2013-05-08
Focusing, Power Tunneling and Rejection from Chiral and/or Chiral Nihility/Nihility Metamaterials Layers
By
Progress In Electromagnetics Research B, Vol. 51, 367-388, 2013
Abstract
Focusing of electromagnetic plane wave from a large paraboloidal reflector, composed of layers of chiral and/or chiral nihility metamaterials, has been studied using Maslov's method. As a first step, the transmission and reflection of electromagnetic plane wave from two parallel layers of chiral and/or chiral nihility metamaterials are investigated using transfer matrix method. The effects of change of angle of incidence, chirality parameters and impedances of layers are noted and discussed. Special cases by taking extreme values of permittivity of second layer, while assuming value of corresponding chirality equal to zero, are also obtained for validating the methodology. These special cases are equivalent to reflection from a perfect electric conductor backed chiral layer and nihility backed chiral layer, respectively. Results of reflection from parallel layers have been utilized to study focusing from a large paraboloidal reflector. The present study, on focusing from a paraboloidal reflector, not only unifies already published work by various researchers but also provides better understanding of the problem.
Citation
Syed Touseef Hussain Shah, Faiz Ahmad, Nayyar Abbas Shah, Aqeel Abbas Syed, and Qaisar Abbas Naqvi, "Focusing, Power Tunneling and Rejection from Chiral and/or Chiral Nihility/Nihility Metamaterials Layers," Progress In Electromagnetics Research B, Vol. 51, 367-388, 2013.
doi:10.2528/PIERB13030705
References

1. Arago, D. F., "Sur une modification remarquable qu' eprouvent les rayons lumineux dans leur passage a travers certains corps diaphanes, et sur quelques autres nouveaux phenomnnes d'optique," Mem. Inst., Vol. 1, 93-134, 1811.        Google Scholar

2. Biot, J. B., "Phenomenes de polarisation successive, observs dans des fluides homogenes," Bull. Soc. Philomath., 190-192, 1815.        Google Scholar

3. Fresnel, A., "Memoire sur la double refraction que les rayons lumineux eprouvent en traversant les aiguilles de cristal de roche suivant des directions paralleles a l'axe," Oeuvres, Vol. 1, 731-751, 1822.        Google Scholar

4. Biot, J. B., "Memoire sur la polarisation circulaire et sur ses applications a la chimie organique," Mem. Acad. Sci., Vol. 13, 39-175, 1835.        Google Scholar

5. Lindman, K. F., "Ober eine durch ein isotropes system von spiralformigen resonatoren erzeugte rotationspolarisation der elektromagnetischen wellen," Ann. Phys., Vol. 63, 621-644, 1920.
doi:10.1002/andp.19203682303        Google Scholar

6. Lindman, K. F., "Uber die durch ein aktives raumgitter erzeugte rotationspolarisation der elektromagnetischen wellen," Ann. Phys., Vol. 69, 270-284, 1922.
doi:10.1002/andp.19223742004        Google Scholar

7. Jaggard, D. L., A. R. Mickelson, and C. H. Papas, "On electromagnetic waves in chiral media," Appl. Phys., Vol. 18, 211-216, 1979.
doi:10.1007/BF00934418        Google Scholar

8. Lindell, I. V., A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-isotropic Media, Artech House, Boston, 1994.

9. Bassiri, S., C. H. Papas, and N. Engheta, "Electromagnetic wave propagation through a dielectric-chiral interface and through a chiral slab," J. Opt. Soc. of Am. A, Vol. 5, 1450-1459, 1988.
doi:10.1364/JOSAA.5.001450        Google Scholar

10. Lakhtakia, A., Beltrami Fields in Chiral Media, World Scientific, Singapore, 1994.

11. Lamb, H., "On group-velocity," Proc. London Math. Soc., Vol. 1, 473-479, 1904.

12. Schuster, A. and An Introduction to the Theory of Optics, , Edward Arnold, London, 1904.

13. Pocklington, H. C., "Growth of a wave-group when the group velocity is negative," Nature, Vol. 71, 607-608, 1905.
doi:10.1038/071607b0        Google Scholar

14. Malyuzhinets, G. D., "A note on the radiation principle," Zh. Tekh. Fiz., Vol. 21, 940-942, 1951.        Google Scholar

15. Sivukhin, D. V., "The energy of electromagnetic waves in dispersive media," Opt. Spektrosk., Vol. 3, 308-312, 1957.        Google Scholar

16. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of permittivity and permeability," Sov. Phys. Usp., Vol. 10, 509-514, 1968.
doi:10.1070/PU1968v010n04ABEH003699        Google Scholar

17. Qiu, C. W., H. Y. Yao, S. Zouhdi, L. W. Li, and M. S. Leong, "On the constitutive relations of G-chiral media and the possibility to realize negative-index media," Microwave Opt. Technol. Lett., Vol. 48, 2534-2538, 2006.
doi:10.1002/mop.21981        Google Scholar

18. Tretyakov, S., A. Sihvola, and L. Jylh, "Backward-wave regime and negative refraction in chiral composites," Photonics Nanostruct. Fundam. Appl., Vol. 3, 107-115, 2005.
doi:10.1016/j.photonics.2005.09.008        Google Scholar

19. Pendry, J. B., A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Phys. Rev. Lett., Vol. 76, 4773-4776, 1996.
doi:10.1103/PhysRevLett.76.4773        Google Scholar

20. Pendry, J. B., "A chiral route to negative refraction," Science, Vol. 306, 1353-1355, 2004.
doi:10.1126/science.1104467        Google Scholar

21. Qiu, C. W., H. Y. Yao, L. W. Li, S. Zouhdi, and T. S. Yeo, "Routes to left-handed materials by magnetoelectric couplings," Phys. Rev. B, Vol. 75, 245214, 2007.
doi:10.1103/PhysRevB.75.245214        Google Scholar

22. Zhang, S., Y. S. Park, J. Li, X. Lu, W. Zhang, and X. Zhang, "Negative refractive index in chiral metamaterials," Phys. Rev. Lett., Vol. 102, 023901, 2009.
doi:10.1103/PhysRevLett.102.023901        Google Scholar

23. 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

24. Lakhtakia, A., "An electromagnetic trinity from negative permittivity and negative permeability," Int. J. Inf. and Mil. Wav., Vol. 22, 1731-1734, 2001.
doi:10.1023/A:1015068715023        Google Scholar

25. Tretyakov, S., I. Nefedov, A. H. Sihvola, S. Maslovki, and C. Simovski, "Waves and energy in chiral nihility," Journal of Electromagnetic Waves and Applications, Vol. 17, No. 5, 695-706, 2003.
doi:10.1163/156939303322226356        Google Scholar

26. Naqvi, Q. A., "Planar slab of chiral nihility metamaterial backed by fractional dual/PEMC interface," Progress In Electromagnetics Research, Vol. 85, 381-391, 2008.
doi:10.2528/PIER08081201        Google Scholar

27. Baqir, M. A., A. A. Syed, and Q. A. Naqvi, "Electromagnetic fields in a circular waveguide containing chiral nihility metamaterial," Progress In Electromagnetics Research M, Vol. 16, 85-93, 2011.        Google Scholar

28. Balanis, C. A., Advanced Engineering Electromagnetics, 2nd Ed., John Willey and Sons, 2012.

29. Cheng, D. K., Fields and Wave Electromagnetics, Addison-Wesley, New York, 1989.

30. Qiu, C. W., N. Burokur, S. Zouhdi, and L. W. Li, "Chiral nihility effects on energy flow in chiral materials," J. Opt. Soc. of Am., Vol. 25, 55-63, 2008.        Google Scholar

31. Ahmad, F., S. N. Ali, A. A. Syed, and Q. A. Naqvi, "Chiral and/or chiral nihility interfaces: Parametric dependence, power tunneling and rejection," Progress In Electromagnetics Research M, Vol. 23, 167-180, 2012.
doi:10.2528/PIERM11120104        Google Scholar

32. Felson, L. B., Hybrid Formulation of Wave Propagation and Scattering, Nato Science Series E, Martinus Nijho, Dordrecht, Netherlands, 1984.

33. Dechamps, G. A., "Ray techniques in electromagnetics," Proc. IEEE, Vol. 60, 1022-1035, 1972.

34. 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.        Google Scholar

35. Maslov, V. P., Perturbation theory and asymptotic method, Gos. Moskov. Univ., Moscow, 1965 (in Russian), Translated into Japanese by Ouchi et al., Iwanami, Tokyo, 1976.

36. 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

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

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

39. Hongo, K., 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, 911-919, 1986.
doi:10.1029/RS021i006p00911        Google Scholar

40. 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, 357-366, 1987.
doi:10.1029/RS022i003p00357        Google Scholar

41. Hongo, K. and Y. Ji, "Study of the field around the focal region of spherical reflector antenna by Maslovs method," IEEE Trans. Antennas Propagat., Vol. 36, 592-598, 1988.
doi:10.1109/8.192134        Google Scholar

42. 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

43. 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

44. 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        Google Scholar

45. Rahim, T., M. J. Mughal, Q. A. Naqvi, and M. Faryad, "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        Google Scholar

46. Illahi, A. and Q. A. Naqvi, "Study of focusing of electromagnetic waves re°ected by a PEMC backed chiral nihility reflector using Maslov's method," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 7, 863-873, 2009.
doi:10.1163/156939309788355216        Google Scholar

47. Sabah, C. and S. Uckun, "Mirrors with chiral slabs," Journal of Optoelectronics and Advanced Materials, Vol. 8, 1918-1924, 2006.        Google Scholar