Focal region fields of a perfect electromagnetic conductor (PEMC) paraboloidal reflector placed in homogenous and reciprocal chiral medium are analyzed under the effect of high chirality parameter. The chiral medium supports both negative phase velocity (NPV) and positive phase velocity (PPV) modes simultaneously under strong electromagnetic coupling. The geometrical optics (GO) fields have singularities at the focal region. Therefore, to avoid these singularities Maslov's method is used for the focal region fields. The results obtained using this method are solved numerically, and line plots for the reflected field of the paraboloidal PEMC reflector are obtained for different values of admittance of the PEMC paraboloidal reflector and chirality parameter of the medium.
2. 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
3. Lindell, I. V. and A. H. Sihvola, "Realization of the PEMC boundary," IEEE Trans. Antennas Propagat., Vol. 53, 3012-3018, 2005.
doi:10.1109/TAP.2005.854524
4. Lindell, I. V. and A. H. Sihvola, "Transformation method for problems involing perfect electromagnetic conductor (PEMC) structures," IEEE Trans. Antennas Propagat., Vol. 53, 3005-3011, 2005.
doi:10.1109/TAP.2005.854519
5. 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
6. 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
7. 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
8. Mackay, T. G. and A. Lakhtakia, "Simultaneous negative and positive phase velocity propagation in an isotropic chiral medium," Microwave Opt. Technol. Lett., Vol. 49, 1245-1246, 2007.
doi:10.1002/mop.22434
9. Waqas, M., M. Faryad, and Q. A. Naqvi, "Analysis of high frequency field of perfect electromagnetic conductor (PEMC) parabolic reflector placed in homogenous chiral medium," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 14--15, 1931-1941, 2008.
doi:10.1163/156939308787537964
10. Rahim, T., M. J. Mughal, Q. A. Naqvi, and M. 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
11. Rahim, T., M. J. Mughal, Q. A. Naqvi, and M. Faryad, "Field around the focal region of a paraboloidal reflector placed in isotropic chiral medium," Progress In Electromagnetics Research B, Vol. 15, 57-76, 2009.
doi:10.2528/PIERB09031002
12. Ghaffar, A., Q. A. Naqvi, and K. Hongo, "Analysis of the fields in three dimensional Cassegrain system," Progress In Electromagnetics Research, Vol. 72, 215-240, 2007.
doi:10.2528/PIER07031602
13. Hussain, A., Q. A. Naqvi, and K. Hongo, "Radiation characteristics of the Wood lens using Maslov's method," Progress In Electromagnetics Research, Vol. 73, 107-129, 2007.
doi:10.2528/PIER07030302
14. 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, 1988.
doi:10.1109/8.192134
15. 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
16. 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, Vol. 76, 153-182, 2007.
doi:10.2528/PIER07070401
17. 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. 22, 563-572, 2008.
doi:10.1163/156939308784150344
18. Aziz, A., Q. A. Naqvi, and K. Hongo, "Analysis of the fields in two dimensional Cassegrain system," Progress In Electromagnetics Research, Vol. 71, 227-241, 2007.
19. Ghaffar, A., A. Rizvi, and Q. A. Naqvi, "Field in the focal space of symmetrical hyperboloidal focusing lens," Progress In Electromagnetics Research, Vol. 89, 255-273, 2009.
doi:10.2528/PIER08122207
20. Lakhtakia, A., Beltrami Fields in Chiral Media, World Scientific Series in Contemporary Chemical Physics, 1994.
21. Mackay, T. G. and A. Lakhtakia, "Negative refraction, negative phase velocity, and counterposition in bianisotropic materials and metamaterials," Phys. Rev. B., Vol. 79, 235121, 2009.
doi:10.1103/PhysRevB.79.235121
22. Lakhtakia, A., V. K. Varadan, and V. V. Varadan (eds.), Time Harmonic Electromagnetic Fields in Chiral Media, Springer, Berlin, 1989.
23. Mariotte, F., P. Pelet, and N. Engheta, "A reweiw of the ecent study of guided waves in chiral medium," Progress In Electromagnetics Research, Vol. 9, 311-350, 1994.
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