| Issue |
Europhys. Lett.
Volume 49, Number 1, January I 2000
|
|
|---|---|---|
| Page(s) | 48 - 54 | |
| Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
| DOI | https://doi.org/10.1209/epl/i2000-00118-y | |
| Published online | 01 September 2002 | |
Large Petermann factor in chaotic cavities with many scattering channels
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
Received:
8
September
1999
Accepted:
26
October
1999
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 Γ of the lasing mode and the
number of scattering channels N.
We find for 
that for typical values of Γ
the average Petermann factor
is parametrically larger than unity.
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
© EDP Sciences, 2000
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