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Progress In Electromagnetics Research Letters
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PEMC PARABOLOIDAL REFLECTOR IN CHIRAL MEDIUM SUPPORTING POSITIVE PHASE VELOCITY AND NEGATIVE PHASE VELOCITY SIMULTANEOUSLY

By T. Rahim, M. J. Mughal, and Q. A. Naqvi

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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:
T. Rahim, M. J. Mughal, and Q. A. 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

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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