Memorias de investigación
Artículos en revistas:
Numerical validation of the complex Swift-Hohenberg equation for lasers
Año:2008
Áreas de investigación
  • Matemáticas
Datos
Descripción
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.
Internacional
Si
JCR del ISI
Si
Título de la revista
EUROPEAN PHYSICAL JOURNAL B
ISSN
1434-6028
Factor de impacto JCR
1,356
Información de impacto
Volumen
66
DOI
10.1140/epjb/e2008-00457-5
Número de revista
0
Desde la página
525
Hasta la página
530
Mes
ENERO
Ranking
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Participantes
  • Autor: Miguel Hoyuelos Universidad de Mar del Plata, Argentina
  • Autor: Carlos Martel Escobar UPM
  • Autor: Juan Pedrosa Universidad de Mar del Plata, Argentina
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Dinámica y estabilidad no lineal en ingeniería aeroespacial
  • Departamento: Fundamentos Matemáticos de la Tecnología Aeronáutica