Large Petermann factor in chaotic cavities with many scattering channels

Details Large Petermann factor in chaotic cavities with many scattering channels Large Petermann factor in chaotic cavities with many scattering channels

1999-09-08

arxiv.org/abs/chao-dyn/9909012v1

Europhys. Lett. 49, pp. 48-54 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 2 figures, europhys.sty (macro included)

Scientific paper

10.1209/epl/i2000-00118-y

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 $$ 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 $\Gamma$ of the lasing mode and the number of scattering channels N. We find for $N\gg 1$ that for typical values of $\Gamma$ the average Petermann factor $\propto \sqrt{N}\gg 1$ is parametrically larger than unity.

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