Anisotropic and Hyperbolic Metamaterials

Tutorials in Metamaterials

Volumn , Issue , 2016, Pages 163-207

  Podolskiy, Viktor A ^a,b  

^a OREGON STATE UNIVERSITY   (United States)

^b University of Massachusetts Lowell   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85137432463     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/b11350-10     Document Type: Chapter

References (100)

1. V.G. Veselago, The electrodynamics of substances with simultaneously negative values of e and, Soviet Phys. Uspekhi 10, pp. 509-514, 1968.
2. V.M. Shalaev, W. Cai, U.K. Chettiar, H.-K. Yuan, A.K. Sarychev, V.P. Drachev, and A.V. Kildishev, Negative index of refraction in optical metamaterials, Opt. Lett., 30, 3356, 2005.
3. G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, Simultaneous negative phase and group velocity of light in a metamaterial, Science 312, 892-894, 2006.
4. J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D.A. Genov, G. Bartal, and X. Zhang, Three-dimensional optical metamaterial with a negative refractive index, Nature 455, 376, 2008.
5. J.B. Pendry and D.R. Smith, Reversing light with negative refraction, Physics Today, 57(6), pp. 37-43, 2004.
6. D.R. Smith, W.J. Padilla, D.C. Vier, S.C. Nemat-Nasser, and S. Shultz, Composite medium with simultaneously negative permeability and permittivity, Phys. Rev. Lett. 84, 4184-4187, 2000.
7. C. Parazzoli, R. Greegor, K. Li, B.E.C. Koltenbah, and M. Tanielian Experimental verification and simulation of negative index of refraction using Snells law, Phys. Rev. Lett. 90 107401-1-4, 2003.
8. V. M. Shalaev, Optical negative-index metamaterials, Nat. Phot. 1, 41-48, 2007.
9. J. Yao, Z. Liu, Y. Liu, Y. Wang, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, Optical negative refraction in bulk metamaterials of nanowires, Science 321, 930, 2008.
10. M. Born and E. Wolf, Principles of Optics, Cambridge U. Press, Cambridge, 1999.
11. L.D. Landau, E.M. Lifshitz, and L.P. Pitaevskii Course of Theoretical Physics, vol. 8, 2nd ed., Reed Ltd, Oxford, 1984.
12. J.D. Joannopoulos, S.G. Johnson, J. N. Winn, and R.D. Meade, Photonic Crystals: Molding the Flow of Light, Princeton U. Press, Princeton, NJ, 2008.
13. A. Alú, and N. Engheta, in G. V. Eleftheriades and K. G. Balmain (eds.), Negative Refraction Metamaterials: Fundamental Properties and Applications, John Wiley and Sons, New York, 2005.
14. G. Shvets, Photonic approach to making a materials with a negative index of refraction, Phys. Rev. B 67, pp.035109-1-8, 2003.
15. L.M. Brekhovskikh, Waves in Layered Media, 2nd edition, Academic Press, New York, 1980.
16. M. Notomi, Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap, Phys. Rev. B 62 10696-10705, 2000.
17. A.A. Govyadinov and V.A. Podolskiy Metamaterials photonic funnels for sub-diffraction light compression and propagation, Phys. Rev. B 73, 155108, 2006.
18. E. Palik, ed., The Handbook of Optical Constants of Solids, Academic Press, New York, 1997.
19. R. Wangberg, J. Elser, E.E. Narimanov, and V.A. Podolskiy, Nonmagnetic nano-composites for optical and infrared negative refraction index media, J. Opt. Soc. Am. B 23, 498, 2006.
20. A. J. Hoffman, L. Alekseyev, S.S. Howard, K.J. Franz, D. Wasserman, V.A. Podolskiy, E.E. Narimanov, D.L. Sivco, and C. Gmachl, Negative refraction in semiconductor metamaterials, Nature Mat. 6, 946, 2007.
21. P. Evans, W. R. Hendren, R. Atkinson, G. A. Wurtz, W. Dickson, A. V. Zayats, and R.J. Pollard, Nanotechnology 17, 5746-5753, 2006.
22. M.A. Noginov, Yu. A. Barnakov, G. Zhu, T. Tumkur, H. Li, and E.E. Narimanov, Appl. Phys. Lett. 94, 151105, 2009.
23. J.C.M. Garnett, Philos. Trans. R. Soc. London, Ser. B 203, 385, 1904.
24. J. Elser, R. Wangberg, V.A. Podolskiy, and E.E. Narimanov, Nanowire metamaterials with extreme optical anisotropy, Appl. Phys. Lett. 89, 261102, 2006.
25. G.W. Milton, The Theory of Composites, Cambridge U. Press, Cambridge, 2002.
26. For details see COMSOL Multiphysics User’s Guide, AC/DC Module and RF Module User’s Guide; COMSOL, 1994-2008; www.comsol.com.
27. K.F. Riley, M.P. Hobson, and S.J. Bence, Mathematical Methods for Physics and Engineering, 3rd ed., Cambridge U. Press, Cambridge, 1998.
28. J.B. Pendry, Negative refraction makes a perfect lens, Phys. Rev. Lett. 85, 3966-3969, 2000.
29. V.A. Podolskiy and E.E. Narimanov, Near-sighted superlens, Opt. Lett. 30, 75-77, 2005.
30. L.V. Alexeyev and E.E. Narimanov, Slow light and 3D imaging with nonmagnetic negative index systems, Opt. Exp. 14, 11184, 2006.
31. V.G. Veselago and E.E. Narimanov, The left hand of brightness: Past, present, and future of negative index materials, Nat. Mat. 5, 759, 2006.
32. P.A. Belov, Backward waves and negative refraction in uniaxial dielectrics with negative dielectric permittivity along the anisotropy axis, Micr. Opt. Tech. Lett. 37, 259, 2003.
33. S.M. Rytov, Electoromagnetic properties of a finely stratified medium, Sov. Phys. JETP 2, 466, 1956.
34. P. Yeh, A. Yariv, and C. Hong, Electromagnetic propagation in periodic stratified media. I. General theory, J. Opt. Soc. Am. 67, 423, 1977.
35. I. Avrutsky. J. Opt. Soc. Am. B 20 548, 2003.
36. S. Thongrattanasiri, J. Elser, and V.A. Podolskiy, Quasi-planar optics: computing light propagation and scattering in planar waveguide arrays, J. Opt. Soc. Am. B 26, B102, 2009.
37. A. Lewis, H. Taha, A. Strinkovski et.al. Nat. Biotechnol. 21 1378, 2003.
38. A. Grbic and G. Eleftheriades, Phys. Rev. Lett. 92, 117403, 2004.
39. N. Fung et.al., Science 308, 534, 2005.
40. R.J. Blaikie and D.O.S. Melville, J. Opt. A 7, S176, 2005.
41. R. Merlin, Science 317 927, 2007.
42. A. Grbic, L. Jiang, and R. Merlin, Science 320, 511, 2008.
43. L. Makley et.al. Phys. Rev. Lett. 101, 113901, 2008.
44. L.S. Dolin and Izv. VUZov, Radiofizika, 4, 964, 1961.
45. J. Pendry, D. Schurig, and D. Smith, Science 312, 1780, 2006.
46. A. Kildishev and V.M. Shalaev, Opt. Lett. 33, 43, 2008.
47. E.E. Narimanov and A.V. Kildishev, Optical black hole: Broadband omnidirectional light absorber, Appl. Phys. Lett. 95, 041106, 2009.
48. D.A. Genov, S. Zhang, and X. Zhang, and Mimicking celestial mechanics in metamaterials, Nat. Phys. v.5(a), p.687-692, 2009.
49. M.I. Stockman, Phys. Rev. Lett. 93, 137404, 2004.
50. C. Ropers, C.C. Neacsu, T. Elsaesser, M. Albrecht, M.B. Raschke, and C. Lienau, Grating-coupling of surface plasmons onto metallic tips: A nanoconfined light source, Nano Lett. 7, 2784, 2007.
51. Z. Jacob, L. Alekseyev, and E. Narimanov, Opt. Exp. 14, 8247, 2006.
52. A. Salandrino and N. Engheta, Phys. Rev. B 74, 075103, 2006.
53. Z. Liu et.al., Science 315, 1686, 2007.
54. I.I. Smolyaninov, Y.J. Hung, and C.C. Davis, Science 315, 1699, 2007.
55. S. Thongrattanasiri and V.A. Podolskiy, Hyper-gratings: Nanophotonics in planar anisotropic metamaterials, Opt. Lett. 34, 890, 2009.
56. V.A. Podolskiy and S. Thongrattanasiri, Hypergratings: Far-field subwavelength focusing in planar metamaterials, Proc. SPIE, vol. 7392, 73921A, eds. M.A. Noginov, N.I. Zheludev, A.D. Boardman, and N. Engheta, 2009.
57. C. Reinhardt et.al. Appl. Phys. Lett. 89, 231117, 2006.
58. V.A. Podolskiy and E.E. Narimanov, Strongly anisotropic waveguide as a nonmagnetic left-handed system, Phys. Rev. B 71, 201101(R), 2005.
59. V.A. Podolskiy, R. Wangberg, J. Elser, and E.E. Narimanov, Left-handed high energy density waveguides: Nano-light propagation and focusing, Proc. SPIE 6002, 600205, 2005.
60. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings, Springer-Verlag, Berlin, 1988.
61. J.N. Anker, W.P. Hall, O. Lyandres, N.C. Shah, J. Zhao, and R.P. Van Duyne, Biosensing with plasmonic nanosensors, Nature Mat. 7, 442, 2008.
62. A. Kabashin, P. Evans, S. Pastkovsky, W. Hendren, G. A. Wurtz, R. Atkinson, R. Pollard, V. Podolskiy, and A.V. Zayats, plasmonic nanorod metamaterials for biosensing accepted to Nature Materials, v. 8, p.867, 2009.
63. R.F. Oulton, D.F.P. Pile, Y. Liu, and X. Zhang, Phys. Rev. B 76, 035408, 2007.
64. J. Elser and V.A. Podolskiy, Scattering-free plasmonic optics with anisotropic metamaterials, Phys. Rev. Lett. 100, 066402, 2008.
65. T. Sondergaard and S.I. Bozhevolnyi, Out-of-plane scattering properties of long-range surface plasmon polariton gratings, Phys. Stat. Sol. (b), 242, 3064, 2005.
66. V.A. Podolskiy and J. Elser, Electroplasmonics: Dynamical plasmonic circuits with minimized parasitic scattering, in CLEO/QELS 2008, OSA, Washington, DC, 2008, QTuJ2.
67. E. Betzig, J.K. Trautman, T.D. Harris, J.S. Weiner, and R.L. Kostelak, Science 251, 1468, 1991.
68. S.F. Mingaleev and Y.S. Kivshar, J. Opt. Soc. Am. B 19, 2241, 2002.
69. M.F. Yanik, S. Fan, M. Soljâcċi, and J.D. Joannopoulos, Opt. Lett. 28, 2506, 2003.
70. D. Walba, Science, 270, 250, 1995.
71. Q. Xu, B. Schmidt, S. Pradhan, and M. Lipson, Nature, 435, 325, 2005.
72. A. Kramer, F. Keilmann, B. Knoll, and R. Guckenberger, Micron, 27, 413, 1996.
73. R. Marques, J. Martel, F. Mesa, and F. Medina, Phys. Rev. Lett. 89, 183901, 2002.
74. J. Baena, L. Jelinek, R. Marques, and F. Medina, Phys. Rev. B, bf 72, 075116, 2005.
75. P. Belov, and C. Simovski, Phys. Rev. E, 72, 036618, 2005.
76. S. Hrabar, IEEE Trans. Ant. Prop. 53, 110, 2005.
77. A. Alu, and N. Engheta, IEEE Trans. Micr. Theory Tech. 52, 199, 2004.
78. F. Demming, A. v-d Lieth, S. Klein, and K. Dickmann, Adv. Func. Mat. 11, 198, 2001.
79. S.A. Maier, P.G. Kik, H.A. Atwater, S.M. Meltzer, E. Harel, B.E. Koel, and A.G. Requicha, Nature 2, 229, 2003.
80. P.G. Kik, S.A. Maier, and H.A. Atwater, Phys. Rev. B 69, 045418, 2004.
81. A. Karalis, E. Lidorikis, M. Ibanescu, J.D. Joannopoulos, and M. Soljacic, Phys. Rev. Lett. 95, 063901, 2005.
82. S.I. Bozhevolnyi, V.S. Volkov, and K. Leosson, Phys. Rev. Lett. 89, 186801, 2002.
83. A. Bouhelier, J. Renger, M.R. Beversluis, and L. Novotny, J. Microscopy, 210, 220, 2002.
84. A.A. Govyadinov and V.A. Podolskiy, Metamaterials photonic funnels for sub-diffraction light compression and propagation, Phys. Rev. B 73(15), 155108, 2006.
85. A.A. Govyadinov and V.A. Podolskiy, Sub-diffraction light propagation in fibers with anisotropic metamaterial cores, J. Mod. Opt. 53, 2315, 2006.
86. Agranovich, V.M. and Ginzburg, V.L., Crystal Optics with Spatial Dispersion and Excitons, Springer Series in Solid-State Sciences, vol. 42, Springer-Verlag, Berlin, 1984.
87. Pekar, S.I., The theory of electromagnetic waves in a crystal in which excitons are produced, Sov. Phys. JETP 6, 785-796, 1958.
88. J. Elser, V.A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, Non-local effects in effective-medium response of nano-layered meta-materials, Appl. Phys. Lett. 90, 191109, 2007.
89. J. Elser, A.A. Govyadinov, I. Avrustky, I. Salakhutdinov, and V.A. Podolskiy, Plasmonic nanolayer composites: Coupled plasmon polaritons, effective-medium response, and subdiffraction light manipulation, J. Nanomaterials, 2007, 79469, 2007.
90. R.J. Pollard, A. Murphy, W.R. Hendren, P.R. Evans, R. Atkinson, G.A. Wurtz, A.V. Zayats, and V.A. Podolskiy Optical nonlocalities and additional waves in epsilon-near-zero metamaterials, Phys. Rev. Lett. 102, 127405, 2009.
91. A.N. Lagarkov and A.K. Sarychev, Electromagnetic properties of composites containing elongated conducting inclusions, Phys. Rev. B 53, 6318-6336, 1996.
92. J.B. Pendry, A.J. Holden, W.J. Steward, and I. Youngs, Extremely low frequency plasmons in metallic mesostructures, Phys. Rev. B 76, 4773, 1996.
93. P.A. Belov, R. Marques, S.I. Maslovski, I.S. Nefedov, M. Silveirinha, C.R. Simovski, and S.A. Tretyakov, Strong spatial dispersion in wire media in the very large wavelength limit, Phys. Rev. B 67, 113103, 2003.
94. A.L. Pokrovsky and A.L. Efros, Nonlocal electrodynamics of two-dimensional wire mesh photonic crystals, Phys. Rev. B 65, 045110, 2002.
95. M. Silveirinha, Nonlocal homogenization model for a periodic array of epsilon-negative rods, Phys. Rev. E 73, 046612, 2006.
96. J.J. Hopfield and D.G. Thomas, Theoretical and experimental effects of spatial dispersion on the optical properties of crystals, Phys. Rev. 132, 563-572, 1963.
97. V.A. Kiselev, B.S. Razbirin, and I.N. Uraltsev, Additional waves and Fabri-Perot interference of photoexcitons (polaritons) in thin II-IV crystals, Phys. Stat. Sol. (b) 72, 161, 1975.
98. P.H. Lisseberger, and R.G. Nelson, Optical properties of think film Au-MgF2 cements, Thin Solid Films 21, 159-172, 1974.
99. P.B. Johnson and R.W. Christy, Optical constants of noble metals, Phys. Rev. B 6, 4370-4379, 1972.
100. M.G. Silveirinha, Artificial plasma formed by connected metallic wires at infrared frequencies, Phys. Rev. B, 79, 035118, 2009.