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

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


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.


  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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