Coherence Properties of the Electromagnetic Field

  • D.F. Walls
  • Gerard J. Milburn


In this chapter correlation functions for the electromagnetic field are introduced from which a definition of optical coherence may be formulated. It is shown that the coherent states possess nth-order optical coherence. Photon-correlation measurements and the phenomena of photon bunching and antibunching are described. Phase-dependent correlation functions which are accessible via homodyne measurements are introduced. The theory of photon counting measurements is given.


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  1. 1.
    R.J. Glauber: Phys. Rev. 130, 2529 (1963)CrossRefADSMathSciNetGoogle Scholar
  2. 2.
    M. Born, E. Wolf: Principles of Optics, 3rd edn. (Pergamon,London 1965)Google Scholar
  3. 3.
    P.A.M. Dirac: The Principles of Quantum Mechanics, 3rd edn.(Clarendon, London 1947)Google Scholar
  4. 4.
    G.I. Taylor: Proc. Cam. Phil. Soc. Math. Phys. Sci. 15, 114(1909)Google Scholar
  5. 5.
    P. Grangier, G. Roger, A. Aspect: Europhys. Lett. 1, 173 (1986)CrossRefADSGoogle Scholar
  6. 6.
    R.F. Pfleegor, L. Mandel: Phys. Rev. 159, 1084 (1967)CrossRefADSGoogle Scholar
  7. 7.
    R. Hanbury-Brown, R.W. Twiss: Nature 177, 27 (1956)CrossRefGoogle Scholar
  8. 8.
    F.T. Arecchi, E. Gatti, A. Sona: Phys. Rev. Lett. 20, 27(1966); F.T. Arecchi, Phys. Lett. 16, 32 (1966)Google Scholar
  9. 9.
    W. Demtroeder: Laser Spectroscopy, 2nd edn. (Springer,Berlin, Heidelberg 1993)Google Scholar
  10. 10.
    L. Mandel: Phys. Rev. Lett. 49, 136 (1982)CrossRefADSGoogle Scholar
  11. 11.
    H.P. Yuen, J.H. Shapiro: IEEE Trans. IT 26, 78 (1980)MATHCrossRefMathSciNetGoogle Scholar
  12. 12.
    L. Mandel: Progress in Optics 2, 183 (North-Holland,Amsterdam 1963)Google Scholar
  13. 13.
    E.R. Pike: In Quantum Optics, ed. by R.J. Glauber (Academic,New York 1970)Google Scholar
  14. 14.
    P.L. Kelley, W.H. Kleiner: Phys. Rev. 136, 316 (1964)CrossRefADSMathSciNetGoogle Scholar
  15. 15.
    M.O. Scully, W.E. Lamb: Phys. Rev. 179, 368 (1969)CrossRefADSGoogle Scholar
  16. 16.
    H.J. Carmichael: J. Opt. Soc. Am. B 4, 1588 (1987)ADSCrossRefGoogle Scholar
  17. 17.
    D. Mettzer, L. Mandel: IEEE J. QE-6, 661 (1970)CrossRefGoogle Scholar

Further Reading

  1. Meystre, P., M. Sargent III: Elements of Quantum Optics, 2nd edn. (Springer, Berlin, Heidelberg 1991)Google Scholar
  2. Perina, J.: Coherence of Light (van Nostrand Reinhold, London 1972)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • D.F. Walls
  • Gerard J. Milburn
    • 1
  1. 1.Physics DepartmentUniversity of QueenslandSt LuciaAustralia

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