Theory of Sub-Cooperation-Limit Optical Pulses in Resonant Absorbers

  • Joseph H. Eberly
Conference paper


It has been known for some time that the interaction of spins or two-level atoms with a classical radiation field can depend in an interesting way on the existence of a certain coherence time τa, defined by [1,2]
$$\frac{1}{{\tau _a^2}} = \frac{\pi }{2}N\omega {\kappa ^2}.$$


Pulse Length Bloch Equation Area Theorem Alkali Metal Vapor Optical Bloch Equation 
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  1. 1.
    There is a very nice semi-quantitative discussion of the significance of τa due to F. T. Arecchi and E. Courtens, Phys. Rev. A2, 1730 (1970). See also A. I. Alekseev et al., JETP 19, 220 (1964).ADSCrossRefGoogle Scholar
  2. 2.
    L. Davidovich in “Electromagnetic Interactions of Two-Level Atoms,” J. H. Eberly, Ed.,Proc. 1970 Rochester Symposium (University of Rochester, January 1970), p.65 (unpublished); and L. Davidovich and J. H. Eberly, Optics Comm. 3, 32 (1971).Google Scholar
  3. 3.
    S. L. McCall and E. L. Hahn, Phys. Rev. 183, 457 (1969). See the review by G. L. Lamb, Jr., Rev. Mod. Phys. 43, 99 (1971) for many other references.ADSCrossRefGoogle Scholar
  4. 4.
    R. A. Marth, Ph.D. Thesis, Dept. of Electrical Engineering, Polytechnic Institute of Brooklyn (unpublished) (1972).Google Scholar
  5. 5.
    R. E. Slusher and H. M. Gibbs, Phys. Rev. A5, 1634 (1972). See also the paper by Slusher to this conference, Proc. of the Third Rochester Conference on Coherence and Quantum Optics, (Plenum Press, New York, 1973) p. 3, this volume.ADSCrossRefGoogle Scholar
  6. 6.
    This can be verified directly by adapting suitably a result in M. D. Crisp, Optics Comm. 59 (1969). Arguments leading to qualitatively similar conclusions are given by E. Courtens and A. Szoke, Phys. Letters 28A, 296 (1968).ADSCrossRefGoogle Scholar
  7. 7.
    J. H. Eberly and R. A. Marth (unpublished).Google Scholar

Copyright information

© Plenum Press, New York 1973

Authors and Affiliations

  • Joseph H. Eberly
    • 1
    • 2
  1. 1.Stanford UniversityStanfordUSA
  2. 2.Department of Physics and AstronomyUniversity of RochesterRochesterUSA

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