Abstract
As an application of a preceding paper we set up a Fokker-Planck equation with quantum mechanically defined dissipation and fluctuation coefficients for a distribution function of the atomic variables (dipole moments and level occupation numbers) as well as of the lasing light amplitude in a laser with a homogeneously broadened line. Since the nonlinear coefficients can be linearized in appropriate coordinates well below and well above threshold, the equation can be solved with the Wang-Uhlenbeck method. Then it is easy to obtain correlation functions, spectral densities and expressions for linewidth.
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Risken, H., Schmid, C. & Weidlich, W. Fokker-Planck equation, distribution and correlation functions for laser noise. Z. Physik 194, 337–359 (1966). https://doi.org/10.1007/BF01326279
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DOI: https://doi.org/10.1007/BF01326279