., Advanced Engineering Electomagnetics, John Wiley and Sons, 1989.

    30. Lakhtakia, A., Beltrami Fields in Chiral Media, Contemporary Chemical Physics , World Scientific Series, 1994.

    31. Lakhtakia, A., V. K. Varadan, and V. V. Varadan (eds.), Time Harmonic Electromagnetic Fields in Chiral Media, Springer, Berlin, 1989.

    32. Jaggard, D. L., X. Sun, and N. Engheta, "Canonical sources and duality in chiral media," IEEE Trans. Antennas Propagat., Vol. 36, 1007-1013, 1988.
    doi:10.1109/8.7205

    33. Jaggard, D. L., A. R. Mickelson, and C. H. Papas, "On electromagnetic waves in chiral media," Appl. Phys., Vol. 18, 211-216, 1978.

    34. Engheta, N. and D. L. Jaggard, "Electromagnetic chirality and its applications," IEEE Antennas Propagat. Soc. Newslett, Vol. 30, 612, 1988.

    35. Lakhtakia, A., V. K. Varadan, and V. V. Varadan, "Field equations, huygenss principle, integral equations, and theorems for radiation and scattering of electro-magnetic waves in isotropic chiral media," J. Opt. Soc. Am. A, Vol. 5, 175-184, 1988.
    doi:10.1364/JOSAA.5.000175

    36. Bassiri, S., "Electromagnetic waves in chiral media," Recent Advances in Electromagnetic Theory, H. N. Kritikos and D. L. Jaggard (eds.), Springer-Verlag, New York, 1990.

    37. Engheta, N., "Special issue on wave interaction with chiral and complex media," Journal of Electromagnetic Waves and Applications, Vol. 6, Nos. 5-6, 771-793, 1992.

    38. Lindell, I. V., A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-Isotropic Media., Artech House, MA, 1994.

    39. Mariotte, F., P. Pelet, and N. Engheta, "A reweiw of the recent study of guided waves in chiral medium," Progress In Electromagnetics Research, PIER 9, 311-350, 1994.