Multiple-Time-Scale Analysis of Coherent Radiation

  • Paul S. Lee
  • Y. C. Lee
Conference paper


The Multiple-Time-Scale Perturbation Theory (MTSPT) was first developed by Krylov and Bogoliubov[1] for solving nonlinear mechanical problems. In 1963, Frieman[2] and Sandri[3] extended this method to study the kinetic theory of gases, making use of the existence of several distinct time scales in that theory.


Interparticle Distance Coherent Radiation Extra Degree Lorentzian Line Shape Atomic Dipole Moment 
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  1. 1.
    N.M. Krylov and N.N. Bogoliubov, Introduction to Nonlinear Mechanics, (trans, by Kraus Reprint Co., Millwood, N.Y., 1943 ).Google Scholar
  2. 2.
    E.A. Frieman, J. Math. Phys. 4, 410 (1963).MathSciNetADSMATHCrossRefGoogle Scholar
  3. 3.
    G. Sandri, Phys. Rev. Letters 11, 178 (1963).MathSciNetMATHCrossRefGoogle Scholar
  4. 4.
    R.H. Dicke, Phys. Rev. 93, 99 (1954), Y.C. Lee and D.L. Lin, Phys. Rev. 183, 147 (1969), ibid. 183, 150 (1969) and references contained therein.ADSMATHCrossRefGoogle Scholar
  5. 5.
    H.G. Kuhn and J.M. Vaughan, Proc. Roy. Soc. (London) A277, 297 (1964).ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1973

Authors and Affiliations

  • Paul S. Lee
    • 1
  • Y. C. Lee
    • 1
  1. 1.State University of New YorkBuffaloUSA

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