Abstract
We study wave scattering by multilayer metal-dielectric structures of a finite extent characterized by a hyperbolic-like dispersion. We find the regimes of wave propagation when substantial compensation of losses becomes possible with the use of a gain medium with realistic parameters. We discuss the Purcell effect in these structures and its possible implications on the performance of the loss compensation.
References
R. Wangberg, J. Elser, E. E. Narimanov, and V. A. Podolskiy, J. Opt. Soc. Am. B 23, 498 (2006).
J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
P. A. Belov and Y. Hao, Phys. Rev. B 73, 113110 (2006).
X. Li, S. He, and Y. Jin, Phys. Rev. B 75, 045103 (2007).
Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science 315, 1686 (2007).
W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Opt. Express 16, 5444 (2008).
Y. Xiong, Z. Liu, and X. Zhang, Appl. Phys. Lett. 93, 111116 (2008).
A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, Nature Photon. 7, 948 (2013).
T. T. Tumkur, G. Zhu, P. Black, Yu. Barnakov, C. E. Bonner, and M. A. Noginov, Appl. Phys. Lett. 99, 151115 (2011).
I. Iorsh, A. Poddubny, A. Orlov, P. Belov, and Y. S. Kivshar, Phys. Lett. A 376, 185 (2012).
H. N. Krishnamoorthy, Z. Jacob, E. Narimanov, I. Kretzschmar, and V. M. Menon, Science 336, 205 (2012).
J. Kim, V. P. Drachev, Z. Jacob, G. V. Naik, A. Boltasseva, E. E. Narimanov, and V. M. Shalaev, Opt. Express 20, 8100 (2012).
S.-A. Biehs, M. Tschikin, and P. Ben-Abdallah, Phys. Rev. Lett. 109, 104301 (2012).
J. Li, L. Fok, X. Yin, G. Bartal, and X. Zhang, Nature Mater. 8, 931 (2009).
S. Xiao, V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, Nature 466, 735 (2010).
C. M. Soukoulis and M. Wegener, Science 330, 1633 (2010).
M. I. Stockman, Phys. Rev. Lett. 106, 156802 (2011).
J. Grgić, J. R. Ott, F. Wang, O. Sigmund, A.-P. Jauho, J. Mørk, and N. A. Mortensen, Phys. Rev. Lett. 108, 183903 (2012).
N. N. Rozanov, S. V. Fedorov, R. S. Savelev, A. A. Sukhorukov, and Y. S. Kivshar, J. Exp. Theor. Phys. 114, 782 (2012).
A. Fang, T. Koschny, and C. M. Soukoulis, Phys. Rev. B 82, 121102 (2010).
J. M. Hamm, S. Wuestner, K. L. Tsakmakidis, and O. Hess, Phys. Rev. Lett. 107, 167405 (2011).
A. Fang, Z. Huang, T. Koschny, and C. M. Soukoulis, Photon. Nanostruct. 10, 276 (2012).
M. A. Noginov, G. Zhu, M. Bahoura, J. Adegoke, C. E. Small, B. A. Ritzo, V. P. Drachev, and V. M. Shalaev, Opt. Lett. 31, 3022 (2006).
M. A. Noginov, V. A. Podolskiy, G. Zhu, M. Mayy, M. Bahoura, J. A. Adegoke, B. A. Ritzo, and K. Reynolds, Opt. Express 16, 1385 (2008).
I. D. Leon and P. Berini, Nature Photon. 4, 382 (2010).
J. B. Khurgin and G. Sun, Appl. Phys. Lett. 100, 011105 (2012).
S. A. Ramakrishna and J. B. Pendry, Phys. Rev. B 67, 201101 (2003).
M. A. Vincenti, D. de Ceglia, V. Rondinone, A. Ladisa, A. D’Orazio, M. J. Bloemer, and M. Scalora, Phys. Rev. A 80, 053807 (2009).
X. Ni, S. Ishii, M. D. Thoreson, V. M. Shalaev, S. Han, S. Lee, and A. V. Kildishev, Opt. Express 19, 25242 (2011).
R. S. Savelev, I. V. Shadrivov, P. A. Belov, N. N. Rosanov, S. V. Fedorov, A. A. Sukhorukov, and Yu. S. Kivshar, Phys. Rev. B 87, 115139 (2013).
T. T. Tumkur, J. K. Kitur, B. Chu, L. Gu, V. A. Podolskiy, E. E. Narimanov, and M. A. Noginov, Appl. Phys. Lett. 101, 091105 (2012).
T. T. Tumkur, L. Gu, J. K. Kitur, E. E. Narimanov, and M. A. Noginov, Appl. Phys. Lett. 100, 161103 (2012).
E. Palik, Handbook of Optical Constants of Solids (Academic, New York, 1985).
A. A. Orlov, P. M. Voroshilov, P. A. Belov, and Y. S. Kivshar, Phys. Rev. B 84, 045424 (2011).
T. Galfsky, H. N. Krishnamoorthy, W. D. Newman, E. Narimanov, Z. Jacob, and V. M. Menon, arXiv:1404.1535 (2014).
J. Elser, V. A. Podolksiy, I. Salakhutdinov, and I. Avrutsky, Appl. Phys. Lett. 90, 191109 (2007).
A. P. Vinogradov, A. V. Dorofeenko, and I. A. Nechpurenko, Metamaterials 4, 181 (2010).
A. A. Orlov, S. V. Zhukovsky, I. V. Iorsh, and P. A. Belov, Photon. Nanostruct. Fund. Appl. 12, 213 (2014).
F. de Martini, M. Marrocco, and P. Mataloni, Phys. Rev. A 43, 2480 (1991).
M. S. Tomaš and Z. Lenac, Phys. Rev. A 56, 4197 (1997).
O. Svelto, Principles of Lasers (Springer, New York, 2010).
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Savelev, R.S., Shadrivov, I.V. & Kivshar, Y.S. Wave scattering by metal-dielectric multilayer structures with gain. Jetp Lett. 100, 731–736 (2015). https://doi.org/10.1134/S002136401423012X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S002136401423012X