Abstract
Photoexcited graphene can behave as the gain medium aiming to come up with the coherent radiation at low THz spectral region. However, its response is very weak because of its atomic dimensions. Herein, a different design aiming to obtain effective tunable THz amplifiers, having small dimensions and lasers with broadband operation based on active THz hyperbolic metamaterials (HMM) is demonstrated. HMMs are considered by employing multiple stacked photoexcited graphene sheets divided by dielectric spacers. Herein, we study and characterize the hyperbolic THz regime of the studied atomic active HMM. A broadband slow-wave propagation regime takes place if the graphene-based HMM system is periodically patterned. This occurs due to the hyperbolic dispersion. Doing so, reconfigurable amplification of THz waves in a broad-spectrum region is attained. This might be engineered by tuning the quasi-Fermi level of graphene. Moreover, the mechanisms leading to the increase of the frequency region of bound surface wave have been proposed in the frame of the current study.
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Argyropoulos, C., Estakhri, N.M., Monticone, F., Alù, A.: Negative refraction, gain and nonlinear effects in hyperbolic metamaterials. Opt. Express 21(12), 15037–15047 (2013)
Batrakov, K., Saroka, V. In: Fesenko, O., Yatsenko, L., Brodin, M. (eds.) Nanomater. Imaging Tech. Surf. Stud. Appl., pp. 103–115. Springer, New York (2013)
Batrakov, K., Maksimenko, S.: Graphene layered systems as a terahertz source with tuned frequency. Phys. Rev. B 95, 205408 (2017)
Batrakov, K.G., Saroka, V.A., Maksimenko, S.A., Thomsen, C.: Plasmon polariton deceleration in graphene structure. J. Nanophotonics 6, 061719 (2012)
Berreman, D.W.: Infrared absorption at longitudinal optic frequency in cubic crystal films. Phys. Rev. 130, 2193–2198 (1963)
Campione, S., Luk, T.S., Liu, S., Sinclair, M.B.: Optical properties of transiently-excited semiconductor hyperbolic metamaterials. Opt. Express 5(11), 2385–2394 (2015a)
Campione, S., Brener, I., Marquier, F.: Theory of epsilon-near-zero modes in ultrathin films. Phys. Rev. B 91, 121408 (2015b)
Chang, Y.-C., Liu, C.-H., Liu, C.-H., Zhang, S., Marder, S.R., Narimanov, E.E., Zhong, Z., Norris, T.B.: Realization of mid-infrared graphene hyperbolic metamaterials. Nat. Commun. 7, 10568 (2016)
Chen, P.Y., Jung, J.: P T symmetry and singularity-enhanced sensing based on photoexcited graphene metasurfaces. Phys. Rev. Appl. 5(6), 064018 (2016)
Falkovsky, L.A., Varlamov, A.A.: Space-time dispersion of graphene conductivity. Eur. Phys. J. B 56(4), 281–284 (2007)
Fallahi, A., Perruisseau-Carrier, J.: Design of tunable biperiodic graphene metasurfaces. Phys. Rev. B 86(19), 195408 (2012)
Felsen, L.B., Marcuvitz, N.: Radiation and Scattering of Waves. Prentice-Hall, Upper Saddle (1973)
Gric, T., Hess, O.: Tunable surface waves at the interface separating different graphene-dielectric composite hyperbolic metamaterials. Opt. Express 25, 11466–11476 (2017)
Guclu, C., Campione, S., Capolino, F.: Hyperbolic metamaterial as super absorber for scattered fields generated at its surface. Phys. Rev. B 86(20), 205130 (2012)
Guo, T., et al.: Tunable terahertz amplification based on photoexcited active graphene hyperbolic metamaterials. Opt. Mater. Express 8(12), 3941–3952 (2018)
Hill, A., Mikhailov, S.A., Ziegler, K.: Dielectric function and plasmons in graphene. EPL Europhys. Lett. 87, 27005 (2009)
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. Nat. Mater. 6(12), 946–950 (2007)
Hwang, E.H., Adam, S., Sarma, S.D.: Carrier transport in two-dimensional graphene layers. Phys. Rev. Lett. 98, 186806 (2007)
Iorsh, I.V., Mukhin, I.S., Shadrivov, I.V., Belov, P.A., Kivshar, Y.S.: Hyperbolic metamaterials based on multilayer graphene structures. Phys. Rev. B 88(3), 039904 (2013)
Jiang, L., Tang, J., Wang, Q., Wu, Y., Zheng, Z., Xiang, Y., Dai, X.: Manipulating optical Tamm state in the terahertz frequency range with graphene. Chin. Opt. Lett. 17, 020008 (2019)
Karasawa, H., Komori, T., Watanabe, T., Satou, A., Fukidome, H., Suemitsu, M., Ryzhii, V., Otsuji, T.: Observation of amplified stimulated Terahertz emission from optically pumped heteroepitaxial graphene-on-silicon materials. J. Infrared Millim. Terahertz Waves 32, 655–665 (2010)
Kidwai, O., Zhukovsky, S.V., Sipe, J.E.: Effective-medium approach to planar multilayer hyperbolic metamaterials: strengths and limitations. Phys. Rev. A 85(5), 053842 (2012)
Kliewer, K., Fuchs, R.: Collective electronic motion in a metallic slab. Phys. Rev. 153, 498–512 (1967)
Koppens, F.H., Chang, D.E., García de Abajo, F.J.: Graphene plasmonics: a platform for strong light–matter interactions. Nano Lett. 11(8), 3370–3377 (2011)
Krishnamoorthy, H.N.S., Jacob, Z., Narimanov, E., Kretzschmar, I., Menon, V.M.: Topological transitions in metamaterials. Science 336(6078), 205–209 (2012)
McAlister, A., Stern, E.: Plasma resonance absorption in thin metal films. Phys. Rev. 132, 1599–1602 (1963)
Mikhailov, S.A.: Quantum theory of third-harmonic generation in graphene. Phys. Rev. B 90, 241301 (2014)
Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiang, D., Zhang, Y., Dubonos, S.V., Grigorieva, I.V., Firsov, A.A.: Electric field effect in atomically thin carbon films. Science 306(5696), 666–669 (2004)
Othman, M.A.K., Guclu, C., Capolino, F.: Graphene-based tunable hyperbolic metamaterials and enhanced near-field absorption. Opt. Express 21(6), 7614–7632 (2013a)
Othman, M.A.K., Guclu, C., Capolino, F.: Graphene-dielectric composite metamaterials: evolution from elliptic to hyperbolic wavevector dispersion and the transverse epsilon-near-zero condition. J. Nanophotonics 7(1), 073089 (2013b)
Poddubny, A., Iorsh, I., Belov, P., Kivshar, Y.: Hyperbolic metamaterials. Nat. Photonics 7(12), 948–957 (2013)
Ryzhii, V.: Terahertz plasma waves in gated graphene heterostructures. Jpn. J. Appl. Phys. 45, L923 (2006)
Ryzhii, V., Satou, A., Otsuji, T.: Plasma waves in two-dimensional electron-hole system in gated graphene heterostructures. J. Appl. Phys. 101, 024509 (2007)
Ryzhii, V., Dubinov, A.A., Aleshkin, V.Y., Ryzhii, M., Otsuji, T.: Injection terahertz laser using the resonant inter-layer radiative transitions in double-graphene-layer structure. Appl. Phys. Lett. 103, 163507 (2013)
Sakhdari, M., et al.: “PT-symmetric metasurfaces: wave manipulation and sensing using singular points. New J. Phys. 19(6), 065002 (2018)
Smith, D.R., Schurig, D.: Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors. Phys. Rev. Lett. 90(7), 077405 (2003)
Sreekanth, K.V., De Luca, A., Strangi, G.: Negative refraction in graphene-based hyperbolic metamaterials. Appl. Phys. Lett. 103(2), 023107 (2013)
Svintsov, D., Vyurkov, V., Ryzhii, V., Otsuji, T.: Voltage-controlled surface plasmon-polaritons in double graphene layer structures. J. Appl. Phys. 113, 053701 (2013)
Vassant, S., Hugonin, J.-P., Marquier, F., Greffet, J.-J.: Berreman mode and epsilon near zero mode. Opt. Express 20, 23971–23977 (2012a)
Vassant, S., Archambault, A., Marquier, F., Pardo, F., Gennser, U., Cavanna, A., Pelouard, J., Greffet, J.-J.: Epsilon-near-zero mode for active optoelectronic devices. Phys. Rev. Lett. 109, 237401 (2012b)
Xiang, Y., Guo, J., Dai, X., Wen, S., Tang, D.: Engineered surface Bloch waves in graphene-based hyperbolic metamaterials. Opt. Express 22(3), 3054–3062 (2014)
Yan, H., et al.: Tunable infrared plasmonic devices using graphene/insulator stacks. Nat. Nanotechnol. 7, 330–334 (2012)
Zeshan Yaqoob, M., Ghaffar, A., Alkanhal, M., Ur Rehman, S.: Characteristics of light–plasmon coupling on chiral–graphene interface. J. Opt. Soc. Am. B 36, 90–95 (2019)
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Gric, T. Tunable terahertz structure based on graphene hyperbolic metamaterials. Opt Quant Electron 51, 202 (2019). https://doi.org/10.1007/s11082-019-1918-5
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DOI: https://doi.org/10.1007/s11082-019-1918-5