Advertisement

Photon Statistics and Coherence in Light Beams

  • R. Vasudevan

Abstract

It was the thesis of Toynbee that great religions arise by the encounter of two great civilizations. The Graeco-Roman civilization meeting the Syrian civilization is supposed to have produced Christianity. Be that as it may, we know for certain that meeting of two disciplines of thought or even two subdisciplines in the same categories produce fascinating results. One such very fruitful encounter is the application of stochastic theory of point processes to the theory of interference in light beams. A new element was injected into this field, by the wellknown Brown and Twiss experiment1 which opened up a new chapter on “photon statistics and coherence” in optics. A semiclassical study of these coherence properties and the statistics of the ejected electrons has been carried out by Glauber, Sudarshan, and others2 using P- representations or quasi-probability distributions. These are density matrix descriptions obtained by a knowledge of the coherent state formulation of the photon fields. Mandel3 adopted a simpler procedure of obtaining the first few moments of the number of photoelectrons ejected in time internal [0, T], by taking the correlations in intensity of the photon beam at different times. They all found that the first few moments coincided with those of the Bose distribution for the number of photolectrons emitted by thermal light. However, a general method can be adopted to find the probability distribution of photoelectrons if one knows all orders of correlations in intensity existing in the incident beam.

Keywords

Light Beam Coherence Function Photon Statistics Thermal Source Product Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R. Hanbury Brown and R. Q. Twiss, Phil. Mag 45: 663 (1954) Proc. Roy. Soc. 242 A: 300 (1957); 243 A: 291 (1957).Google Scholar
  2. 2.
    R. J. Glauber, Phys. Rev. 130, 2529; Phys. Rev. 131: 2766 (1963). Sudarshan, E. C. G., Phys. Rev. Letters 10: 277 (1963); Proceedings of the Symposium on Optical Masers, John Wiley & Sons, New York, 1963; Mandel L., Sudarshan, E. C. G., Wolf, E, Proc. Phys. Soc. Lond. 84: 435 (1964).Google Scholar
  3. 3.
    L. Mandel, Proc. Phys. Soc. (London) 81: 1104, (1963).ADSCrossRefGoogle Scholar
  4. 4.
    A. Ramakrishan, Proc. Camb. Phil. Soc. 46: 595 (1950).ADSCrossRefGoogle Scholar
  5. 5.
    A. Ramakrishan, “Probability and stochastic processes” in Handbuch der Physik, Vol. 4, Springer Verlag, 1956.Google Scholar
  6. 6.
    P. I. Kuznetsov and R. L. Stratonovich, Izvestiya Akad Nauk, Nauk, SSSR Ser. Mat. 20: 167 (1956). Translated in: Nonlinear Transformations in Stochastic Processes, Pergamon, London, 1965.MATHGoogle Scholar
  7. 7.
    S. K. Srinivasan, J. Math. Phys Sci, 1 Nos. 1 and 2. p. 1, (1967).MATHGoogle Scholar
  8. 8.
    A. Einstein, Phys. Z 10: 185 (1909)Google Scholar
  9. 9.
    S. K. Srinivasan and R. Vasudevan, Nuovo Cimento 57: 185 (1967).Google Scholar
  10. 10.
    L. Mandel and E. Wolf, Rev. Mod. Phys. 37: 231 (1965).MathSciNetADSCrossRefGoogle Scholar
  11. 11.
    R.J. Glauber, Physics of Quantum Electronics, McGraw-Hill Book Company 1966, 788.Google Scholar
  12. 12.
    R. Kubo, Phys. Soc. Jap. 17: 1100 (1962).MathSciNetADSMATHCrossRefGoogle Scholar
  13. 13.
    S. K. Srinivasan and R. Vasudevan, MATSCIENCE preprint.Google Scholar

Copyright information

© Plenum Press 1969

Authors and Affiliations

  • R. Vasudevan
    • 1
  1. 1.MatscienceMadrasIndia

Personalised recommendations