Abstract
A theory of a detuned single mode laser near threshold is given using the Fokker-Planck equation technique. The Fokker-Planck equation is solved by an eigenfunction expansion. The eigenfunctions and the corresponding eigenvalues are determined by a nonhermitian operator and are calculated numerically in the threshold region. The dependence of the linewidth from the detuning is shown. In the intensity distribution the detuning enters only via a change of the scaling parameter. For the linewidth, however, an additional broadening is found. Finally it is shown that in certain cases the correlation function must not be approximated by a single exponential term.
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Seybold, K., Risken, H. On the theory of a detuned single mode laser near threshold. Z. Physik 267, 323–330 (1974). https://doi.org/10.1007/BF01669455
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DOI: https://doi.org/10.1007/BF01669455