Large Petermann factor in chaotic cavities with many scattering channels

Issue		Europhys. Lett. Volume 49, Number 1, January 2000


Page(s)		48 - 54
Section		Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
DOI		http://dx.doi.org/10.1209/epl/i2000-00118-y

DOI: 10.1209/epl/i2000-00118-y

Europhys. Lett., 49 (1), p. 48 (2000)

Large Petermann factor in chaotic cavities with many scattering channels

K. M. Frahm ¹ - H. Schomerus ² - M. Patra ² - C. W. J. Beenakker ²

¹ Laboratoire de Physique Quantique, UMR 5626 du CNRS, Université Paul Sabatier
F-31062 Toulouse Cedex 4, France
² Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506
2300 RA Leiden, The Netherlands

PACS :
42.50.Lc - Quantum fluctuations, quantum noise, and quantum jumps
42.50.Ar - Photon statistics and coherence theory
42.60.Da - Resonators, cavities, amplifiers, arrays, and rings

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 $\langle K\rangle$ 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 $\langle K\rangle\propto \sqrt{N}\gg 1$ is parametrically larger than unity.

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