Large Petermann factor in chaotic cavities with many scattering channels
Frahm, K. · Schomerus, H. · Patra, M. · Beenakker, C. W. J.
Original · EN
The quantum-limited linewidth 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. The average Petermann factor <K> in an ensemble of cavities with chaotic scattering and broken time-reversal symmetry is calculated non-perturbatively using random-matrix theory and the supersymmetry technique, as a function of the decay rate Γ of the lasing mode and the number of scattering channels N. We find for N≫ 1 that for typical values of Γ the average Petermann factor <K>∝ √N≫ 1 is parametrically larger than unity.
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