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9 - Gain in optical metamaterials

Published online by Cambridge University Press:  03 May 2011

Malin Premaratne
Affiliation:
Monash University, Victoria
Govind P. Agrawal
Affiliation:
University of Rochester, New York
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Summary

The recent development of artificially structured optical materials—termed optical metamaterials—has led to a variety of interesting optical effects that cannot be observed in naturally occurring materials. Indeed, the prefix “meta” means “beyond” in the Greek language, and thus a metamaterial is a material with properties beyond those of naturally occurring materials. Examples of the novel optical phenomena made possible by the advent of metamaterials include optical magnetism [1, 2], negative refractive index [3, 4], and hyperbolic dispersion [5, 6]. Metamaterials constitute a 21st-century area of engineering science that is not only expanding fundamental knowledge about electromagnetic wave propagation but is also providing new solutions to complex problems in a wide range of disciplines, from data networking to biological imaging. Although metamaterials have attracted public attention, most people see them only in devices such as Harry Potter's cloak of invisibility, or machines like StarCraft's Arbiter, with the ability to make things invisible. Indeed, the research on metamaterials indicates that the invisibility cloak is a real possibility, and might find applications in advanced defence technologies. However, it is worth mentioning other opportunities where such advanced materials can find practical applications. A very important one is the transformation of evanescent waves into propagating waves, enabling one to view subwavelength-scale objects with an optical microscope, thereby surpassing the diffraction limit [7–9].

Type
Chapter
Information
Light Propagation in Gain Media
Optical Amplifiers
, pp. 237 - 264
Publisher: Cambridge University Press
Print publication year: 2011

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References

[1] S., Zhang, W. J., Fan, B. K., Minhas, A., Frauenglass, K. J., Malloy, and S. R. J., Brueck, “Mid-infrared resonant magnetic nanostructures exhibiting a negative permeability,” Phys. Rev. Lett., vol. 94, p. 037402 (4 pages), 2005.Google Scholar
[2] W., Cai, U. K., Chettiar, H.-K., Yuan, et al., “Meta-magnetics with rainbow colors,” Opt. Express, vol. 15, pp. 3333–3341, 2007.Google Scholar
[3] R. A., Shelby, D. R., Smith, and S., Schultz, “Experimental verification of a negative index of refraction,” Science, vol. 292, pp. 77–79, 2001.Google Scholar
[4] A. V., Kildishev, W. S., Cai, U. K., Chettiar, et al., “Negative refractive index in optics of metal-dielectric composites,” J. Opt. Soc. Am. B, vol. 23, pp. 423–433, 2006.Google Scholar
[5] A. J., Hoffman, L. V., Alekseyev, S. S., Howard, et al., “Negative refraction in semiconductor metamaterials,” Nat. Mater., vol. 6, pp. 946–950, 2007.Google Scholar
[6] M. A., Noginov, Y. A., Barnakov, G., Zhu, T., Tumkur, H., Li, and E. E., Narimanov, “Bulk photonic metamaterial with hyperbolic dispersion,” Appl. Phys. Lett., vol. 94, p. 151105 (3 pages), 2009.Google Scholar
[7] J. B., Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett., vol. 85, pp. 3966–3969, 2000.Google Scholar
[8] Z., Jacob, L. V., Alekseyev, and E. E., Narimanov, “Optical hyperlens: Far-field imaging beyond the diffraction limit,” Opt. Express, vol. 14, pp. 8247–8256, 2006.Google Scholar
[9] A., Salandrino and N., Engheta, “Far-field subdiffraction optical microscopy using metamaterial crystals: Theory and simulations,” Phys. Rev. B, vol. 74, p. 075103 (5 pages), 2006.Google Scholar
[10] J. B., Pendry, D., Schurig, and D. R., Smith, “Controlling electromagnetic fields,” Science, vol. 312, pp. 1780–1782, 2006.Google Scholar
[11] W., Cai, U. K., Chettiar, A. V., Kildishev, and V. M., Shalaey, “Optical cloaking with metamaterials,” Nat. Photonics, vol. 1, pp. 224–227, 2007.Google Scholar
[12] K. R., Catchpole and A., Polman, “Plasmonic solar cells,” Opt. Express, vol. 16, pp. 21793–21800, 2008.Google Scholar
[13] E., Plum, V. A., Fedotov, P., Kuo, D. P., Tsai, and N. I., Zheludev, “Towards the lasing spaser: Controlling meta-material optical response with semiconductor quantum dots,” Opt. Express, vol. 17, pp. 8548–8551, 2009.Google Scholar
[14] M. A., Noginov, G., Zhu, A. M., Belgrave, et al., “Demonstration of a spaser-based nanolaser,” Nature, vol. 460, pp. 1110–1112, 2009.Google Scholar
[15] V. M., Shalaev, “Optical negative index metamaterials,” Nature Photonics, vol. 1, pp. 41–47, 2007.Google Scholar
[16] C., Kittel, Introduction to Solid State Physics, 7th ed. Wiley, 1995.Google Scholar
[17] C. M., Bingham, H., Tao, X., Liu, R. D., Averitt, X., Zhang, and W. J., Padilla, “Planar wallpaper group metamaterials for novel terahertz applications,” Opt. Express, vol. 16, pp. 18565–18575, 2008.Google Scholar
[18] D., Schattschneider, “The plane symmetry groups: Their recognition and notation,” Am. Math. Mon., vol. 85, pp. 439–450, 1978.Google Scholar
[19] N., Fang, H., Lee, C., Sun, and X., Zhang, “Sub–diffraction-limited optical imaging with a silver superlens,” Science, vol. 308, pp. 534–537, 2005.Google Scholar
[20] K. L., Tsakmakidis, A. D., Boardman, and O., Hess, “Trapped rainbow storage of light in metamaterials,” Nature, vol. 450, pp. 397–401, 2007.Google Scholar
[21] A. K., Popov and S. A., Myslivets, “Transformable broad-band transparency and amplification in negative-index films,” Appl. Phys. Lett., vol. 93, p. 191117 (3 pages), 2008.Google Scholar
[22] N. M., Litchinitser and V. M., Shalaev, “Metamaterials: Loss as a route to transparency,” Nat. Photonics, vol. 3, p. 75, 2009.Google Scholar
[23] A. A., Govyadinov and V. A., Podolskiy, “Active metamaterials: Sign of refractive index and gain-assisted dispersion management,” Appl. Phys. Lett., vol. 91, pp. 191103/1–191103/3, 2007.Google Scholar
[24] N., Liu, L., Langguth, T., Weiss, et al., “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater., vol. 8, pp. 758–762, 2009.Google Scholar
[25] S., Zhang, D. A., Genov, Y., Wang, M., Liu, and X., Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett., vol. 101, p. 047401 (4 pages), 2008.Google Scholar
[26] P., Tassin, L., Zhang, T., Koschny, E. N., Economou, and C. M., Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett., vol. 102, p. 053901 (4 pages), 2009.Google Scholar
[27] M. I., Stockman, “Criterion for negative refraction with low losses from a fundamental principle of causality,” Phys. Rev. Lett., vol. 98, p. 177404 (4 pages), 2007.Google Scholar
[28] A., Reza, M. M., Dignam, and S., Hughes, “Can light be stopped in realistic metamaterials?” Nature, vol. 455, pp. E10–E11, 2008.Google Scholar
[29] W., Cai and V., Shalaev, Optical Metamaterials: Fundamentals and Applications. Springer, 2009.Google Scholar
[30] M. A., Noginov, G., Zhu, M., Bahoura, et al., “Enhancement of surface plasmons in an Agaggregate by optical gain in a dielectric medium,” Opt. Lett., vol. 31, pp. 3022–3024, 2006.Google Scholar
[31] N. I., Zheludev, S. L., Prosvirnin, N., Papasimakis, and V. A., Fedotov, “Lasing spaser,” Nat. Photonics, vol. 2, pp. 351–354, 2008.Google Scholar
[32] R. F., Oulton, V. J., Sorger, T., Zentgraf, et al., “Plasmon lasers at deep subwavelength scale,” Nature, vol. 461, pp. 629–632, 2009.Google Scholar
[33] A., Fang, T., Koschny, M., Wegener, and C. M., Soukoulis, “Self-consistent calculation of metamaterials with gain,” Phys. Rev. B, vol. 79, p. 241104(R) (4 pages), 2009.Google Scholar
[34] M. I., Stockman, “The spaser as a nanoscale quantum generator and ultrafast amplifier,” J. Opt., vol. 12, p. 024004 (13 pages), 2010.Google Scholar
[35] J. A., Gordon and R. W., Ziolkowski, “The design and simulated performance of a coated nano-particle laser,” Opt. Express, vol. 15, pp. 2622–2653, 2007.Google Scholar
[36] M., Wegener, J. L., Garcia-Pomar, C. M., Soukoulis, N., Meinzer, M., Ruther, and S., Linden, “Toy model for plasmonic metamaterial resonances coupled to two-level system gain,” Opt. Express, vol. 16, pp. 19785–19798, 2008.Google Scholar
[37] Z.-J., Yang, N.-C., Kim, J.-B., Li, “Surface plasmons amplifications in single Agnanoring,” Opt. Express, vol. 18, pp. 4006–4011, 2010.Google Scholar
[38] M., Ambati, D. A., Genov, R. F., Oulton, and X., Zhang, “Active plasmonics: Surface plasmon interaction with optical emitters,” IEEE J. Sel. Top. Quantum Electron., vol. 14, pp. 1395–1403, 2008.Google Scholar
[39] Y., Fu, L., Thylen, and H., Agren, “A lossless negative dielectric constant from quantum dot exciton polaritons,” Nano Lett., vol. 8, pp. 1551–1555, 2008.Google Scholar
[40] Y., Fu, H., Agren, L., Hoglund, et al., “Optical reflection from excitonic quantum-dot multilayer structures,” Appl. Phys. Lett., vol. 93, p. 183117 (3 pages), 2008.Google Scholar
[41] D. J., Bergman and M. I., Stockman, “Surface plasmon amplification by stimulated emission of radiation: Quantum generation of coherent surface plasmons in nanosystems,” Phys. Rev. Lett., vol. 90, p. 027402 (4 pages), 2003.Google Scholar
[42] M. I., Stockman, S. V., Faleev, and D. J., Bergman, “Localization versus delocalization of surface plasmons in nanosystems: Can one state have both characteristics?” Phys. Rev. Lett., vol. 87, p. 167401 (4 pages), 2001.Google Scholar
[43] A. K., Popov and V. M., Shalaev, “Compensating losses in negative-index metamaterials by optical parametric amplification,” Opt. Lett., vol. 31, pp. 2169–2171, 2006.Google Scholar
[44] R. W., Boyd, Nonlinear Optics, 3rd ed. Academic Press, 2008.Google Scholar
[45] A. K., Popov and V. M., Shalaev, “Negative-index metamaterials: Second-harmonic generation, Manley–Rowe relations and parametric amplification,” Appl. Phys. B, vol. 84, pp. 131–137, 2006.Google Scholar
[46] A. K., Popov, S. A., Myslivets, T. F., George, and V. M., Shalaev, “Four-wave mixing, quantum control, and compensating losses in doped negative-index photonic metamaterials,” Opt. Lett., vol. 32, pp. 3044–3046, 2007.Google Scholar
[47] A. K., Popov, S. A., Myslivets, and T. F., George, “Nonlinear interference effects and alloptical switching in optically dense inhomogeneously broadened media,” Phys. Rev. A, vol. 71, p. 043811 (13 pages), 2005.Google Scholar
[48] Y. R., Shen, The Principles of Nonlinear Optics. Wiley, 1991.Google Scholar
[49] E., Roshencher and P., Bois, “Model system for optical nonlinearities: Asymmetric quantum wells,” Phys. Rev. B, vol. 44, pp. 11315–11327, 1991.Google Scholar
[50] S. L., McCall and E. L., Hahn, “Self-induced transparency by pulsed coherent light,” Phys. Rev. Lett., vol. 18, pp. 908–911, 1967.Google Scholar
[51] L., Allen and J. H., Eberly, Optical Resonance and Two-Level Atoms. Wiley InterScience, 1975.Google Scholar
[52] K., Zeng, J., Zhou, G., Kurizki, and T., Opartrny, “Backward self-induced transparency in metamaterials,” Phys. Rev. A, vol. 80, p. 061806(R) (4 pages), 2009.Google Scholar

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