Image Reconstruction from the Modulus of the Correlation Function: A Practical Approach to the Phase Problem of Coherence Theory

  • D. Kohler
  • L. Mandel
Conference paper


As is well known from the work of Michelson, van Cittert and Zernicke, the image of an incoherent luminous object can be reconstructed from measurements of the second order correlation function of the optical field far from the source. The correlation function is a complex function that contains information both about the amplitude and the phase of the electromagnetic field. However, in most practical situations the phase of the correlation function is difficult to measure, so that experiments are usually limited to a determination of the modulus alone. The lack of phase information has then to be overcome in other ways.


Correlation Function Image Reconstruction Interference Fringe Optical Field Correlation Func 
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  1. 1.
    C.L. Mehta, Nuovo Cimento 36, 202 (1965).CrossRefGoogle Scholar
  2. 2.
    See for example, M. Born and E. Wolf, Principles of Optics, 4th ed. ( Pergamon Press, London, 1970 ) Chapter 10.Google Scholar
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    M.V.R.K. Murty, J. Opt. Soc. Am. 54, 1187 (1964).ADSCrossRefGoogle Scholar
  4. 4.
    See also D. Kohler and L. Mandel, J. Opt. Soc. Am. 60, 280 (1970).ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1973

Authors and Affiliations

  • D. Kohler
    • 1
  • L. Mandel
    • 1
  1. 1.University of RochesterRochesterUSA

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