Laser Physics

, Volume 20, Issue 1, pp 250–258 | Cite as

The Eikonal-SVEAS analytic closed forms for single-photon superradiance

Coherent Phenomena and Holography

Abstract

Using the Slowly Varying Envelope Approximation in Space and the Eikonal Approximation, we obtain closed-form analytic expressions for the single-photon superradiance from a spherical cloud of two-level atoms in the scalar photon theory. The value 0.171, calculated in this approximation for the value of the maximum probability of secondary excited states, agrees with those obtained from the eigenmode analysis method and from the Debye-refined method.

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References

  1. 1.
    I. D. Abella, N. A. Kurnit, and S. R. Hartmann, Phys. Rev. 141, 391 (1966).CrossRefADSGoogle Scholar
  2. 2.
    M. Scully, E. Fry, C. H. R. Ooi, and K. Wodkiewicz, Phys. Rev. Lett. 96, 010501 (2006).CrossRefADSGoogle Scholar
  3. 3.
    J. H. Eberly, J. Phys. B 39, S599 (2006).CrossRefADSGoogle Scholar
  4. 4.
    I. Mazets and G. Kurizki, J. Phys. B 40, F105 (2007).CrossRefADSGoogle Scholar
  5. 5.
    R. Friedberg and J. T. Manassah, Opt. Commun. 281, 4391 (2008).CrossRefADSGoogle Scholar
  6. 6.
    R. Friedberg and J. T. Manassah, Phys. Lett. A 372, 5734 (2008).CrossRefMathSciNetADSGoogle Scholar
  7. 7.
    R. Friedberg and J. T. Manassah, Phys. Lett. A 372, 2514 (2008).CrossRefMathSciNetADSGoogle Scholar
  8. 8.
    M. Scully, Laser Phys. 17, 635 (2007).CrossRefADSGoogle Scholar
  9. 9.
    A. A. Svidzinsky, J. T. Chang, and M. O. Scully, Phys. Rev. Lett. 100, 160504 (2008).CrossRefADSGoogle Scholar
  10. 10.
    A. Svidzinsky and J. T. Chang, Phys. Rev. A 77, 043833 (2008).CrossRefADSGoogle Scholar
  11. 11.
    A. A. Svidzinsky and M. O. Scully, Opt. Commun. 282, 2894 (2009).CrossRefADSGoogle Scholar
  12. 12.
    M. J. Stephen, J. Chem. Phys. 40, 669 (1964).CrossRefADSGoogle Scholar
  13. 13.
    R. Friedberg, S. R. Hartmann, and J. T. Manassah, Phys. Rep. 7, 101 (1973).CrossRefADSGoogle Scholar
  14. 14.
    S. Prasad and R. Glauber, Phys. Rev. A 31, 1583 (1985).CrossRefADSGoogle Scholar
  15. 15.
    J. T. Manassah, Laser Phys. 19, 2102 (2009).CrossRefGoogle Scholar
  16. 16.
    R. Friedberg, “Refinement of a Formula for Decay after Weak Coherent Excitation of a Sphere,” Annals of Physics (in press).Google Scholar
  17. 17.
    R. Friedberg and J. T. Manassah, Phys. Lett. A 372, 2787 (2008).CrossRefMathSciNetADSGoogle Scholar
  18. 18.
    J. Mostowski and B. Sobolewska, Phys. Rev. A 28, 2943 (1983).CrossRefADSGoogle Scholar
  19. 19.
    R. Friedberg and J. T. Manassah, Phys. Lett. A 373, 3423 (2009).CrossRefADSGoogle Scholar
  20. 20.
    R. Friedberg and J. T. Manassah, Phys. Lett. A 372, 5138 (2008).MathSciNetADSGoogle Scholar
  21. 21.
    M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965), p. 366, 9.3.7.Google Scholar
  22. 22.
    M. Scully, Phys. Rev. Lett. 102, 143601 (2009).CrossRefADSGoogle Scholar
  23. 23.
    R. H. Dicke, Phys. Rev. 93, 93 (1954).CrossRefADSGoogle Scholar
  24. 24.
    P. V. Zinoviev, A. A. Kalachev, A. A. Kalinkin, V. V. Samartsev, and N. B. Silaeva, Laser Phys. Lett. 1, 138 (2004).CrossRefGoogle Scholar
  25. 25.
    V. I. Yukalov and E. P. Yukalova, Laser Phys. Lett. 2, 302 (2005).CrossRefGoogle Scholar
  26. 26.
    V. I. Yukalov, Laser Phys. Lett. 2, 356 (2005).CrossRefGoogle Scholar
  27. 27.
    E. K. Bashkirov and S. V. Petrushkin, Laser Phys. 16, 1202 (2006).CrossRefADSGoogle Scholar
  28. 28.
    R. Friedberg and J. T. Manassah, Laser Phys. Lett. 4, 900 (2007).CrossRefGoogle Scholar
  29. 29.
    H. Uys and P. Meystre, Laser Phys. Lett. 5, 487 (2008).CrossRefGoogle Scholar
  30. 30.
    V. I. Yukalov, V. K. Henner, P. V. Kharebov, and E. P. Yukalova, Laser Phys. Lett. 5, 887 (2008).CrossRefGoogle Scholar
  31. 31.
    M. G. Arustamyan and V. A. Astapenko, Laser Phys. 18, 768 (2008).CrossRefADSGoogle Scholar
  32. 32.
    R. Friedberg and J. T. Manassah, Opt. Commun. 282, 3089 (2009).CrossRefADSGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Department of PhysicsColumbia UniversityNew YorkUSA
  2. 2.HMS Consultants, Inc.New YorkUSA

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