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An eigenvalue method to study the threshold behaviors of plasmonic nano-lasers

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Abstract

An eigenvalue method is proposed to study the threshold behaviors of plasmonic nano-lasers. The medium gain and dispersion are taken into consideration based on semi-classical laser dynamics, and therefore the lasing threshold, mode pattern, and lasing frequency can be theoretically predicted. The lasing properties of dielectric, plasmonic core, and plasmonic shell nano-lasers are investigated in details. It is found that the lasing thresholds of nano-lasers can be reduced by two orders of magnitude when introducing localized surface plasmon modes.

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References

  1. D.J. Bergman, M.I. Stockman, Phys. Rev. Lett. 90(2), 027402 (2003)

    Article  ADS  Google Scholar 

  2. M.T. Hill, Y.-S. Oei, B. Smalbrugge, Y. Zhu, T. de Vries, P.J. van Veldhoven, F.W.M. van Otten, T.J. Eijkemans, J.P. Turkiewicz, H. de Waardt, E.J. Geluk, S.-H. Kwon, Y.-H. Lee, R. Noetzel, M.K. Smit, Nat. Photonics 1, 589 (2007)

    Article  ADS  Google Scholar 

  3. M.A. Noginov, G. Zhu, A.M. Belgrave, R. Bakker, V.M. Shalaev, E.E. Narimanov, S. Stout, E. Herz, T. Suteewong, U. Wiesner, Nature 460, 1110 (2009)

    Article  ADS  Google Scholar 

  4. R.F. Oulton, V.J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, X. Zhang, Nature 461, 629 (2009)

    Article  ADS  Google Scholar 

  5. R.M. Ma, R.F. Oulton, V.J. Sorger, G. Bartal, X. Zhang, Nat. Mater. 10, 110 (2010)

    Article  ADS  Google Scholar 

  6. S.H. Kwon, J.H. Kang, C. Seassal, S.K. Kim, P. Regreny, Y.H. Lee, C.M. Lieber, H.G. Prak, Nano Lett. 10, 3679 (2010)

    Article  ADS  Google Scholar 

  7. M.P. Nezhad, A. Simic, O. Bondarenko, B. Slutsky, A. Mizrahi, L. Feng, V. Lomakin, Y. Fainman, Nat. Photonics 4, 395 (2010)

    Article  ADS  Google Scholar 

  8. C. Wu, C. Kuo, C. Wang, C. He, M. Lin, H. Ahn, S. Gwo, Nano Lett. 11, 4256 (2011)

    Article  ADS  Google Scholar 

  9. Y. Lu, J. Kim, H. Chen, C. Wu, N. Dabidian, C.E. Sanders, C. Wang, M. Lu, B. Li, X. Qiu, W. Chang, L. Chen, G. Shvets, C. Shih, S. Gwo, Science 337, 450 (2012)

    Article  ADS  Google Scholar 

  10. M.C. Gather, Nat. Photonics 6, 708 (2012)

    Article  ADS  Google Scholar 

  11. E.I. Smotrova, A.I. Nosich, Opt. Quantum Electron. 36, 213 (2004)

    Article  Google Scholar 

  12. E.I. Smotrova, A.I. Nosich, T.M. Benson, P. Sewell, IEEE J. Select. Top. Quantum Electron. 11, 1135 (2005)

    Article  Google Scholar 

  13. H.E. Türeci, A.D. Stone, B. Collier, Phys. Rev. A 74, 043822 (2006)

    Article  ADS  Google Scholar 

  14. L. Ge, Ph.D. Thesis, Yale University, 2010

  15. G. Grynberg, A. Aspect, C. Fabre, Introduction to quantum optics: from the semi-classical approach to quantized light (Cambridge University Press, Cambridge, 2010), p. 87

    Book  Google Scholar 

  16. A. Mizrahi, V. Lomakin, B.A. Slutsky, M.P. Nezhad, L. Feng, Y. Fainman, Opt. Lett. 33, 1261 (2008)

    Article  ADS  Google Scholar 

  17. L.D. Landau, E.M. Lifshitz, Electrodynamics of continuous media, 2nd edn. (Pergamon, Oxford, 1984)

    Google Scholar 

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Acknowledgments

This work was supported by the Chinese Nature Science Grant (11174281, 91123032, 61275061), and Natural Science Foundation Project of CQ CSTC (cstc2012jjjq0027, cstc2012ggC0024).

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Correspondence to Haofei Shi or Chunlei Du.

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Tang, L., Shi, H., Gao, H. et al. An eigenvalue method to study the threshold behaviors of plasmonic nano-lasers. Appl. Phys. B 113, 575–579 (2013). https://doi.org/10.1007/s00340-013-5512-4

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