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Quantum limit of the laser line width in chaotic cavities and statistics of residues of scattering matrix poles.

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Quantum limit of the laser line width in chaotic cavities and statistics of residues of scattering matrix poles. / Schomerus, Henning; Frahm, K. M.; Patra, M. et al.
In: Physica A: Statistical Mechanics and its Applications, Vol. 278, No. 3-4, 15.04.2000, p. 469-496.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Schomerus, H, Frahm, KM, Patra, M & Beenakker, CWJ 2000, 'Quantum limit of the laser line width in chaotic cavities and statistics of residues of scattering matrix poles.', Physica A: Statistical Mechanics and its Applications, vol. 278, no. 3-4, pp. 469-496. https://doi.org/10.1016/S0378-4371(99)00602-0

APA

Schomerus, H., Frahm, K. M., Patra, M., & Beenakker, C. W. J. (2000). Quantum limit of the laser line width in chaotic cavities and statistics of residues of scattering matrix poles. Physica A: Statistical Mechanics and its Applications, 278(3-4), 469-496. https://doi.org/10.1016/S0378-4371(99)00602-0

Vancouver

Schomerus H, Frahm KM, Patra M, Beenakker CWJ. Quantum limit of the laser line width in chaotic cavities and statistics of residues of scattering matrix poles. Physica A: Statistical Mechanics and its Applications. 2000 Apr 15;278(3-4):469-496. doi: 10.1016/S0378-4371(99)00602-0

Author

Schomerus, Henning ; Frahm, K. M. ; Patra, M. et al. / Quantum limit of the laser line width in chaotic cavities and statistics of residues of scattering matrix poles. In: Physica A: Statistical Mechanics and its Applications. 2000 ; Vol. 278, No. 3-4. pp. 469-496.

Bibtex

@article{b4c6ac58a68845d9990815107f73b4ec,
title = "Quantum limit of the laser line width in chaotic cavities and statistics of residues of scattering matrix poles.",
abstract = "he quantum-limited line width of a laser cavity is enhanced above the Schawlow{\^a}��Townes value by the Petermann factor K, due to the non-orthogonality of the cavity modes. We derive the relation between the Petermann factor and the residues of poles of the scattering matrix and investigate the statistical properties of the Petermann factor for cavities in which the radiation is scattered chaotically. For a single scattering channel we determine the complete probability distribution of K and find that the average Petermann factor <K> depends non-analytically on the area of the opening, and greatly exceeds the most probable value. For an arbitrary number N of scattering channels we calculate <K> as a function of the decay rate {\^I}� of the lasing mode. We find for N>>1 that for typical values of {\^I}� the average Petermann factor <K> propto sqrt(N) >> 1 is parametrically larger than unity.",
author = "Henning Schomerus and Frahm, {K. M.} and M. Patra and Beenakker, {C. W. J.}",
year = "2000",
month = apr,
day = "15",
doi = "10.1016/S0378-4371(99)00602-0",
language = "English",
volume = "278",
pages = "469--496",
journal = "Physica A: Statistical Mechanics and its Applications",
issn = "0378-4371",
publisher = "Elsevier",
number = "3-4",

}

RIS

TY - JOUR

T1 - Quantum limit of the laser line width in chaotic cavities and statistics of residues of scattering matrix poles.

AU - Schomerus, Henning

AU - Frahm, K. M.

AU - Patra, M.

AU - Beenakker, C. W. J.

PY - 2000/4/15

Y1 - 2000/4/15

N2 - he quantum-limited line width 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. We derive the relation between the Petermann factor and the residues of poles of the scattering matrix and investigate the statistical properties of the Petermann factor for cavities in which the radiation is scattered chaotically. For a single scattering channel we determine the complete probability distribution of K and find that the average Petermann factor <K> depends non-analytically on the area of the opening, and greatly exceeds the most probable value. For an arbitrary number N of scattering channels we calculate <K> as a function of the decay rate � of the lasing mode. We find for N>>1 that for typical values of � the average Petermann factor <K> propto sqrt(N) >> 1 is parametrically larger than unity.

AB - he quantum-limited line width 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. We derive the relation between the Petermann factor and the residues of poles of the scattering matrix and investigate the statistical properties of the Petermann factor for cavities in which the radiation is scattered chaotically. For a single scattering channel we determine the complete probability distribution of K and find that the average Petermann factor <K> depends non-analytically on the area of the opening, and greatly exceeds the most probable value. For an arbitrary number N of scattering channels we calculate <K> as a function of the decay rate � of the lasing mode. We find for N>>1 that for typical values of � the average Petermann factor <K> propto sqrt(N) >> 1 is parametrically larger than unity.

U2 - 10.1016/S0378-4371(99)00602-0

DO - 10.1016/S0378-4371(99)00602-0

M3 - Journal article

VL - 278

SP - 469

EP - 496

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 3-4

ER -