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2010-04-07
Focal Region Fields of Gregorian System Placed in Homogeneous Chiral Medium
By
Progress In Electromagnetics Research M, Vol. 11, 241-256, 2010
Abstract
This work presents the derivation of high frequency electromagnetic field expressions for two dimensional Gregorian system embedded in a chiral medium. Two cases have been analyzed. Firstly, the chirality parameter is adjusted to support positive phase velocity (PPV) for both left circularly polarized (LCP) and right circularly polarized (RCP) modes traveling in the medium. Secondly, the chirality is adjusted in such a way that one mode travels with PPV and other with negative phase velocity (NPV). Method proposed by Maslov is used, for finding the field expressions, to overcome the problem of Geometrical Optics (GO) because GO fails at caustics. The results for both the cases are given in the paper.
Citation
Muhammad Qasim Mehmood, Muhammad Junaid Mughal, and Tariq Rahim, "Focal Region Fields of Gregorian System Placed in Homogeneous Chiral Medium," Progress In Electromagnetics Research M, Vol. 11, 241-256, 2010.
doi:10.2528/PIERM10031104
References

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

2. 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

3. 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.

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

5. Maslov, V. P., Perturbation Theory and Asymptotic Methods, Izdat. Moskov. Gos. Univ., Moscow, 1965 (in Russian). Translated into Japanese by Ouchi et al., Iwanami.

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

7. 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

8. 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

9. 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

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

11. Rahim, T., M. J. Mughal, M. Faryad, and Q. A. Naqvi, "Fields 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. Rahim, T., M. J. Mughal, M. Faryad, and Q. A. Naqvi, "Focal region field of a paraboloidal reflector coated with isotropic chiral medium," Progress In Electromagnetics Research, Vol. 94, 351-366, 2009.
doi:10.2528/PIER09032703

13. Rahim, T., M. J. Mughal, and Q. A. Naqvi, "Focal region field of Perfect Electromagnetic Conductor (PEMC) paraboloidal reflector placed in homogeneous chiral medium," Progress In Electromagnetics Research M, Vol. 8, 143-152, 2009.
doi:10.2528/PIERM09052104

14. Rahim, T., M. J. Mughal, and Q. A. Naqvi, "PEMC paraboloidal reflector in chiral medium supporting simultaneously positive phase velocity and negative phase velocity simultaneously," Progress In Electromagnetics Research Letters, Vol. 10, 77-86, 2009.
doi:10.2528/PIERL09052103

15. Rahim, T. and M. J. Mughal, "Analysis of the high frequency field expressions at the caustic region of a spherical reflector placed in chiral medium," Journal of infrared, Millimeter and Terahertz waves, Vol. 31, 380-390, 2009.

16. Rahim, T. and M. J. Mughal, "Spherical reflector in chiral medium supporting positive phase velocity and negative phase velocity simultaneously," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 11-12, 1665-1673, 2009.

17. 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, 23-26, January 1989.
doi:10.1364/JOSAA.6.000023

18. 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

19. 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

20. Aziz, A., A. Ghaffar, and Q. A. Naqvi, "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