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

Schomerus, Henning and Frahm, K. M. and Patra, M. and 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). pp. 469-496. ISSN 0378-4371

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    Abstract

    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.

    Item Type: Article
    Journal or Publication Title: Physica A: Statistical Mechanics and its Applications
    Subjects: Q Science > QC Physics
    Departments: Faculty of Science and Technology > Physics
    ID Code: 698
    Deposited By: Dr Henning Schomerus
    Deposited On: 31 Oct 2007
    Refereed?: Yes
    Published?: Published
    Last Modified: 26 Jul 2012 18:19
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/698

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