Theory of Nonlinear Optical Resonances Induced by Collisions

  • G. Grynberg
Conference paper
Part of the Springer Series in Optical Sciences book series (SSOS, volume 30)


It has been suggested by Bloembergen [1] that new resonances should appear in four-wave mixing processes in the case of large damping. These resonances occur when the difference between the frequencies of two beams is equal to a Bohr frequency for two atomic levels which are not directly populated by the light excitation. They have recently been observed by Bloembergen and his coworkers [2]. The original treatment of Bloembergen [1] was performed with the optical Bloch equations. It is well known that the validity of these equations is restricted to a small frequency range where the impact approximation can be applied [3]. We present here the theory of these resonances using the dressed-atom model [3]. The two main advantages of the present theory [4] are (i) a larger range of validity, (ii) a direct comprehension of the physical origin of these resonances.


Laser Spectroscopy Excited Level Potential Curve Population Transfer Optical Bloch Equation 
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    N. Bloembergen: In Laser Spectroscopy IV, ed. by H. Walther, K.W. Rothe, Springer Series in Optical Sciences, Vol. 21 (Springer Berlin, Heidelberg, New York 1979 ) p. 340Google Scholar
  2. 2.
    N. Bloembergen, this book and ref thereinGoogle Scholar
  3. 3.
    S. Reynaud and C. Cohen-Tannoudji, this book and ref thereinGoogle Scholar
  4. 4.
    G. Grynberg, J.Phys.B. Atom.Mol.Phys. 14, 2089 (1981)ADSCrossRefGoogle Scholar
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    S. Yeh and P.R. Berman, Phys.Rev. A22, 1403 (1980) and A19, 1106 (1979)Google Scholar
  6. 6.
    G. Grynberg, Opt.Commun. 1981 (to be published)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • G. Grynberg
    • 1
  1. 1.Laboratoire d’Optique QuantiqueEcole PolytechniquePalaiseauFrance

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