Abstract
In order to achieve electrically pumped plasmon nano lasers, several structures, materials and methods, have been proposed recently. However, there is still a long way to find out a reliable appropriate on-chip plasmon source for commercial plasmonic integrated circuits. In this paper, a new integrated nanocavity plasmon laser is proposed, analyzed and simulated for 1550 nm free-space wavelength. Due to its significant field confinement resulted by the metal strip structure and strong interaction of plasmonic modes with the germanium quantum wells this structure has a remarkable output performance. Purcell factor of this nanocavity is about 291. Using semi-classical rate equations in combination with finite difference time domain (FDTD) cavity mode analysis, the output performance measures are estimated and confirmed with respect to various physical models and simulation tools. Simulation results for this structure which has 0.073 µm2 area show a 2.8 µW output power with 10 µA injection current and about 4.16 mW output power with the threshold pump current of 27 mA, while maintaining its performance in a wide spectral bandwidth about 1.46 THz. It also can be electrically modulated by the pump current up to 5.7 GHz.
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References
Boriskina, S., et al.: Losses in plasmonics: from mitigating energy dissipation to embracing loss-enabled functionalities. Adv. Opt. Photon. 9(4), 775–827 (2017). https://doi.org/10.1364/aop.9.000775
Buck, T., Brattain, W.: Investigations of surface recombination velocities on germanium by the photoelectromagnetic method. J. Electrochem. Soc. 102(11), 636–640 (1955). https://doi.org/10.1149/1.2429927
Cai, Yan, et al.: Analysis of threshold current behavior for bulk and quantum-well germanium laser structures. IEEE J. Sel. Top. Quantum Electron. 19(4), 1901009–1901009 (2013)
Chang, G.E., Chen, S.W., Cheng, H.H.: Tensile-strained Ge/SiGe quantum-well photodetectors on silicon substrates with extended infrared response. Opt. Express 24, 17562–17571 (2016)
Conradt, R., Aengenheister, J.: Minority carrier lifetime in highly doped Ge. Solid State Commun. 10, 321–323 (1972)
Ding, K., Ning, C.: Metallic subwavelength-cavity semiconductor nanolasers. Light Sci. Appl. 1(7), e20 (2012). https://doi.org/10.1038/lsa.2012.20
Enoch, S., Bonod, N.: Plasmonics. Springer, Heidelberg (2012)
Francs, G., et al.: Plasmonic purcell factor and coupling efficiency to surface plasmons. Implications for addressing and controlling optical nanosources. J. Opt. 18(9), 094005 (2016). https://doi.org/10.1088/2040-8978/18/9/094005
Genov, D., Oulton, R., Bartal, G., Zhang, X.: Anomalous spectral scaling of light emission rates in low-dimensional metallic nanostructures. Phys. Rev. B 83(24), 245312 (2011). https://doi.org/10.1103/physrevb.83.245312
Ghodsi, H., Kaatuzian, H.: High purcell factor achievement of notched cavity germanium multiple quantum well plasmon source. Plasmonics (2019). https://doi.org/10.1007/s11468-019-01012-w
Ginzburg, P.: Cavity quantum electrodynamics in application to plasmonics and metamaterials. Rev. Phys. 1, 120–139 (2016)
Gwo, S., Shih, C.: Semiconductor plasmonic nanolasers: current status and perspectives. Rep. Prog. Phys. 79(8), 086501 (2016). https://doi.org/10.1088/0034-4885/79/8/086501
Han, Z., Forsberg, E., He, S.: Surface plasmon Bragg gratings formed in metal-insulator-metal waveguides. IEEE Photon. Technol. Lett. 19(2), 91–93 (2007). https://doi.org/10.1109/lpt.2006.889036
Haynes, J.R., Nilsson, N.G.: The direct radiative transitions in germanium and their use in the analysis of lifetime. In Proceedings of VIIth International Conference on Physics of Semiconductors, p. 21, Dunod, Paris (1964)
Ho, J., Tatebayashi, J., Sergent, S., Fong, C., Ota, Y., Iwamoto, S., Arakawa, Y.: A nanowire-based plasmonic quantum dot laser. Nano Lett. 16(4), 2845–2850 (2016)
Hussin, R., Chen, Y., Luo, Y.: Metal-semiconductor-metal heterojunction diodes consisting of a thin layer of crystal silicon. Appl. Phys. Lett. 102(9), 093507 (2013). https://doi.org/10.1063/1.4794421
Kaatuzian, H.: Photonics, vol. 1, 5th edn. Amirkabir University Press, Tehran (2017). (in Persian)
Kim, S., Geum, D., Park, M., Kim, H., Song, J., Choi, W.: Fabrication of high-quality GaAs-based photodetector arrays on Si. Appl. Phys. Lett. 110(15), 153505 (2017). https://doi.org/10.1063/1.4980122
Lansberg, P.T.: Recombination in Semiconductors. Cambridge University Press, Cambridge (1991)
Li, H.: Refractive index of silicon and germanium and its wavelength and temperature derivatives. J. Phys. Chem. Ref. Data 9(3), 561–658 (1980). https://doi.org/10.1063/1.555624
Liu, J., et al.: Tensile-strained, n-type Ge as a gain medium for monolithic laser integration on Si. Opt Express 15(18), 11272 (2007). https://doi.org/10.1364/oe.15.011272
Liu, K., Li, N., Sadana, D., Sorger, V.: Integrated nanocavity plasmon light sources for on-chip optical interconnects. ACS Photonics 3(2), 233–242 (2016)
Ma, R., Oulton, R., Sorger, V., Zhang, X.: Plasmon lasers: coherent light source at molecular scales. Laser Photon. Rev. 7(1), 1–21 (2012). https://doi.org/10.1002/lpor.201100040
Marchetti, S., Martinelli, M., Simili, R., Giorgi, M., Fantoni, M.: Measurement of Ge electrical parameters by analyzing its optical dynamics. Phys. Script. 64, 509–511 (2001)
McPeak, K., et al.: Plasmonic films can easily be better: rules and recipes. ACS Photon. 2(3), 326–333 (2015). https://doi.org/10.1021/ph5004237
Moon, K., Park, S.: Graphene-based plasmonic switch using resonant coupling to the local plasmon resonance. Phys. Rev. Appl. 11(3), 034074 (2019). https://doi.org/10.1103/physrevapplied.11.034074
Nunes, F.D., Vasconcelos, T.C., Bezerra, M., Weiner, J.: Electromagnetic energy density in dispersive and dissipative media. J. Opt. Soc. Am. B 28, 1544–1552 (2011)
Parfenyev, V., Vergeles, S.: Quantum theory of a spaser-based nanolaser. Opt. Express 22(11), 13671 (2014). https://doi.org/10.1364/oe.22.013671
Pashaki, E.R., Kaatuzian, H., Livani, A.M.: Hydrodynamic analysis and responsivity improvement of a metal/semiconductor/metal plasmonic detector. Plasmonics 14(6), 1639–1648 (2019). https://doi.org/10.1007/s11468-019-00957-2
Purcell, E.M.: Spontaneous emission probabilities at radio frequencies. Phys. Rev. 69, 681 (1946)
Quay, R., Moglestue, C., Palankovski, V., Selberherr, S.: A temperature dependent model for the saturation velocity in semiconductor materials. Mater. Sci. Semicond. Process. 3(1–2), 149–155 (2000)
Romero, B., Arias, J., Esquivias, I., Cada, M.: Simple model for calculating the ratio of the carrier capture and escape times in quantum-well lasers. Appl. Phys. Lett. 76(12), 1504–1506 (2000). https://doi.org/10.1063/1.126077
Rumble, J., Lide, D., Bruno, T.: CRC Handbook of Chemistry and Physics, 75th edn. CRC Press, New York (1997)
Siampour, H., Kumar, S., Bozhevolnyi, S.: Nanofabrication of plasmonic circuits containing single photon sources. ACS Photon. 4(8), 1879–1884 (2017). https://doi.org/10.1021/acsphotonics.7b00374
Nanophotonic FDTD Simulation Software—Lumerical FDTD Solutions, Lumerical, 2019. [Online]. Available at http://www.lumerical.com/tcad-products/fdtd/. (Accessed: 10 Mar 2019)
Stockman, M.: The spaser as a nanoscale quantum generator and ultrafast amplifier. J. Opt. 12(2), 024004 (2010). https://doi.org/10.1088/2040-8978/12/2/024004
Taghavi, I., Kaatuzian, H., Leburton, J.: Performance optimization of multiple quantum well transistor laser. IEEE J. Quantum Electron. 49(4), 426–435 (2013). https://doi.org/10.1109/jqe.2013.2250488
Vyshnevyy, A., Fedyanin, D.: Noise reduction in plasmonic amplifiers. Appl. Phys. Express 11(6), 062002 (2018). https://doi.org/10.7567/apex.11.062002
Yakubovsky, D., Arsenin, A., Stebunov, Y., Fedyanin, D., Volkov, V.: Optical constants and structural properties of thin gold films. Opt. Express 25(21), 25574 (2017). https://doi.org/10.1364/oe.25.025574
Yokoyama, H., et al.: Controlling spontaneous emission and threshold-less laser oscillation with optical microcavities. Opt. Quantum Electron. 24(2), S245–S272 (1992). https://doi.org/10.1007/bf00625827
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Ghodsi, H., Kaatuzian, H. & Pashaki, E.R. Design and simulation of a germanium multiple quantum well metal strip nanocavity plasmon laser. Opt Quant Electron 52, 46 (2020). https://doi.org/10.1007/s11082-019-2172-6
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DOI: https://doi.org/10.1007/s11082-019-2172-6