Vol. 92
Latest Volume
All Volumes
PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2009-04-30
Paraboloidal Reflector in Chiral Medium Supporting Simultaneously Positive Phase Velocity and Negative Phase Velocity
By
Progress In Electromagnetics Research, Vol. 92, 223-234, 2009
Abstract
Focused high frequency electromagnetic waves reflected from a PEC paraboloidal surface placed in homogeneous, reciprocal and isotropic medium with high chirality parameter are analyzed. The value of the chirality parameter is set such that it simultaneously supports modes of negative and positive phase velocities. Present work is an extension of the previous work, in which the chiral medium supports only positive phase velocity. Using the previous derived expressions, line plots in the focal region are obtained.
Citation
Tariq Rahim, Muhammad Junaid Mughal, Qaisar Naqvi, and Muhammad 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
References

1. 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.

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

3. 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

4. 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

5. 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

6. 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

7. Mackay, T. G. and A. Lakhtakia, "Simultaneous negativeand positive-phase velocity propagation in an isotropic chiral medium," Microwave Opt. Technol. Lett., Vol. 49, 1245-1246, 2007.
doi:10.1002/mop.22434

8. Felson, L. B., Hybrid Formulation of Wave Propagation and Scattering, Nato ASI Series, Martinus Nijhoff, Dordrecht, The Netherlands, 1984.

9. Dechamps, G. A., "Ray techniques in electromagnetics," Proc. IEEE, Vol. 60, 1022-1035, 1972.
doi:10.1109/PROC.1972.8850

10. Chapman, C. H. and R. Drummond, "Body wave seismograms in inhomogeneous media using Maslov asymptotic theory," Bull. Seismol. Soc. Am., Vol. 72, 277-317, 1982.

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

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

13. Rahim, T., M. J. Mughal, Q. A. Naqvi, and M. Faryad, "Field around the focal region of a paraboloidal reflector placed in chiral medium,", submitted for publication.

14. Ghaffar, A., Q. A. Naqvi, and K. Hongo, "Analysis of the fields in three dimensional Cassegrain system," Progress In Electromagnetics Research, PIER 72, 215-240, 2007.

15. Hussain, A., Q. A. Naqvi, and K. Hongo, "Radiation characteristics of the Wood lens using Maslov's method," Progress In Electromagnetics Research, PIER 73, 107-129, 2007.

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

17. Ji, Y. and K. Hongo, "Field in the focal region of a dielectric spherical by Maslov's method," J. Opt. Soc. Am. A, Vol. 8, 1721-1728, 1991.
doi:10.1364/JOSAA.8.001721

18. Hongo, K., Y. Ji, and E. Nakajima, "High frequency expression for the field in the caustic region of a reflector using Maslov's method," Radio Sci., Vol. 21, No. 6, 911-919, 1986.
doi:10.1029/RS021i006p00911

19. Hongo, K. and Y. Ji, "High frequency expression for the field in the caustic region of a cylindrical reflector using Maslov's method," Radio Sci., Vol. 22, No. 3, 357-366, 1987.
doi:10.1029/RS022i003p00357

20. 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

21. 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

22. 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, PIER 76, 153-182, 2007.

23. Faryad, M. and Q. A. Naqvi, "High frequency expression for the field in the caustic region of a parabolic reflector coated with isotropic chiral medium," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 7, 965-986, 2008.
doi:10.1163/156939308784150092

24. 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

25. Ghaffar, A., A. Hussain, Q. A. Naqvi, and K. Hongo, "Radiation characteristics of an inhomogeneous slab using Maslov's method," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 2, 301-312, 2008.
doi:10.1163/156939308784160695

26. Aziz, A., A. Ghaffar, Q. A. Naqvi, and K. Hongo, "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

27. Aziz, A., Q. A. Naqvi, and K. Hongo, "Analysis of the fields in two dimensional Cassegrain system," Progress In Electromagnetics Research, PIER 71, 227-241, 2007.

28. Ghaffar, A., A. Rizvi, and Q. A. Naqvi, "Field in the focal space of symmetrical hyperboloidal focusing lens," Progress In Electromagnetics Research, PIER 89, 255-273, 2009.

29. Balanis, C. A., Advanced Engineering Electomagnetics, John Wiley and Sons, 1989.

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

31. Lakhtakia, A., V. K. Varadan, and V. V. Varadan (eds.), Time Harmonic Electromagnetic Fields in Chiral Media, Springer, Berlin, 1989.

32. Jaggard, D. L., X. Sun, and N. Engheta, "Canonical sources and duality in chiral media," IEEE Trans. Antennas Propagat., Vol. 36, 1007-1013, 1988.
doi:10.1109/8.7205

33. Jaggard, D. L., A. R. Mickelson, and C. H. Papas, "On electromagnetic waves in chiral media," Appl. Phys., Vol. 18, 211-216, 1978.

34. Engheta, N. and D. L. Jaggard, "Electromagnetic chirality and its applications," IEEE Antennas Propagat. Soc. Newslett, Vol. 30, 612, 1988.

35. Lakhtakia, A., V. K. Varadan, and V. V. Varadan, "Field equations, huygenss principle, integral equations, and theorems for radiation and scattering of electro-magnetic waves in isotropic chiral media," J. Opt. Soc. Am. A, Vol. 5, 175-184, 1988.
doi:10.1364/JOSAA.5.000175

36. Bassiri, S., "Electromagnetic waves in chiral media," Recent Advances in Electromagnetic Theory, H. N. Kritikos and D. L. Jaggard (eds.), Springer-Verlag, New York, 1990.

37. Engheta, N., "Special issue on wave interaction with chiral and complex media," Journal of Electromagnetic Waves and Applications, Vol. 6, Nos. 5-6, 771-793, 1992.

38. Lindell, I. V., A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-Isotropic Media., Artech House, MA, 1994.

39. Mariotte, F., P. Pelet, and N. Engheta, "A reweiw of the recent study of guided waves in chiral medium," Progress In Electromagnetics Research, PIER 9, 311-350, 1994.