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Power spectral density of self-mixing signals from a flowing Brownian motion system

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Abstract

An analytical expression for the power spectral density of the self-mixing signals from a flowing Brownian motion system irradiated by a focused Gaussian field is derived from the time autocorrelation function of the signals. The power spectral density is composed of two Voigt functions. An improved series summation method (SSM) is proposed to calculate the Voigt function. The characteristics of the power spectral density are analyzed according to the numerical results. The power spectral density can hopefully be used for measuring the flow velocity and the particle size.

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References

  1. G.H.M. van Tartwijk, D. Lenstra, Quantum Semiclassical Opt. 7, 87 (1995)

    Article  ADS  Google Scholar 

  2. N. Sano, Y. Miyasaka, S. Sudo, K. Otsuka, H. Makino, Proc. Schl. Info. Tech. & Electron. Tokai Univ., Ser. E 30, 33 (2005)

    Google Scholar 

  3. S. Sudo, Y. Miyasaka, K. Kamikariya, K. Nemoto, K. Otsuka, Jpn. J. Appl. Phys. 45, L926 (2006)

    Article  ADS  Google Scholar 

  4. S. Sudo, Y. Miyasaka, K. Otsuka, Y. Takahashi, T. Oishi, J. Ko, Opt. Express 14, 1044 (2006)

    Article  ADS  Google Scholar 

  5. S. Sudo, Y. Miyasaka, K. Nemoto, K. Kamikariya, K. Otsuka, Opt. Express 15, 8135 (2007)

    Article  ADS  Google Scholar 

  6. T. Ohtomo, S. Sudo, K. Otsuka, Appl. Opt. 48, 609 (2009)

    Article  ADS  Google Scholar 

  7. K. Otsuka, T. Ohtomo, H. Makino, S. Sudo, J. Ko, Appl. Phys. Lett. 94, 241117 (2009)

    Article  ADS  Google Scholar 

  8. S. Sudo, T. Ohtomo, Y. Takahashi, T. Oishi, K. Otsuka, Appl. Opt. 48, 4049 (2009)

    Article  ADS  Google Scholar 

  9. M. Liu, M. Wang, Proc. SPIE 6830, 68301C (2007)

    Article  ADS  Google Scholar 

  10. C. Zakian, M. Dickinson, T. King, J. Opt. A, Pure Appl. Opt. 7, S445 (2005)

    Article  ADS  Google Scholar 

  11. C. Zakian, M. Dickinson, T. King, Appl. Opt. 45, 2240 (2006)

    Article  ADS  Google Scholar 

  12. H. Wang, J. Shen, Chin. Opt. Lett. 6, 871 (2008)

    Article  Google Scholar 

  13. R. Lang, K. Kobayashi, IEEE J. Quantum Electron. QE-16, 347 (1980)

    Article  ADS  Google Scholar 

  14. H. Wang, J. Shen, B. Wang, B. Yu, Y. Xu, Appl. Phys., B Photophys. Laser Chem. 101, 173 (2010)

    Article  ADS  Google Scholar 

  15. S.P. Limandri, R.D. Bonetto, H.O.D. Rocco, J.C. Trincavelli, Spectrochim. Acta, Part B: Atom. Spectrosc. 63, 962 (2008)

    Google Scholar 

  16. W.J. Cody, Math. Comput. 23, 631 (1969)

    Article  MathSciNet  MATH  Google Scholar 

  17. H.O. Di Rocco, M. AguirreTéllez, Acta Phys. Pol. A 106, 817 (2004)

    ADS  Google Scholar 

  18. M.R. Zaghloul, Mon. Not. R. Astron. Soc. 375, 1043 (2007)

    Article  ADS  Google Scholar 

  19. G. Pagnini, R.K. Saxena, ar**v:0805.2274v1 (2008)

Download references

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Authors and Affiliations

  1. University of Shanghai for Science and Technology, Shanghai, 200093, China

    H. Wang & J. Shen

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  1. H. Wang
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  2. J. Shen
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Correspondence to J. Shen.

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Wang, H., Shen, J. Power spectral density of self-mixing signals from a flowing Brownian motion system. Appl. Phys. B 106, 127–134 (2012). https://doi.org/10.1007/s00340-011-4700-3

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  • DOI: https://doi.org/10.1007/s00340-011-4700-3

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