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2009-07-28
PEMC Paraboloidal Reflector in Chiral Medium Supporting Positive Phase Velocity and Negative Phase Velocity Simultaneously
By
Progress In Electromagnetics Research Letters, Vol. 10, 77-86, 2009
Abstract
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.
Citation
Tariq Rahim, Muhammad Junaid Mughal, and Qaisar Abbas Naqvi, "PEMC Paraboloidal Reflector in Chiral Medium Supporting Positive Phase Velocity and Negative Phase Velocity Simultaneously," Progress In Electromagnetics Research Letters, Vol. 10, 77-86, 2009.
doi:10.2528/PIERL09052103
References

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

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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, May 1988.
doi:10.1109/8.192134        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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.        Google Scholar

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        Google Scholar

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        Google Scholar

22. Lakhtakia, A., V. K. Varadan, and V. V. Varadan (eds.), Time Harmonic Electromagnetic Fields in Chiral Media, Springer, 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.        Google Scholar