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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 25 — Dec. 5, 2011
  • pp: 25242–25254

Loss-compensated and active hyperbolic metamaterials

Xingjie Ni, Satoshi Ishii, Mark D. Thoreson, Vladimir M. Shalaev, Seunghoon Han, Sangyoon Lee, and Alexander V. Kildishev  »View Author Affiliations

Optics Express, Vol. 19, Issue 25, pp. 25242-25254 (2011)

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We have studied the dispersion relations of multilayers of silver and a dye-doped dielectric using four methods: standard effective-medium theory (EMT), nonlocal-effect-corrected EMT, nonlinear equations based on the eigenmode method, and a spatial harmonic analysis method. We compare the validity of these methods and show that metallic losses can be greatly compensated by saturated gain. Two realizable applications are also proposed. Loss-compensated metal-dielectric multilayers that have hyperbolic dispersion relationships are beneficial for numerous applications such as subwavelength imaging and quantum optics.

© 2011 OSA

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(160.3918) Materials : Metamaterials

ToC Category:

Original Manuscript: August 19, 2011
Revised Manuscript: November 9, 2011
Manuscript Accepted: November 9, 2011
Published: November 23, 2011

Xingjie Ni, Satoshi Ishii, Mark D. Thoreson, Vladimir M. Shalaev, Seunghoon Han, Sangyoon Lee, and Alexander V. Kildishev, "Loss-compensated and active hyperbolic metamaterials," Opt. Express 19, 25242-25254 (2011)

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  1. R. Wangberg, J. Elser, E. E. Narimanov, and V. A. Podolskiy, “Nonmagnetic nanocomposites for optical and infrared negative-refractive-index media,” J. Opt. Soc. Am. B 23(3), 498–505 (2006). [CrossRef]
  2. 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,” Nat. Mater. 6(12), 946–950 (2007). [CrossRef] [PubMed]
  3. M. Silveirinha and N. Engheta, “Tunneling of electromagnetic energy through subwavelength channels and bends using epsilon-near-zero materials,” Phys. Rev. Lett. 97(15), 157403 (2006). [CrossRef] [PubMed]
  4. A. Alù, M. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B 75(15), 155410 (2007). [CrossRef]
  5. D. O. S. Melville and R. J. Blaikie, “Experimental comparison of resolution and pattern fidelity in single-and double-layer planar lens lithography,” J. Opt. Soc. Am. B 23(3), 461–467 (2006). [CrossRef]
  6. B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal-dielectric system,” Phys. Rev. B 74(11), 115116 (2006). [CrossRef]
  7. Z. Jacob, L. V. Alekseyev, and E. Narimanov, “Optical Hyperlens: Far-field imaging beyond the diffraction limit,” Opt. Express 14(18), 8247–8256 (2006). [CrossRef] [PubMed]
  8. A. Salandrino and N. Engheta, “Far-field subdiffraction optical microscopy using metamaterial crystals: Theory and simulations,” Phys. Rev. B 74(7), 075103 (2006). [CrossRef]
  9. Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, “Far-field optical hyperlens magnifying sub-diffraction-limited objects,” Science 315(5819), 1686 (2007). [CrossRef] [PubMed]
  10. I. I. Smolyaninov, Y. J. Hung, and C. C. Davis, “Magnifying superlens in the visible frequency range,” Science 315(5819), 1699–1701 (2007). [CrossRef] [PubMed]
  11. Z. Jacob, J. Y. Kim, G. V. Naik, A. Boltasseva, E. Narimanov, and V. M. Shalaev, “Engineering photonic density of states using metamaterials,” Appl. Phys. B-Lasers Opt. 1, 264 (2010).
  12. E. Narimanov, M. A. Noginov, H. Li, and Y. Barnakov, “Darker than black: Radiation-absorbing metamaterial,” in Quantum Electronics and Laser Science Conference, (Optical Society of America, 2010).
  13. Z. Jacob, I. Smolyaninov, and E. Narimanov, “Single photon gun: Radiative decay engineering with metamaterials,” in CLEO/QELS, (Optical Society of America, 2009).
  14. N. Mattiucci, G. D’Aguanno, M. Scalora, M. J. Bloemer, and C. Sibilia, “Transmission function properties for multi-layered structures: application to super-resolution,” Opt. Express 17(20), 17517–17529 (2009). [CrossRef] [PubMed]
  15. P. West, S. Ishii, G. Naik, N. Emani, V. M. Shalaev, and A. Boltasseva, “Searching for better plasmonic materials,” Laser Photon. Rev. 4, 765–808 (2009).
  16. M. J. Bloemer, G. D’Aguanno, M. Scalora, N. Mattiucci, and D. de Ceglia, “Energy considerations for a superlens based on metal/dielectric multilayers,” Opt. Express 16(23), 19342–19353 (2008). [CrossRef] [PubMed]
  17. J. Zhang, H. Jiang, B. Gralak, S. Enoch, G. Tayeb, and M. Lequime, “Compensation of loss to approach-1 effective index by gain in metal-dielectric stacks,” Eur. Phys. J. Appl. Phys. 46(3), 32603 (2009). [CrossRef]
  18. S. Xiao, V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H. K. Yuan, and V. M. Shalaev, “Loss-free and active optical negative-index metamaterials,” Nature 466(7307), 735–738 (2010). [CrossRef] [PubMed]
  19. M. P. H. Andresen, A. V. Skaldebo, M. W. Haakestad, H. E. Krogstad, and J. Skaar, “Effect of gain saturation in a gain compensated perfect lens,” J. Opt. Soc. Am. B 27(8), 1610–1616 (2010). [CrossRef]
  20. J. Seidel, S. Grafström, and L. Eng, “Stimulated emission of surface plasmons at the interface between a silver film and an optically pumped dye solution,” Phys. Rev. Lett. 94(17), 177401 (2005). [CrossRef] [PubMed]
  21. M. A. Noginov, G. Zhu, M. Bahoura, J. Adegoke, C. E. Small, B. A. Ritzo, V. P. Drachev, and V. M. Shalaev, “Enhancement of surface plasmons in an Ag aggregate by optical gain in a dielectric medium,” Opt. Lett. 31(20), 3022–3024 (2006). [CrossRef] [PubMed]
  22. I. De Leon and P. Berini, “Amplification of long-range surface plasmons by a dipolar gain medium,” Nat. Photonics 4(6), 382–387 (2010). [CrossRef]
  23. T. Tumkur, G. Zhu, P. Black, Y. A. Barnakov, C. E. Bonner, and M. A. Noginov, “Control of spontaneous emission with functionalized multilayered hyperbolic metamaterials,” in SPIE, (San Diego, California, USA, 2011), p. 809300.
  24. P. Yeh, Optical Waves in Layered Media (Wiley-Interscience, 2005).
  25. J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, “Nonlocal effects in effective-medium response of nanolayered metamaterials,” Appl. Phys. Lett. 90(19), 191109 (2007). [CrossRef]
  26. X. Ni, Z. Liu, A. Boltasseva, and A. V. Kildishev, “The validation of the parallel three-dimensional solver for analysis of optical plasmonic bi-periodic multilayer nanostructures,” Appl. Phys. A-Mater. 100, 365–374 (2010).
  27. Z. Liu, K. P. Chen, X. Ni, V. P. Drachev, V. M. Shalaev, and A. V. Kildishev, “Experimental verification of two-dimensional spatial harmonic analysis at oblique light incidence,” J. Opt. Soc. Am. B 27(12), 2465–2470 (2010). [CrossRef]
  28. S. Thongrattanasiri and V. A. Podolskiy, “Hypergratings: nanophotonics in planar anisotropic metamaterials,” Opt. Lett. 34(7), 890–892 (2009). [CrossRef] [PubMed]
  29. W. Chen, M. D. Thoreson, S. Ishii, A. V. Kildishev, and V. M. Shalaev, “Ultra-thin ultra-smooth and low-loss silver films on a germanium wetting layer,” Opt. Express 18(5), 5124–5134 (2010). [CrossRef] [PubMed]
  30. X. Ni, Z. Liu, and A. V. Kildishev, “PhotonicsDB: Optical constants,” (2008). doi:10254/nanohub-r3692.10.
  31. P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972). [CrossRef]
  32. Z. Liu, K.-P. Chen, X. Ni, V. P. Drachev, V. M. Shalaev, and A. V. Kildishev, “Experimental verification of two-dimensional spatial harmonic analysis at oblique light incidence,” J. Opt. Soc. Am. B 27(12), 2465–2470 (2010). [CrossRef]
  33. Y. Sivan, S. M. Xiao, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Frequency-domain simulations of a negative-index material with embedded gain,” Opt. Express 17(26), 24060–24074 (2009). [CrossRef] [PubMed]
  34. V. C. Nguyen, L. Chen, and K. Halterman, “Total transmission and total reflection by zero index metamaterials with defects,” Phys. Rev. Lett. 105(23), 233908 (2010). [CrossRef] [PubMed]
  35. S. M. Feng and K. Halterman, “Parametrically shielding electromagnetic fields by nonlinear metamaterials,” Phys. Rev. Lett. 100(6), 063901 (2008). [CrossRef] [PubMed]
  36. A. Ciattoni, C. Rizza, and E. Palange, “Transmissivity directional hysteresis of a nonlinear metamaterial slab with very small linear permittivity,” Opt. Lett. 35(13), 2130–2132 (2010). [CrossRef] [PubMed]
  37. C. Rizza, A. Ciattoni, and E. Palange, “Two-peaked and flat-top perfect bright solitons in nonlinear metamaterials with epsilon near zero,” Phys. Rev. A 83(5), 053805 (2011). [CrossRef]
  38. P. Yeh, Optical Waves in Layered Media (John Wiley & Sons, Inc., Hoboken, NJ, 1988).
  39. A. V. Kildishev and U. K. Chettiar, “Cascading optical negative index metamaterials,” Appl. Comput. Electrom. 22, 172 (2007).
  40. X. Ni, Z. Liu, F. Gu, M. G. Pacheco, J. Borneman, and A. V. Kildishev, “PhotonicsSHA-2D: Modeling of single-period multilayer optical gratings and metamaterials,” (2011). doi:10254/nanohub-r6977.12.

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