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Title: On the Validity of the Independent Hot-Spot Model

Abstract

The results of the independent hot-spot (IHS) model are compared to those of the underlying stochastic amplifier in the regime where the coupling of the amplifier is close to its critical value. The considered case is that of a 1D linear amplifier with at most one hot spot per interaction length. It is shown that the validity of the critical coupling given by the IHS model depends on the correlation function of the pump field and should be discussed in each particular case. The discrepancy between the IHS model and the underlying amplifier is shown to be due to the random fluctuations of the hot-spot field around its dominant, deterministic, component.

Authors:
Publication Date:
Sponsoring Org.:
(US)
OSTI Identifier:
40231054
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 87; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevLett.87.085006; Othernumber: PRLTAO000087000008085006000001; 049131PRL; PBD: 20 Aug 2001; Journal ID: ISSN 0031-9007
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLIFIERS; CORRELATION FUNCTIONS; FLUCTUATIONS; HOT SPOTS

Citation Formats

Mounaix, Philippe. On the Validity of the Independent Hot-Spot Model. United States: N. p., 2001. Web. doi:10.1103/PhysRevLett.87.085006.
Mounaix, Philippe. On the Validity of the Independent Hot-Spot Model. United States. doi:10.1103/PhysRevLett.87.085006.
Mounaix, Philippe. Mon . "On the Validity of the Independent Hot-Spot Model". United States. doi:10.1103/PhysRevLett.87.085006.
@article{osti_40231054,
title = {On the Validity of the Independent Hot-Spot Model},
author = {Mounaix, Philippe},
abstractNote = {The results of the independent hot-spot (IHS) model are compared to those of the underlying stochastic amplifier in the regime where the coupling of the amplifier is close to its critical value. The considered case is that of a 1D linear amplifier with at most one hot spot per interaction length. It is shown that the validity of the critical coupling given by the IHS model depends on the correlation function of the pump field and should be discussed in each particular case. The discrepancy between the IHS model and the underlying amplifier is shown to be due to the random fluctuations of the hot-spot field around its dominant, deterministic, component.},
doi = {10.1103/PhysRevLett.87.085006},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 8,
volume = 87,
place = {United States},
year = {2001},
month = {8}
}