Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 81 > pp. 267-277


By S. Qiao, G. Zheng, H. Zhang, and L.-X. Ran

Full Article PDF (1,779 KB)

The transition behavior of the k-surface of a lossy anisotropic indefinite slab is investigated. It is found that, if the material loss is taken into account, the k-surface does not show a sudden change from hyperbola to the ellipse when one principle element of the permittivity tensor changes from negative to positive. In fact, after introducing a small material loss, the shape of the k-surface can be a combination of a hyperbola and an ellipse, and a selective high directional transmission can be obtained in such a slab.

S. Qiao, G. Zheng, H. Zhang, and L.-X. Ran, "Transition behavior of k-surface: from hyperbola to ellipse," Progress In Electromagnetics Research, Vol. 81, 267-277, 2008.

1. Veselago, V., "The electrodynamics of substances with simultaneously negative values of epsilon and miu," Soviet Phys. Usp., Vol. 10, 509-514, 1968.

2. Shelby, R., D. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, 77-79, 2001.

3. Engheta, N., "An idea for thin subwavelength cavity resonators using metamaterials with negative permittivity and permeability," IEEE Antennas Wireless Propagation Letter, Vol. 1, 10-13, 2002.

4. Pendry, J. B., "Negative refraction makes a perfect lens," Phys. Rev. Lett., Vol. 85, 3966-3969, 2000.

5. Smith, D. R. and D. Schuring, "Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors," Phys. Rev. Lett., Vol. 90, 077405, 2003.

6. Garrett, C. G. B. and D. E. McCumber, "Propagation of a gaussian light pulse through an anomalous dispersion medium," Phys. Rev. A, Vol. 1, 1970.

7. Dolling, G., C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, "Simultaneous negative phase and group velocity of light in a metamaterial," Science, Vol. 312, 892-894, 2006.

8. Enoch, S., et al., "A metamaterial for directive emission," Phys. Rev. Lett., Vol. 89, 213902, 2002.

9. Sun, J., W. Sun, T. Jiang, and Y. Feng, "Directive electromagnetic radiation of a line source scattered by a conducting cylinder coated with left-handed metamaterial," Microwave Opt. Technol Lett., Vol. 47, No. 3, 274-279, 2005.

10. Wu, B.-I., et al., "Anisotropic metamaterials as antenna substrate to enhance directivity," Microwave and Optical Tech. Lett., Vol. 48, No. 4, 680-683, 2006.

11. Pendry, J. B., A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmas in metallic mesostructures," Phys. Rev. Lett., Vol. 76, 1996.

12. Parazzoli, C. G., R. B. Greegor, K. Li, B. E. C. Koltenbah, and M. Tanielian, "Experimental verification and simulation of negative index of refraction using Snell's law," Phys. Rev. Lett., Vol. 90, 107401, 2003.

13. Podolskiv, V. A. and E. E. Narimanov, "Strongly anisotropic waveguide as a non-magnetic left-handed system," Phys. Rev. B, Vol. 71, 201101, 2005.

14. Zhong, Y., et al., "Reflection and refraction on the boundary of left-handed material with a hyperbolic dispersion relation," Chin. Phys. Lett., Vol. 23, No. 5, 2006.

15. Grzegorczyk, T. M., M. Nikku, X. Chen, B.-I.Wu, and J. A. Kong, "Refraction laws for anisotropic media and their application to left-handed metamaterial," IEEE Transaction on Microwave Theory and Techniques, Vol. 53, No. 4, 2005.

16. Kong, J. A., Electromagnetic Wave Theory, Wiley and Sons, 1986, 1990, EMW Publishing, 2000, 2005.

17. Jacob, Z., L. V.Alekseyev, and E. Narimanov, "Optical hyperlens: Far-field imaging beyond the diffraction limit," Optics Express, Vol. 14, No. 18, 8247-8256, 2006.

18. Salandrino, A. and N. Engheta, "Far-field subdiffraction optical microscopy using metamaterial crystals: Theory and simulation," Phys. Rev. B, Vol. 74, 075103, 2006.

19. Liu, Z., H. Lee, Y. Xiong, C. Sun, and X. Zhang, "Far-field optical hyperlens magnifying sub-diffraction-limited objects," Science, Vol. 315, 2007.

20. Chen, H., B.-I. Wu, and J. A. Kong, "Review of electromagnetic theory in left-handed materials," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 15, 2137-2151, 2006.

21. Grzegorczyk, T. M. and J. A. Kong, "Review of left-handed metamaterials: Evolution from theoretical and numerical studies to potential applications," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 14, 2053-2064, 2006.

22. Wongkasem, N., A. Akyurtlu, and K. A. Marx, "Group theory based design of isotropic negative refractive index metamaterials," Progress In Electromagnetics Research, Vol. 63, 295-310, 2006.

23. Oraizi, H. and A. Abdolali, "Combination of Mls, Ga & Cg for the reduction of Rcs of multilayered cylindrical structures composed of dispersive metamaterials," Progress In Electromagnetics Research B, Vol. 3, 227-253, 2008.

24. Zainud-Deen, S. H., A. Z. Botros, and M. S. Ibrahim, "Scattering from bodies coated with metamaterial using FDFD method," Progress In Electromagnetics Research B, Vol. 2, 279-290, 2008.

25. Lagarkov, A. N., V. N. Kisel, and V. N. Semenenko, "Wideangle absorption by the use of a metamaterial plate," Progress In Electromagnetics Research Letters, Vol. 1, 35-44, 2008.

26. Valagiannopoulos, C. A., "Electromagnetic scattering from two eccentric metamaterial cylinders with frequency-dependent permittivities differing slightly each other," Progress In Electromagnetics Research B, Vol. 3, 23-34, 2008.

27. Liu, S.-H., C.-H. Liang, W. Ding, L. Chen, and W.-T. Pan, "Electromagnetic wave propagation through a slab waveguide of uniaxially anisotropic dispersive metamaterial," Progress In Electromagnetics Research, Vol. 76, 467-475, 2007.

28. Weng, Z.-B., Y.-C. Jiao, G. Zhao, and F.-S. Zhang, "Design and experiment of one dimension and two dimension metamaterial structures for directive emission," Progress In Electromagnetics Research, Vol. 70, 199-209, 2007.

29. Guo, Y. and R. M. Xu, "Planar metamaterials supporting multiple left-handed modes," Progress In Electromagnetics Research, Vol. 66, 239-251, 2006.

30. Hudlicka, M., J. Machac, and I. S. Nefedov, "A triple wire medium as an isotropic negative permittivity metamaterial," Progress In Electromagnetics Research, Vol. 65, 233-246, 2006.

© Copyright 2014 EMW Publishing. All Rights Reserved