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Enhanced nanoparticle detection with liquid droplet resonators

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Abstract

Whispering gallery mode particle sensing experiments are commonly performed with solid resonators, whereby the sensing volume is limited to the weak evanescent tail of the mode near the resonator surface. In this work we discuss in detail the sensitivity enhancements achievable in liquid droplet resonators wherein the stronger internal fields and convenient means of particle delivery can be exploited. Asymptotic formulae are derived for the relative resonance shift, line broadening and mode splitting of TE and TM modes in liquid droplet resonators. As a corollary the relative fraction of internal and external mode energy follows, which is shown to govern achievable sensitivity enhancements of solute concentration measurements in droplet sensors. Experimental measurements of nanoparticle concentration based on whispering gallery mode resonance broadening are also presented.

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References

  1. V.S. Ilchenko, A.B. Matsko, IEEE J. Sel. Top. Quant. 12, 15 (2006)

    Article  Google Scholar 

  2. A.B. Matsko, V.S. Ilchenko, IEEE J. Sel. Top. Quant. 12, 3 (2006)

    Article  Google Scholar 

  3. K.J. Vahala, Optical Microcavities (World Scientific: Singapore, 2004)

  4. F. Vollmer, S. Arnold, Nat. Meth. 5, 591 (2008)

    Article  Google Scholar 

  5. D.W. Vernooy, V.S. Ilchenko, H. Mabuchi, E.W. Streed, H.J. Kimble, Opt. Lett. 23, 247 (1998)

    Article  ADS  Google Scholar 

  6. V.B. Braginsky, M.L. Gorodetsky, V.S. Ilchenko, Phys. Lett. A 137, 393 (1989)

    Article  ADS  Google Scholar 

  7. I.S. Grudinin, A.B. Matsko, A.A. Savchenkov, D. Strekalov, V.S. Ilchenko, L. Maleki, Opt. Commun. 265, 33 (2006)

    Article  ADS  Google Scholar 

  8. G.S. Murugan, J.S. Wilkinson, M.N. Zervas, Opt. Express 17, 11916 (2009)

    Article  ADS  Google Scholar 

  9. I.M. White, H. Oveys, X. Fan, Opt. Lett. 31, 1319 (2008)

    Article  ADS  Google Scholar 

  10. T. Ling, L.J. Guo, Opt. Express 15, 17424 (2007)

    Article  ADS  Google Scholar 

  11. D.K. Armani, T.J. Kippenberg, S.M. Spillane, K.J. Vahala, Nature 42, 925 (2003)

    Article  ADS  Google Scholar 

  12. M.L. Gorodetsky, A.A. Savchenkov, V.S. Ilchenko, Opt. Lett. 21, 453 (1996)

    Article  ADS  Google Scholar 

  13. A. Serpenguzel, S. Arnold, G. Griffel, Opt. Lett. 20, 654 (1995)

    Article  ADS  Google Scholar 

  14. A. Yalcin, K.C. Popat, J.C. Aldridge, T.A. Desai, J. Hryniewicz, N. Chbouki, B.E. Little, O. King, V. Van, S. Chu, D. Gill, M. Anthes-Washburn, M.S. Unlu, IEEE J. Sel. Top. Quant. 12, 148 (2006)

    Article  Google Scholar 

  15. T. Beck, S. Schloer, T. Grossmann, T. Mappes, H. Kalt, Opt. Express 20, 22012 (2012)

    Article  ADS  Google Scholar 

  16. Y. Yang, J. Ward, S. Chormaic, Opt. Express 22, 6881 (2014)

    Article  ADS  Google Scholar 

  17. A. Kiraz, A. Sennaroglu, S. Doganay, M.A. Dundar, A. Kurt, H. Kalaycioglu, A.L. Demirel, Opt. Commun. 276, 145 (2007)

    Article  ADS  Google Scholar 

  18. A. Kiraz, S.C. Yorulmaz, M. Yorulmaz, A. Sennaroglu, Photonic. Nanostruct. 7, 186 (2009)

    Article  ADS  Google Scholar 

  19. M. Cai, G. Hunziker, K.J. Vahala, IEEE Photon. Technol. Lett. 11, 686 (1999)

    Article  ADS  Google Scholar 

  20. G.S. Murugan, J.S. Wilkinson, M.N. Zervas, Opt. Lett. 35, 1893 (2010)

    Article  ADS  Google Scholar 

  21. J.U. Fürst, D.V. Strekalov, D. Elser, A. Aiello, U.L. Andersen, Ch. Marquardt, G. Leuchs, Phys. Rev. Lett. 106, 113901 (2011)

    Article  ADS  Google Scholar 

  22. A.T. Rosenberger, Opt. Express 15, 12959 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  23. A.T. Rosenberger, J. Rezac, Proc. SPIE 4265, 102 (2001)

    Article  ADS  Google Scholar 

  24. F. Vollmer, D. Braun, A. Libchaber, M. Khoshsima, I. Teraoka, S. Arnold, Appl. Phys. Lett. 80, 4057 (2002)

    Article  ADS  Google Scholar 

  25. F. Vollmer, S. Arnold, D. Keng, Proc. Nat. Acad. Sci. USA 105, 20701 (2008)

    Article  ADS  Google Scholar 

  26. S. Arnold, M. Khoshsima, I. Teraoka, S. Holler, F. Vollmer, Opt. Lett. 28, 272 (2003)

    Article  ADS  Google Scholar 

  27. M.R. Foreman, W.-L. Jin, F. Vollmer, Opt. Express 22, 5491 (2014)

    Article  ADS  Google Scholar 

  28. J. Knittel, T.G. McRae, K.H. Lee, W.P. Bowen, Appl. Phys. Lett. 97, 123704 (2010)

    Article  ADS  Google Scholar 

  29. T. Lu, H. Lee, T. Chen, S. Herchak, J.-H. Kim, S.E. Fraser, R.C. Flagan, K.J. Vahala, Proc. Nat. Acad. Sci. USA 108, 5976 (2011)

    Article  ADS  Google Scholar 

  30. M.R. Foreman, F. Vollmer, New. J. Phys. 15, 083006 (2013)

    Article  ADS  Google Scholar 

  31. V.R. Dantham, S. Holler, C. Barbre, D. Keng, V. Kolchenko, S. Arnold, Nano. Lett. 13, 3347 (2013)

    Article  ADS  Google Scholar 

  32. M.D. Baaske, M.R. Foreman, F. Vollmer, Nat. Nanotech. (2014), doi: 10.1038/nnano.2014.180

  33. M. Baaske, F. Vollmer, Chem. Phys. Chem. 13, 427 (2012)

    Google Scholar 

  34. S. Avino, A. Krause, P. Malara, R. Zullo, A. Giorgini, P. De Natale, H.P. Loock, G. Gagliardi, Adv. Opt. Mat. (in press) (2014)

  35. N. Gaber, M. Malak, X. Yuan, K.N. Nguyen, P. Basset, E. Richalot, D. Angelescu, T. Bourouina, Lab Chip 13, 826 (2013)

    Article  Google Scholar 

  36. M. Born, E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, Cambridge, 1980)

  37. C.F. Bohren, D.R. Huffman, Absorption and scattering of light by small particles (John Wiley & Sons, Inc, Weinheim, 1998)

  38. I. Teraoka, S. Arnold, J. Opt. Soc. Am. B 20, 1937 (2003)

    Article  ADS  Google Scholar 

  39. H.M. Lai, P.T. Leung, K. Young, P.W. Barber, S.C. Hill, Phys. Rev. A 41, 5187 (1990)

    Article  ADS  Google Scholar 

  40. D.Q. Chowdhury, S.C. Hill, M.M. Mazumder, IEEE J. Quantum Elect. 29, 2553 (1993)

    Article  ADS  Google Scholar 

  41. J.A. Stratton, Electromagnetic theory (McGraw-Hill, New-York, 1941)

  42. C.C. Lam, P.T. Leung, K. Young, J. Opt. Soc. Am. B 9, 1585 (1992)

    Article  ADS  Google Scholar 

  43. M. Abramowitz, I. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1970)

  44. S. Arnold, R. Ramjit, D. Keng, V. Kolchenko, I. Teraoka, Faraday Disc. 137, 65 (2008)

    Article  ADS  Google Scholar 

  45. B.R. Johnson, J. Opt. Soc. Am. A 10, 343 (1993)

    Article  ADS  Google Scholar 

  46. J.A. Barnes, G. Gagliardi, H.-P. Loock, Cavity-Enhanced Spectroscopy and Sensing, edited by G. Gagliardi and H.-P. Loock (Springer-Verlag, Berlin, 2013)

  47. I. Teraoka, S. Arnold, J. Opt. Soc. Am. B 23, 1381 (2006)

    Article  ADS  Google Scholar 

  48. M.R. Foreman, F. Vollmer, Phys. Rev. A 88, 023831 (2013)

    Article  ADS  Google Scholar 

  49. A.D. Rakic, A.B. Djurisic, J.M. Elazar, M.L. Majewski, Appl. Opt. 37, 5271 (1998)

    Article  ADS  Google Scholar 

  50. I.H. Malitson, J. Opt. Soc. Am. 55, 1205 (1965)

    Article  ADS  Google Scholar 

  51. S.N. Kasarova, N.G. Sultanova, C.D. Ivanov, I.D. Nikolov, Opt. Mat. 29, 1481 (2007)

    Article  Google Scholar 

  52. S. Schiller, Appl. Opt. 32, 2181 (1993)

    Article  ADS  Google Scholar 

  53. P.R. Cooper, Appl. Opt. 21, 3413 (1982)

    Article  ADS  Google Scholar 

  54. G.M. Hale, M.R. Querry, Appl. Opt. 12, 555 (1973)

    Article  ADS  Google Scholar 

  55. L. Shao, X.-F. Jiang, X.-C. Yu, B.-B. Li, W.R. Clements, F. Vollmer, W. Wang, Y.-F. Xiao, Q. Gong, Adv. Mat. 25, 5616 (2013)

    Article  Google Scholar 

  56. J. Zhu, S.J. Özdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen, L. Yang, Nat. Phot. 4, 46 (2010)

    Article  Google Scholar 

  57. J.A. Barnes, G. Gagliardi, H.-P. Loock, Optica 1, 75 (2014)

    Article  Google Scholar 

  58. J.A. Barnes, G. Gagliardi, H.-P. Loock, Phys. Rev. A 87, 053843 (2013)

    Article  ADS  Google Scholar 

Download references

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Foreman, M.R., Avino, S., Zullo, R. et al. Enhanced nanoparticle detection with liquid droplet resonators. Eur. Phys. J. Spec. Top. 223, 1971–1988 (2014). https://doi.org/10.1140/epjst/e2014-02240-9

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  • DOI: https://doi.org/10.1140/epjst/e2014-02240-9

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