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Determination of Small Number of Particles from Photocount Distribution of Scattered Light

  • Č. Koňak
  • J. Křepelka
  • J. Peřina
Conference paper

Abstract

In this contribution we suggest and verify a simple inverse solution for the problem of determining the number of scattering particles from deviations of the actual photocount statistics from the Bose-Einstein statistics.(For a general formulation of the problem and reviews, see refs. 1–3.) For this we make a fit of the experimental photocount distribution with the theoretical photocount distribution corresponding to log-normal intensity fluctuations, provided that particle fluctuations are Poissonian. Then we use the first three moments to determine the number of scattering particles in a simple way. In addition, we also demonstrate a possibility of making a good fit of the measured experimental data with the generalized Polya-Aeppli distribution; however, in this case we have found no direct way of obtaining the number of scattering particles.

References

  1. 1.
    B. Crosignani, P. Di Porto and M. Bertolotti, StatisticaZ Properties of Scattered Light ( Academic Press, New York, 1975 ).Google Scholar
  2. 2.
    E. Jakeman and P. N. Pusey, in Inverse Scattering Problems in Optics, ed. H. P. Baltes ( Springer, Berlin, 1980 ) p. 73.CrossRefGoogle Scholar
  3. 3.
    B. Saleh, Photoelectron Statistics ( Springer, Berlin, 1978 ).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Č. Koňak
    • 1
  • J. Křepelka
    • 2
  • J. Peřina
    • 2
  1. 1.The Institute for Macromolecular ChemistryPragueCzechoslovakia
  2. 2.Palackў UniversityOlomoucCzechoslovakia

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