Abstract
It is shown that direct electric current passing through a suspension of gyrotropic nanoparticles with residual magnetization (gyrotropic liquid metacrystal) forms a unidirectional waveguide for optical radiation so that trapped light can propagate only in the direction opposite to the direction of current. The localization of electromagnetic radiation is associated with the emergence of nonuniform gyrotropy of the medium as a result of reorientation of magnetic nanoparticles in the nonuniform magnetic field of the current. By way of examples, we consider the trapping of the radiation by a plane current sheet and by a cylindrical current-carrying filament. The dispersion equations of trapped modes are derived and analyzed. The analogy with topologically protected edge photon states is considered.
Similar content being viewed by others
REFERENCES
V. M. Menon, L. I. Deych, and A. A. Lisyansky, Nat. Photon. 4, 345 (2010).
D. A. B. Miller, Nat. Photon. 4, 3 (2010).
A. Alu and N. Engheta, Nat. Photon. 2, 307 (2008).
L. Novotny, Nature (London, U.K.) 455, 887 (2008).
S. Kruk, B. Hopkins, I. I. Kravchenko, A. Miroshnichenko, D. N. Neshev, and Y. S. Kivshar, APL Photon. 1, 030801 (2016).
J. N. Anker, W. P. Hall, O. Lyandres, N. C. Shah, J. Zhao, and R. P. van Duyne, Nat. Mater. 7, 442 (2008).
Y. F. C. Chau, J.-Y. Syu, C.-T. Chao, H.-P. Chiang, and C. M. Lim, J. Phys. D: Appl. Phys. 50, 045105 (2017).
D. J. Bergman and M. I. Stockman, Phys. Rev. Lett. 90, 027402 (2003).
X. Meng, A. V. Kidishev, K. Fujita, K. Tanaka, and V. M. Shalaev, Nano Lett. 13, 4106 (2013).
S. Bang, J. Kim, G. Yoon, T. Tanaka, and J. Rho, Micromachines 9, 560 (2018).
D. Khlopin, F. Laux, W. P. Wardley, J. Martin, G. A. Wurtz, J. Plain, N. Bonod, A. V. Zayats, W. Dickson, and D. Gerard, J. Opt. Soc. Am. B 34, 691 (2017).
S. V. Li, D. G. Baranov, A. E. Krasnok, and P. A. Belov, Appl. Phys. Lett. 107, 171101 (2015).
A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Luk’yanchuk, Science (Washington, DC, U. S.) 354, aag2472 (2016).
A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, Nat. Photon. 7, 958 (2013).
O. Takayama and A. V. Lavrinenko, J. Opt. Soc. Am. B 36, F38 (2019).
A. A. Zharov, A. A. Zharov, Jr., and N. A. Zharova, J. Opt. Soc. Am. B 31, 559 (2014).
A. A. Zharov, A. A. Zharov, Jr., and N. A. Zharova, Phys. Rev. E 90, 023207 (2014).
N. A. Zharova, A. A. Zharov, and A. A. Zharov, Jr., J. Opt. Soc. Am. B 33, 594 (2016).
A. A. Zharov, Jr., N. A. Zharova, and A. A. Zharov, J. Opt. Soc. Am. B 34, 546 (2017).
A. A. Zharov, A. A. Zharov, Jr., and N. A. Zharova, Phys. Rev. A 98, 013802 (2018).
M. Liu, K. Fan, W. Padilla, X. Zhang, and I. V. Shadrivov, Adv. Mater. 28, 1553 (2016).
Y. A. Urzhumov, G. Shvets, J. A. Fan, F. Capasso, D. Brandl, and P. Nordlander, Opt. Express 15, 14129 (2007).
M. Fruhnert, S. Muhlig, F. Lederer, and C. Rockstuhl, Phys. Rev. B 89, 075408 (2014).
H. J. Zeiger and G. W. Pratt, Magnetic Interactionin Solids (Oxford Univ. Press, Oxford, 1973).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory, 3rd ed. (Pergamon, New York, 1977).
J. Zak, E. R. Moog, C. Liu, and S. D. Bader, Phys. Rev. B 43, 6423 (1991).
E. Du Tremolet de Lacheisserie, D. Gignoux, and M. Schlenker, Magnetism: Fundamentals (Springer, New York, 2005).
C. L. Kane and E. J. Mele, Phys. Rev. Lett. 95, 146802 (2005).
D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. Lett. 48, 1559 (1982).
Funding
This study was supported by the Russian Foundation for Basic Research (project no. 17-02-00281).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by N. Wadhwa
Rights and permissions
About this article
Cite this article
Zharov, A.A., Zharova, N.A. & Zharov, A.A. Optical Radiation Trapping by Current in Gyrotropic Liquid Metacrystals. J. Exp. Theor. Phys. 130, 499–505 (2020). https://doi.org/10.1134/S1063776120030188
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776120030188