# Quantum limit of the laser line width in chaotic cavities and statistics of residues of scattering matrix poles

@article{Schomerus2000QuantumLO, title={Quantum limit of the laser line width in chaotic cavities and statistics of residues of scattering matrix poles}, author={Henning Schomerus and Klaus M. Frahm and Michael Patra and C. W. J. Beenakker}, journal={Physica A-statistical Mechanics and Its Applications}, year={2000}, volume={278}, pages={469-496} }

The quantum-limited line width of a laser cavity is enhanced above the Schawlow–Townes value by the Petermann factor K, due to the non-orthogonality of the cavity modes. We derive the relation between the Petermann factor and the residues of poles of the scattering matrix and investigate the statistical properties of the Petermann factor for cavities in which the radiation is scattered chaotically. For a single scattering channel we determine the complete probability distribution of K and find… Expand

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