2010-11-04
Analysis of Focal Region Fields of PEMC Gregorian System Embedded in Homogeneous Chiral Medium
By
Progress In Electromagnetics Research Letters, Vol. 18, 155-163, 2010
Abstract
This paper presents the high frequency electromagnetic field expressions for perfect electromagnetic conductor (PEMC) Gregorian system. In this Gregorian system both the reflectors are PEMC and are embedded in homogenous chiral medium. Depending upon the values of chirality parameter (kβ) two cases are analyzed. In the first case, chiral medium supports positive phase velocity (PPV) for both the left circularly polarized (LCP) and right circularly polarized (RCP) modes. In the second case, chiral medium supporting PPV for one mode and negative phase velocity (NPV) for the other mode is taken into account. Since geometrical optics (GO) fails at the focal point, so Maslov's method is used to find the field expressions at the focal point. Field plots for different values of admittance (M) of the PEMC and the chirality parameter (kβ) are given in the paper.
Citation
Muhammad Qasim Mehmood, and Muhammad Junaid Mughal, "Analysis of Focal Region Fields of PEMC Gregorian System Embedded in Homogeneous Chiral Medium," Progress In Electromagnetics Research Letters, Vol. 18, 155-163, 2010.
doi:10.2528/PIERL10100301
References

1. Lindell, I. V. and A. H. Sihola, "Realization of the PEMC boundary," IEEE Trans. on Ant. and Propag., Vol. 53, No. 9, September 2005.        Google Scholar

2. Lindell, I. V. and A. H. Sihvola, "Perfect electromagnetic conductor," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 7, 861-869, 2005.
doi:10.1163/156939305775468741        Google Scholar

3. Lindell, I. V. and A. H. Sihola, "Transformation method for problems involing perfect electromagnetic conductor (PEMC) structures," IEEE Trans. on Ant. and Propag., Vol. 53, 3005-3011, 2005.
doi:10.1109/TAP.2005.854519        Google Scholar

4. Fiaz, M. A., A. Aziz, A. Ghaffar, and Q. A. Naqvi, "High-frequency expression for the field in the caustic region of a PEMC Gregorian system using Maslov's method," Progress In Electromagnetics Research, Vol. 81, 135-148, 2008.
doi:10.2528/PIER08010901        Google Scholar

5. Zouhdi, S., A. Sihvola, and A. P. Vinogradov, Metamaterials and Plasmonics: Fundamentals, Modelling, Applications, 2008.

6. Mackay, T. G. and A. Lakhtakia, "Simultaneously 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

7. Lakhtakia, A., "Beltrami fields in chiral media," Contemporary Chemical Physics, World Scientific Series, 1994.        Google Scholar

8. Mehmood, M. Q., M. J. Mughal, and T. Rahim, "Focal region fields of Cassegrain system embedded in chiral medium," Progress In Electromagnetic Research B, Vol. 21, 329-346, 2010.        Google Scholar

9. Qiu, C. W., N. Burokur, S. Zouhdi, and L. W. Li, "Chiral nihility effects on energy flow in chiral materials," J. Opt. Soc. Am. A, Vol. 25, No. 1, 53-63, 2008.
doi:10.1364/JOSAA.25.000055        Google Scholar

10. Tuz, V. R. and C.-W. Qiu, "Semi-infinite chiral nihility photonics: Parametric dependence, wave tunneling and rejection," Progress In Electromagnetics Research, Vol. 103, 139-152, 2010.
doi:10.2528/PIER10030706        Google Scholar

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

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

13. Waqas, M., M. Faryad, and Q. A. Naqvi, "Analysis of high frequency field of Perfect Electromagnetic Conductor (PEMC) parabolic re°ector placed in homogeneous chiral medium," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 14-15, 1931-1941, 2008.
doi:10.1163/156939308787537964        Google Scholar

14. 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

15. Mehmood, M. Q., M. J. Mughal, and T. Rahim, "Focal region fields of Gregorian system embedded in chiral medium," Progress In Electromagnetic Research M, Vol. 11, 241-256, 2010.
doi:10.2528/PIERM10031104        Google Scholar

16. Lakhtakia, A., V. V. Varadan, and V. K. Varadan, "What happens to plane waves at the planar interfaces of mirror conjugated chiral media," Journal of the Optical Society of America A: Optics, Image Science, and Vision, Vol. 6, No. 1, 2326, January 1989.
doi:10.1364/JOSAA.6.000023        Google Scholar