Photo-Counting Inversion in Presence of Dead Time Effects

  • C. L. Mehta
Conference paper

Abstract

The problem of obtaining information about the statistical properties of light from the photocounting statistics is of considerable interest and is referred to as the photocounting inversion problem. It is well known[1] that if one assumes the different photocounts to be statistically independent then the counting distribution p(n,T) is the Poisson transform of the probability density P(W) of the integrated intensity W:
$${\rm{p}}\left( {{\rm{n,T}}} \right) = \mathop \smallint \limits_o^\infty {\rm{dW}}\,{\rm{P}}\left( {\rm{W}} \right){{\rm{e}}^{{\rm{ - \alpha W}}}}\frac{{{{\left( {{\rm{\alpha W}}} \right)}^{\rm{n}}}}}{{{\rm{n!}}}}{\rm{;W}} = \mathop \smallint \limits_o^T {\rm{I}}\left( {\rm{t}} \right){\rm{dt}}.$$
(1)

Keywords

Coherence Kelly Mandel 

References

  1. 1.
    L. Mandel, Proc. Phys. Soc. (London) 72, 1037 (1958); P. L. Kelly and W. H. Kleiner, Phys. Rev. 136, A316 (1964); L. Mandel, E. C. G. Sudarshan and E. Wolf, Proc. Phys. Soc (London) 84, 435 (1964).ADSCrossRefGoogle Scholar
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    E. Wolf and C. L. Mehta, Phys. Rev. Letters 13, 705 (1964).ADSCrossRefGoogle Scholar
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    G. Bédard, Phys. Rev. 161, 1304 (1967).ADSCrossRefGoogle Scholar
  4. 4.
    C. L. Mehta, Progress in Optics Vol. VIII, ed. E. Wolf, ( North Holland Publishing Co., Amsterdam, 1970 ) p. 375.Google Scholar
  5. 5.
    G. Bédard, Proc. Phys. Soc. (London) 90, 131 (1967).ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1973

Authors and Affiliations

  • C. L. Mehta
    • 1
  1. 1.Indian Institute of TechnologyNew DelhiIndia

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