Search search
submit Submit
Publication Date
to
Vol. 81
Latest Volume
All Volumes
PIER 180 [2024] 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]
All Journals
PIER PIER B PIER C PIER M PIER Letters
2008-01-23
Transition Behavior of k -Surface: from Hyperbola to Ellipse
By
Shan Qiao,

    Dr. Shan Qiao

    Department of Information and Electronic Engineering

    Zhejiang University City College

    China

    Homepage

Guoan Zheng,

    Dr. Guoan Zheng

    Department of Electrical Engineering

    California Institute of Technology

    USA

    Homepage

Haifei Zhang,

    Dr. Haifei Zhang

    Zhejiang University

    China

    Homepage

Li-Xin Ran

    Professor Li-Xin Ran

    The Electromagnetics Academy at Zhejiang University

    Zhejiang Unviersity

    China

    Homepage

Progress In Electromagnetics Research, Vol. 81, 267-277, 2008
doi:10.2528/PIER08011104
Abstract
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.
Citation
Shan Qiao, Guoan Zheng, Haifei Zhang, and Li-Xin Ran, "Transition Behavior of k -Surface: from Hyperbola to Ellipse," Progress In Electromagnetics Research, Vol. 81, 267-277, 2008.
doi:10.2528/PIER08011104
References

1. Veselago, V., "The electrodynamics of substances with simultaneously negative values of epsilon and miu," Soviet Phys. Usp., Vol. 10, 509-514, 1968.
doi:10.1070/PU1968v010n04ABEH003699

2. Shelby, R., D. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, 77-79, 2001.
doi:10.1126/science.1058847

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.
doi:10.1109/LAWP.2002.802576

4. Pendry, J. B., "Negative refraction makes a perfect lens," Phys. Rev. Lett., Vol. 85, 3966-3969, 2000.
doi:10.1103/PhysRevLett.85.3966

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.
doi:10.1103/PhysRevLett.90.077405

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.
doi:10.1103/PhysRevA.1.305

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.
doi:10.1126/science.1126021

8. Enoch, S., G. Tayed, P. Sabouroux, et al. "A metamaterial for directive emission," Phys. Rev. Lett., Vol. 89, 213902, 2002.
doi:10.1103/PhysRevLett.89.213902

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.
doi:10.1002/mop.21145

10. Wu, B.-I., W. Wang, J. P., et al. "Anisotropic metamaterials as antenna substrate to enhance directivity," Microwave and Optical Tech. Lett., Vol. 48, No. 4, 680-683, 2006.
doi:10.1002/mop.21441

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.
doi:10.1103/PhysRevLett.76.4773

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.
doi:10.1103/PhysRevLett.90.107401

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.
doi:10.1103/PhysRevB.71.201101

14. Zhong, Y., L.-F. Shen, L.-X. Ran, 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, 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.
doi:10.1364/OE.14.008247

18. Salandrino, A. and N. Engheta, "Far-field subdiffraction optical microscopy using metamaterial crystals: Theory and simulation," Phys. Rev. B, Vol. 74, 075103, 2006.
doi:10.1103/PhysRevB.74.075103

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.
doi:10.1163/156939306779322585

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.
doi:10.1163/156939306779322620

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.
doi:10.2528/PIER06062103

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.
doi:10.2528/PIERB07120803

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.
doi:10.2528/PIERB07112803

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.
doi:10.2528/PIERL07111809

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.
doi:10.2528/PIERB07112906

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.
doi:10.2528/PIER07071905

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.
doi:10.2528/PIER07010301

29. Guo, Y. and R. M. Xu, "Planar metamaterials supporting multiple left-handed modes," Progress In Electromagnetics Research, Vol. 66, 239-251, 2006.
doi:10.2528/PIER06113001

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.
doi:10.2528/PIER06102703

Download Full Article (236) View Full Article volume
The EM Academy piers.org jpier.org Who's Who in EM
Copyright © 2022 The Electromagnetics Academy. All Rights Reserved.