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Proceedings Paper

Transient Effects, Transverse Mode Coupling, And Diffraction In Swept-Gain Superradiance In The Nonlinear Regime: Evolution From The Superradiant State
Author(s): Charles M. Bowden; Farres P. Mattar
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Paper Abstract

Results of numerical calculations are presented and analyzed for pulse generation and propagation in one-and two-spacial dimensions in a medium consisting of a collection of two-level atoms which are resonantly swept-excited by an impulse excitation traveling at the speed of light in the medium. The conditions imposed for the calculation in one-spacial dimension are that T1 = T2, where T1 and T2 are the single atom relaxation and dephasing times, respectively, and that the gain, g, to loss, κ , ratio g/κ >> 1 , which determines the non-linear regime for pulse evolution. In addition, we impose that T2 >> τc, where τc is the characteristic superradiance cooperation time, so that the pulse evolves from conditions appropriate for superradiant pulse generation for sufficiently small values for the propagation distance z . We report and analyze calculational results for the transient regime of pulse buildup through the asymptotic regime of large propagation distance z where the pulse generated exhibits steady-state behavior with regard to pulse area, energy and intensity profile. Additional results of computations are presented which incorporate transverse effects and diffraction using a Gaussian radial gain profile for the initial condition and under imposed conditions comparable with those of the corresponding one-spacial dimension calculations. The results of the two sets of calculations are compared and discussed. We demonstrate and give predictive requirements for swept-gain pulse evolution from the superradiant state.

Paper Details

Date Published: 16 June 1983
PDF: 13 pages
Proc. SPIE 0369, Max Born Centenary Conf, (16 June 1983); doi: 10.1117/12.934362
Show Author Affiliations
Charles M. Bowden, U.S. Army Missile Command (United States)
Farres P. Mattar, Polytechnic Institute of New York (United States)
Massachusettes Institute of Technology (United States)


Published in SPIE Proceedings Vol. 0369:
Max Born Centenary Conf
M. John Colles; D. William Swift, Editor(s)

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