Numerical validation of the complex Swift-Hohenberg equation for lasers

Pedrosa, Juan and Hoyuelos, Miguel and Martel Escobar, Carlos (2008). Numerical validation of the complex Swift-Hohenberg equation for lasers. "European Physical Journal B", v. 66 (n. 4); pp. 525-530. ISSN 1434-6028. https://doi.org/10.1140/epjb/e2008-00457-5.

Description

Title: Numerical validation of the complex Swift-Hohenberg equation for lasers
Author/s:
  • Pedrosa, Juan
  • Hoyuelos, Miguel
  • Martel Escobar, Carlos
Item Type: Article
Título de Revista/Publicación: European Physical Journal B
Date: December 2008
ISSN: 1434-6028
Volume: 66
Subjects:
Freetext Keywords: PATTERN-FORMATION, DYNAMICS, CO2-LASER, OSCILLATORS, COMPETITION, DOMAINS, MODEL
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Order parameter equations, such as the complex Swift-Hohenberg (CSH) equation, offer a simplified and universal description that hold close to an instability threshold. The universality of the description refers to the fact that the same kind of instability produces the same order parameter equation. In the case of lasers, the instability usually corresponds to the emitting threshold, and the CSH equation can be obtained from the Maxwell-Bloch (MB) equations for a class C laser with small detuning. In this paper we numerically check the validity of the CSH equation as an approximation of the MB equations, taking into account that its terms are of different asymptotic order, and that, despite of having been systematically overlooked in the literature, this fact is essential in order to correctly capture the weakly nonlinear dynamics of the MB. The approximate distance to threshold range for which the CSH equation holds is also estimated.

More information

Item ID: 2157
DC Identifier: http://oa.upm.es/2157/
OAI Identifier: oai:oa.upm.es:2157
DOI: 10.1140/epjb/e2008-00457-5
Official URL: http://epjb.edpsciences.org/index.php?option=toc&url=/articles/epjb/abs/2008/23/contents/contents.html
Deposited by: Memoria Investigacion
Deposited on: 01 Feb 2010 12:12
Last Modified: 20 Apr 2016 11:54
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