IMPLEMENTATIONS AND PRACTICAL APPLICATIONS OF HYPERBOLIC METAMATERIALS

A. V. Shchelokova, P. V. Kapitanova, P. A. Belov


Read the full article 
Article in Russian


Abstract

The paper presents a review on hyperbolic metamaterials which are normally described by the permittivity and permeability tensors with the components of the opposite sign. Therefore, the hyperbolic metamaterials have the hyperbolic isofrequency surfaces in the wave vector space. It leads to a number of unusual properties, such as the negative refraction, the diverging density of photonic states, ultra-high rate of spontaneous emission and increasing of subwavelength fields. The presence of the unique properties mentioned above makes the concept of hyperbolic metamaterials promising for research in modern science and explains the attempts of research groups around the world to realize structures with hyperbolic isofrequency curve suitable for applications in different frequency ranges. Hyperbolic metamaterials realized as layered metal-dielectric structures, arrays of nanowires, graphene layers, as well as artificial transmission lines are considered in the paper. Possible practical applications of hyperbolic metamaterials are described including hyperlens able to increase the nanoscale objects; wire mediums applied for spectroscopy to improve the resolution and increasing the distance to the object being scanned. Hyperbolic metamaterials are noted to be extremely promising for applications in nanophotonics, including single-photon generation, sensing and photovoltaics.


Keywords: metamaterial, hyperbolic metamaterial, hyperbolic isofrequency surface

References
1.        Valentine J., Zhang S., Zentgraf T., Ulin-Avila E., Genov D.A., Bartal G., Zhang X. Three-dimensional optical metamaterial with a negative refractive index. Nature, 2008, vol. 455, pp. 376–379. doi: 10.1038/nature07247
2.        Veselago V.G. The electrodynamics of substances with simultaneously negative values of ε and μ. Sov. Phys. Usp., 1968, vol. 10, pp. 509–514.
3.        Linden S., Enkrich C., Wegener M., Zhou J., Koschny T., Soukoulis C.M. Magnetic Response of Metamaterials at 100 Terahertz. Science, 2004, vol. 306, pp. 1351–1353. doi: 10.1126/science.1105371
4.        Belov P.A., Hao Y., Sudhakaran S. Subwavelength microwave imaging using an array of parallel conducting wires as a lens. Physical Review B, 2006, vol. 73, art. no. 0331081. doi: 10.1103/PhysRevB.73.033108
5.        Schurig D., Mock J.J., Justice B.J., Cummer S.A., Pendry J.B., Starr A.F., Smith D.R. Metamaterial electromagnetic cloak at microwave frequencies. Science, 2006, vol. 314, pp. 977-980. doi: 10.1126/science.1133628
6.        Radu X., Garray D., Craeye C. Toward a wire medium endoscope for MRI imaging. Metamaterials, 2009, vol. 3, no. 2, pp. 90-99.
7.        Filonov D.S., Krasnok A.E., Slobozhanyuk A.P., Kapitanova P.V., Nenasheva E.A., Kivshar Y.S., Belov P.A. Experimental verification of the concept of all-dielectric nanoantennas. Applied Physics Letters, 2012, vol. 100, no. 20, art. no. 2011131. doi: 10.1063/1.4719209
8.        Krasnok A.E., Belov P.A., Kivshar Y.S. Opticheskie dielektricheskie nanoantenny [Dielectric optical nanoantennas]. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2013, no. 5 (87), pp. 23–28.
9.        Powell D.A., Shadrivov I.V., Kivshar Y.S. Nonlinear electric metamaterials. Applied Physics Letters, 2009, vol. 95, art. no. 084102. doi: 10.1063/1.3212726
10.     Cortes C.L., Newman W., Molesky S., Jacob Z. Quantum nanophotonics using hyperbolic metamaterials. Journal of Optics (United kingdom), 2012, vol. 14. art. no. 063001. doi: 10.1088/2040-8978/14/6/063001
11.     Krishnamoorthy H.N.S., Jacob Z., Narimanov E., Kretzschmar I., Menon V.M. Topological transitions in metamaterials. Science, 2012, vol. 336, pp. 205–209. doi: 10.1126/science.1219171
12.     Smith D.R., Kolinko P., Schurig D. Negative refraction in indefinite media. Journal of the Optical Society of America B: Optical Physics, 2004, vo. 21, pp. 1032-1043.
13.     Belov P.A. Backward waves and negative refraction in uniaxial dielectrics with negative dielectric permittivity along the anisotropy axis. Microwave and Optical Technology Letters, 2003, vol. 37, pp. 259-263. doi: 10.1002/mop.10887
14.     Liu Z., Lee H., Xiong Y., Sun C., Zhang X. Far-field optical hyperlens magnifying sub-diffraction-limited objects. Science, 2007, vol. 315, p. 1686. doi: 10.1126/science.1137368
15.     Smith D.R., Schuring D. Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors. Physical Review Letters, 2003, vol. 90, no. 7, pp. 077405/1-077405/4.
16.     Shum K.M., Xue Q., Chau W.N., Chan C.H. BW media – Media with negative parameters, capable of supporting backward waves. Microwave and Optical Technology Letters, 2001, vol. 31, pp. 129-133. doi: 10.1002/mop.1378
17.     Poddubny A., Iorsh I., Belov P., Kivshar Y. Hyperbolic metamaterials. Nature Photonics, 2013, vol. 7, no. 12, pp. 958-967. doi: 10.1038/nphoton.2013.243
18.     Hoffman A.J., Alekseyev L., Howard S.S., Franz K.J., Wasserman D., Podolskiy V.A., Narimanov E.E., Sivco D.L., Gmachl C. Negative refraction in semiconductor metamaterials. Nature Materials, 2007, vol. 6, pp. 946-950. doi: 10.1038/nmat2033
19.     Tumkur T., Zhu G., Black P., Barnakov Yu.A., Bonner C.E., Noginov M.A. Control of spontaneous emission in a volume of functionalized hyperbolic metamaterial. Applied Physics Letters, 2011, vol. 99, art. no. 151115. doi: 10.1063/1.3631723
20.     Belov P.A., Marques R., Maslovski S.I., Nefedov I.S., Silveirinha M., Simovski C.R., Tretyakov S.A. Strong spatial dispersion in wire media in the very large wavelength limit. Physical Review B - Condensed Matter and Materials Physics, 2003, vol. 67, art. no. 113103.
21.     Agranovich V.M., Kravtsov V.E. Notes on crystal optics of superlattices. Solid State Communications, 1985, vol. 55, pp. 85-90.
22.     Yang X., Yao J., Rho J., Yin X., Zhang X. Experimental realization of three-dimensional indefinite cavities at the nanoscale with anomalous scaling laws. Nature Photonics, 2012, vol. 6, no. 7, pp. 450-454. doi: 10.1038/nphoton.2012.124
23.     Kim J., Drachev V.P., Jacob Z., Naik G.V., Boltasseva A., Narimanov E.E., Shalaev V.M. Improving the radiative decay rate for dye molecules with hyperbolic metamaterials. Optics Express, 2012, vol. 20, pp. 8100-8116. doi: 10.1364/OE.20.008100
24.     Korobkin D., Neuner B., Fietz C., Jegenyes N., Ferro G., Shvets G. Measurements of the negative refractive index of sub-diffraction waves propagating in an indefinite permittivity medium. Optics Express, 2010, vol. 18, pp. 22734-22746. doi: 10.1364/OE.18.022734
25.     Noginov M.A., Barnakov Yu.A., Zhu G., Tumkur T., Li H., Narimanov E.E. Bulk photonic metamaterial with hyperbolic dispersion. Applied Physics Letters, 2009, vol. 94, art. no. 151105. doi: 10.1063/1.3115145
26.     Yao J., Liu Z., Liu Y., Wang Y., Sun C., Bartal G., Stacy A.M., Zhang X. Optical negative refraction in bulk metamaterials of nanowires. Science, 2008, vol. 321, pp. 930. doi: 10.1126/science.1157566
27.     Fisher R.K., Gould R.W. Resonance cones in the field pattern of short antenna in an anisotropic plasma. Physical Review Letters, 1969, vol. 22, pp. 1093-1095. doi: 10.1103/PhysRevLett.22.1093
28.     Felsen L., Marcuvitz N. Radiation and scattering of waves. NY, Wiley Interscience, 2003, 464 р.
29.     Seshardi S.R., Wu T.T. Radiation condition for a magnetoplasma medium. Quarterly Journal of Mechanics and Applied Mathematics, 1970, vol. 23, no. 2, pp. 285-313. doi: 10.1093/qjmam/23.2.285
30.     Yao J., Yang X., Yin X., Bartal G., Zhang X. Three-dimensional nanometer-scale optical cavities of indefinite medium. Proceedings of the National Academy of Sciences of the United States of America, 2011, vol. 108, no. 2, pp. 11327-11331. doi: 10.1073/pnas.1104418108
31.     Kruk S.S., Powell D.A., Minovich A., Neshev D.N., Kivshar Y.S. Spatial dispersion of multilayer fishnet metamaterials. Optics Express, 2012, vol. 20, pp. 15100-15105. doi: 10.1364/OE.20.015100
32.     Grbic A., Eleftheriades G.V. Periodic Analysis of a 2-D Negative Refractive Index Transmission Line Structure. IEEE Transactions on Antennas Propagation, 2003, vol 51, no. 10, pp. 2604-2611. doi: 10.1109/TAP.2003.817543
33.     Grbic A., Eleftheriades G.V. An isotropic three-dimensional negative-refractive-index transmission-line metamaterial. Journal of Applied Physics, 2005, vol. 98, no.4, art. no. 043106. doi: 10.1063/1.2007853
34.     Chshelokova A.V., Kapitanova P.V., Poddubny A.N., Filonov D.S., Slobozhanyuk A.P., Kivshar Yu.S., Belov P.A. Hyperbolic transmission-line metamaterials. Journal of Applied Physics, 2012, vol. 112, no. 7, art. no. 073116. doi: 10.1063/1.4758287
35.     Schilling J. Uniaxial metallo-dielectric metamaterials with scalar positive permeability. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2006, v. 74, no. 4, art. no. 046618. doi: 10.1103/PhysRevE.74.046618
36.     Mackay T.G., Lakhtakia A., Depine R.A. Uniaxial dielectric media with hyperbolic dispersion relations. Microwave and Optical Technology Letters, 2006, vol. 48, pp. 363-367. doi: 10.1002/mop.21350
37.     Orlov A.A., Voroshilov P.M., Belov P.A., Kivshar Y.S. Engineered optical nonlocality in nanostructured metamaterials. Physical Review B - Condensed Matter and Materials Physics 2011, vol. 84, no. 4, art. no. 045424. doi: 10.1103/PhysRevB.84.045424
38.     Potemkin A.S., Poddubny A.N., Belov P.A., Kivshar Y.S. Green function for hyperbolic media. Physical Review A - Atomic, Molecular, and Optical Physics, 2012, vol. 86, no. 2, art. no. 023848. doi: 10.1103/PhysRevA.86.023848
39.     Purcell E.M. Spontaneous emission probabilities at radio frequencies. Physical Review, 1946, vol. 69, p. 681.
40.     Poddubny A.N., Belov P.A., Kivshar Y.S. Spontaneous radiation of a finite-size dipole emitter in hyperbolic media. Physical Review A - Atomic, Molecular, and Optical Physics, 2011, vol. 84, no. 2, art. no. 023807. doi: 10.1103/PhysRevA.84.023807
41.     Podolskiy V.A., Narimanov E.E. Strongly anisotropic waveguide as a nonmagnetic lefthanded system. Physical Review B - Condensed Matter and Materials Physics, 2005, vol. 71, no. 20, art. no. 201101. doi: 10.1103/PhysRevB.71.201101
42.     Alekseyev L.V., Narimanov E.E. Slow light and 3D imaging with non-magnetic negative index systems. Optics Express, 2006, vol. 14, pp. 11184–11193. doi: 10.1364/OE.14.011184
43.     Elser J., Podolskiy V.A. Scattering-free plasmonic optics with anisotropic metamaterials. Physical Review Letters, 2008, vol. 100, no. 6, art. no. 066402. doi: 10.1103/PhysRevLett.100.066402
44.     Xu G.-D., Pan T., Zang T.-C., Sun J. Characteristics of guided waves in indefinite-medium waveguides. Optics Communications, 2008, vol. 281, no. 10, pp. 2819–2825. doi: 10.1016/j.optcom.2008.01.042
Copyright 2001-2017 ©
Scientific and Technical Journal
of Information Technologies, Mechanics and Optics.
All rights reserved.

Яндекс.Метрика