Vol. 51
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]
2004-12-10
Some Reflections on Double Negative Materials
By
, Vol. 51, 1-26, 2005
Abstract
We study the energy conservation property and loss condition of a left-handed material (LHM). First we argue by energy conservation that an LHM has to be a backward-wave material (BWM). Then we derive the equivalence of the loss and the Sommerfeld far-field radiation conditions for BWM. Next, we solve the realistic Sommerfeld problem of a point source over an LHM half space and an LHM slab. With this solution, we elucidate the physics of the interaction of a point source with an LHM half space and an LHM slab. We interpret our observation with surface plasmon resonance at the interfaces as well as the resonance tunneling phenomenon. This analysis lends physical insight into the interaction of a point source field with an LHM showing that super-resolution beyond the diffraction limit is possible with a very low loss LHM slab.
Citation
Weng Cho Chew, "Some Reflections on Double Negative Materials," , Vol. 51, 1-26, 2005.
doi:10.2528/PIER04032602
References

1. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of permittivity and permeability," Soviet Physics USPEKI, Vol. 10, 1968.

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

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, 2000.

4. Smith, D. R. and N. Kroll, "Negative refractive index in left-handed material," Phys. Rev. Lett., Vol. 85, 2000.

5. Lindell, I. V., S. A. Tretyakov, K. I. Nikoskinen, and S. Ilvonen, "BW mediamedia with negative parameters, capable of supporting backward waves," Microwave and Optical Technology Letters, Vol. 31, No. 2, 129-133, 2001.
doi:10.1002/mop.1378

6. Caloz, C., C.-C. Chang, and T. Itoh, "Full-wave verification of the fundamental properties of left-handed materials in waveguide configurations," Journal of Applied Physics, Vol. 90, 5483-5486, 2001.
doi:10.1063/1.1408261

7. Ruppin, R., "Extinction properties of a sphere with negative permittivity and permeability," Solid State Communications, Vol. 116, 411-415, 2000.
doi:10.1016/S0038-1098(00)00362-8

8. Ziolkowski, R. W., "Superluminal transmission of information through an electromagnetic metamaterial," Physical Review E, Vol. 63, 046604, 2001.
doi:10.1103/PhysRevE.63.046604

9. Shelby, R. A., D. R. Smith, S. C. Nemat-Nasser, and S. Schultz, "Microwave transmission through a two-dimensional, isotropic, left-handed metamaterial," Applied Physics Letters, Vol. 78, 489-491, 2001.
doi:10.1063/1.1343489

10. Ziolkowski, R. W. and E. Heyman, "Wave propagation in media having negative permittivity and permeability," Physical Review E, Vol. 64, 056625, 2001.
doi:10.1103/PhysRevE.64.056625

11. Sarychev, K., V. M. Shalaev, and V. A. Podolskiy, "Plasmon modes in metal nanowires and left-handed materials," Journal of Nonlinear Optical Physics & Materials, Vol. 11, No. 1, 65-74, 2002.
doi:10.1142/S0218863502000833

12. Pendry, J. B. and S. Anantha Ramakrishna, "Near-field lenses in two dimensions," Journal of Physics: Condensed Matter, Vol. 14, 8463-8479, 2002.
doi:10.1088/0953-8984/14/36/306

13. Eleftheriades, G. V., A. K. Iyer, and P. C. Kremer, "Planar negative refractive Index media using periodically L-C loaded transmission lines," IEEE Trans. on Microwave Theory and Tech., Vol. 50, No. 12, 2702-2712, 2002.
doi:10.1109/TMTT.2002.805197

14. Pacheco J., Jr., T. M. Grzegorczyk, B.-I. Wu, Y. Zhang, and J. A. Kong, "Power propagation in homogeneous isotropic frequency dispersive left-handed media," Physical Review Letters, Vol. 89, 257401, 2002.
doi:10.1103/PhysRevLett.89.257401

15. Kong, J. A., B.-I. Wu, and Y. Zhang, "A unique lateral displacement of a Gaussian beam transmitted through a slab with negative permittivity and permeability," Microwave and Optical Technology Letters, Vol. 33, No. 2, 137-139, 2002.
doi:10.1002/mop.10255

16. Engheta, N., "An idea for thin subwavelength cavity resonators using metamaterials with negative permittivity and permeability," IEEE Antennas and Wireless Propagation Letters, Vol. 1, No. 1, 10-13, 2002.
doi:10.1109/LAWP.2002.802576

17. Grbic, A. and G. V. Eleftheriades, "Growing evanescent waves in negative-refractive-index transmission-line media," Applied Physics Letters, Vol. 82, 1815-1817, 2003.
doi:10.1063/1.1561167

18. Smith, D. R., D. Schurig, M. Rosenbluth, S. Schultz, S. Anantha Ramakrishna, and J. B. Pendry, "Limitations on subdiffraction imaging with a negative refractive index slab," Applied Physics Letters, 1506-1508, 2003.
doi:10.1063/1.1554779

19. Loschialpo, P. F., D. L. Smith, D. W. Forester, F. J. Rachford, and J. Schelleng, "Electromagnetic waves focused by a negative-index planar lens," Phys. Rev. E, Vol. 67, 025602, 2003.
doi:10.1103/PhysRevE.67.025602

20. Alu, A. and N. Engheta, "Circuit equivalence of 'growing exponential' in Pendry's lens," USNC/CNC/URSI North American Radio Science Meeting Digest, 22-27, 2003.

21. Feynman, R., R. B. Leighton, and M. L. Sands, The Feynman Lectures on Physics, Vol. I, Vol. I, Chapter 52, Addison-Wesley Publishing Co., 1965.

22. Lee, T. D. and C. N. Yang, "Question of parity conservation in weak interaction," Phys. Rev., Vol. 104, No. 1, 254-257, 1956.
doi:10.1103/PhysRev.104.254

23. Kong, J. A., Electromagnetic Wave Theory, John Wiley & Sons, New York, 1990.

24. Chew, W. C., Waves and Fields in Inhomogeneous Media, Van Nostrand Reinhold, New York, 1990. Reprinted by IEEE Press, 1995.

25. Banõs, Jr. and A., Dipole Radiation in the Presence of a Conducting Half-Space, Pergamom Press, New York, 1966.