Abstract
In this work we present a model of the dielectric function in plasmonic quantum dot (QD) nanolaser. A metal/semiconductor/metal structure was considered to attain plasmonic nanocavity with active region containing: QD, wetting layer and barrier. The dielectric function was calculated for both metal (Ag) and QD structure. The propagation constant of surface plasmon polariton (SPP) at the interface of Ag/InAs-QD structure was calculated and the dispersion relation of the plasmonic QD structure was evaluated. For frequencies far from plasma one, the gap between real and imaginary parts was large and a deviation from linear relation was obvious. The SPP field was strongly localized at the interface due to the effect of zero-dimensional QD structure which has application in the super-resolution and best sensitivity in optical imaging. Results of propagation length of SPP (\(L_{spp}\)) also support this. According to the \(L_{spp}\) results, the damping in the SPP energy was low in the Ag/InAs-QD compared to that in the Ag/air interface. The obtained results are in the range of experimental ones.
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Abdullah, M., Noori, F.T.M., Al-Khursan, Amin H.: Terahertz emission in ladder plus Y-configurations in double quantum dot structure. Appl. Opt. 54, 5168–5192 (2015)
Al-Khursan, A.H.: Gain of excited states in the quantum-dots. Physica E 35, 6–8 (2006)
Al-Husseini, H., Al-Khursan, A.H., Al-Dabagh, S. Y.: III-Nitride QD Lasers. The Open Nanosci J 3(1), 1–11 (2009)
Baltar, H., Drozdowicz-Tomsia, K., Goldys, E.: Propagating surface plasmons and dispersion relations for nanoscale multilayer metallic-dielectric films. In: Kim, K.Y. (ed.) Plasmonics-Principles and Applications. IntechOpen, Rijeka (2012). https://doi.org/10.5772/51218
Berini, P., Leon, I.D.: Surface plasmon–polariton amplifiers and lasers. Nat. Photon. 6, 16–24 (2012)
Bimberg, D., Kirstaedter, N., Ledentsov, N.N., Alferov, ZhI, Kopev, P.S., Ustin, V.M.: In GaAs–GaAs quantum-dot lasers. IEEE J. Sel. Top. Quantum Electron. 3, 196–205 (1997)
Chen, L.F., Ong, C.K., Neo, C.P., Varadan, V.V., Varadan, V.K.: Microwave Electronics Measurement and Materials Characterization. Wiley, Hoboken (2004)
Das, G., Coluccio, M.L., Alrasheed, S., Giugni, A., Allione, M., Torre, B., Perozziello, G., Candeloro, P., Fabrizio, E.Di: Plasmonic nanostructures for the ultrasensitive detection of biomolecules. Rivista Del Nuovo Cimento 39, 547–586 (2016)
Dionne, J.A., Sweatlock, L.A., Atwater, H.A.: Planar metal plasmon waveguides: frequency-dependent dispersion, propagation, localization, and loss beyond the free electron model. Phys. Rev. B 72, 075405 (2005)
Dwara, S.N., Al-Khursan, A.H.: Quantum efficiency of InSbBi quantum dot photodetector. Appl. Opt. 54, 9722–9727 (2015)
Han, Y.J., Li, L.H., Zhu, J., Valavanis, A., Freeman, J.R., Chen, L., Rosamond, M., Dean, P., Davies, A.G., Linfield, E.H.: Silver-based surface plasmon waveguide for terahertz quantum cascade lasers. Opt. Express 26, 3814–3827 (2018)
He, X.Y., Wang, Q.J., Yu, S.F.: Numerical study of gain-assisted terahertz hybrid plasmonic waveguide. Plasmonics 7, 571–577 (2012)
Holmström, P., Thylén, L., Bratkovsky, A.: Dielectric function of quantum dots in the strong confinement regime. J. Appl. Phys. 107, 064307 (2010)
Homola, J.: Present and future of surface plasmon resonance biosensors. Anal. Bioanal. Chem. 377, 528–539 (2003)
Homola, J.: Surface Plasmon Resonance Based Sensors. Springer, Berlin (2006)
Kim, J., Chuang, S.L.: Theoretical and experimental study of optical gain, refractive index change, and linewidth enhancement factor of p-doped quantum-dot lasers. IEEE J. Quantum Electron. 42, 942–952 (2006)
Kim, J., Laemmlin, M., Meuer, C., Bimberg, D., Eisenstein, G.: Static gain saturation model of quantum-dot semiconductor optical amplifiers. IEEE J. Quantum Electron. 44, 658–666 (2008)
Kittel, C.: Introduction to Solid State Physics, 8th edn. Wiley, Hoboken (2005)
Li, D.B., Ning, C.Z.: Giant modal gain, amplified surface plasmon-polariton propagation, and slowing down of energy velocity in a metal-semiconductor-metal structure. Phys. Rev. B 80, 153304 (2009)
Lüth, H.: Solid Surfaces, Interfaces and Thin Films. Springer, Berlin (2015)
Maier, S.A.: Plasmonics: Fundamentals and Applications. Springer, New York (2007)
Mishchenko, M.I., Travis, L.D., Lacis, A.A.: Scattering, Absorption and Emission of Light by Small Particles. Cambridge University Press, Cambridge (2002)
Ni, C.A., Chang, S., Gargas, D.J., Moore, M.C., Yang, P., Chuang, S.L.: Metal-coated zinc oxide nanocavities. IEEE J. Quantum Electron. 47, 245–251 (2011)
Okamoto, K.: Surface plasmon enhanced solid-state light-emitting devices. In: Wang, Z.M., Neogi, A. (eds.) Lecture Notes in Nanoscale Science and Technology, Nanoscale Photonics and Optoelectronics, pp. 27–46. Springer, Berlin (2011). https://doi.org/10.1007/978-1-4419-7587-4_2
Raether, H.: Surface Plasmons on Smooth and Rough Surfaces and on Gratings. Springer, Berlin (1988)
Rakic, A.D., Djurisic, A.B., Elazar, J.M., Majewski, M.L.: Optical properties of metallic films for vertical-cavity optoelectronic devices. Appl. Opt. 37, 5271–5283 (1998)
Sernelius, B.E.: Surface modes in physics. Wiley, Hoboken (2001)
Vargas, W.E.: Dielectric functions of Pd and Zr transition metals: an application of Drude-Lorentz models with simulated annealing optimization. Appl. Opt. 56, 1266–1275 (2017)
Wijesinghe, T., Premaratne, M.: Dispersion relation for surface plasmon polaritons on a Schottky junction. Opt. Express 20, 7151–7164 (2012)
Wu, B., Mathews, N., Sum, T.-C.: Plasmonic Organic Solar Cells: Charge Generation and Recombination. Springer, Singapore (2017)
Zeng, S., Baillargeat, D., Ho, H.-P., Yong, K.-T.: Nanomaterials enhanced surface plasmon resonance for biological and chemical sensing applications. Chem. Soc. Rev. 43, 3426–3452 (2014)
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Jabir, J.N., Ameen, S.M.M. & Al-Khursan, A.H. Modeling of dielectric function in plasmonic quantum dot nanolaser. Opt Quant Electron 51, 396 (2019). https://doi.org/10.1007/s11082-019-2117-0
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DOI: https://doi.org/10.1007/s11082-019-2117-0