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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I. D. Abella, N. A. Kurnit, and S. R. Hartmann, Phys. Rev. 141, 391 (1966).
M. Scully, E. Fry, C. H. R. Ooi, and K. Wodkiewicz, Phys. Rev. Lett. 96, 010501 (2006).
J. H. Eberly, J. Phys. B 39, S599 (2006).
I. Mazets and G. Kurizki, J. Phys. B 40, F105 (2007).
R. Friedberg and J. T. Manassah, Opt. Commun. 281, 4391 (2008).
R. Friedberg and J. T. Manassah, Phys. Lett. A 372, 5734 (2008).
R. Friedberg and J. T. Manassah, Phys. Lett. A 372, 2514 (2008).
M. Scully, Laser Phys. 17, 635 (2007).
A. A. Svidzinsky, J. T. Chang, and M. O. Scully, Phys. Rev. Lett. 100, 160504 (2008).
A. Svidzinsky and J. T. Chang, Phys. Rev. A 77, 043833 (2008).
A. A. Svidzinsky and M. O. Scully, Opt. Commun. 282, 2894 (2009).
M. J. Stephen, J. Chem. Phys. 40, 669 (1964).
R. Friedberg, S. R. Hartmann, and J. T. Manassah, Phys. Rep. 7, 101 (1973).
S. Prasad and R. Glauber, Phys. Rev. A 31, 1583 (1985).
J. T. Manassah, Laser Phys. 19, 2102 (2009).
R. Friedberg, “Refinement of a Formula for Decay after Weak Coherent Excitation of a Sphere,” Annals of Physics (in press).
R. Friedberg and J. T. Manassah, Phys. Lett. A 372, 2787 (2008).
J. Mostowski and B. Sobolewska, Phys. Rev. A 28, 2943 (1983).
R. Friedberg and J. T. Manassah, Phys. Lett. A 373, 3423 (2009).
R. Friedberg and J. T. Manassah, Phys. Lett. A 372, 5138 (2008).
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965), p. 366, 9.3.7.
M. Scully, Phys. Rev. Lett. 102, 143601 (2009).
R. H. Dicke, Phys. Rev. 93, 93 (1954).
P. V. Zinoviev, A. A. Kalachev, A. A. Kalinkin, V. V. Samartsev, and N. B. Silaeva, Laser Phys. Lett. 1, 138 (2004).
V. I. Yukalov and E. P. Yukalova, Laser Phys. Lett. 2, 302 (2005).
V. I. Yukalov, Laser Phys. Lett. 2, 356 (2005).
E. K. Bashkirov and S. V. Petrushkin, Laser Phys. 16, 1202 (2006).
R. Friedberg and J. T. Manassah, Laser Phys. Lett. 4, 900 (2007).
H. Uys and P. Meystre, Laser Phys. Lett. 5, 487 (2008).
V. I. Yukalov, V. K. Henner, P. V. Kharebov, and E. P. Yukalova, Laser Phys. Lett. 5, 887 (2008).
M. G. Arustamyan and V. A. Astapenko, Laser Phys. 18, 768 (2008).
R. Friedberg and J. T. Manassah, Opt. Commun. 282, 3089 (2009).
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Friedberg, R., Manassah, J.T. The Eikonal-SVEAS analytic closed forms for single-photon superradiance. Laser Phys. 20, 250–258 (2010). https://doi.org/10.1134/S1054660X10010056
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DOI: https://doi.org/10.1134/S1054660X10010056