Large Petermann factor in chaotic cavities with many scattering channels

1999/09/08 by K. Frahm, H. Schomerus, M. Patra +1 · 1 citation
Physics and Astronomy · #chao-dyn #cond-mat.mes-hall #nlin.CD

paper · pdf · doi:10.1209/epl/i2000-00118-y

published as Europhys. Lett. 49, pp. 48-54 (2000) · 7 pages, 2 figures, europhys.sty (macro included)

arxiv created 1999/09/08 · arxiv updated 2009/11/30

Abstract

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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