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The inverse scattering method enables a generic nonlinear theory of superfluorescence. In the semiclassical theory used here the process starts from a fluctuating polarization source. The source function is expanded with respect to an appropriate function system, and in this way it can be replaced by a set of normalized random numbers. The Gelfand-Levitan-Marchenko equations are solved approximately. Delay statistics and the pulse shape are studied, and the influence of inhomogeneous broadening is discussed. Results are compared with other theories as well as with experiment.
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H. Steudel (1990) studied this question.
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