The Linford formula for the intensity output from a medium undergoing amplified spontaneous emission is generalized to the case when the gain coefficient is position dependent. The generalized Linford formula is of particular interest in the field of x-ray lasers, because it provides a better tool for fitting the experimental data to infer the parameters of the medium and affords more insight into the appropriate pumping scheme.
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Tommasini et al. (2000) studied this question.
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