Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Numerical validation of the complex Swift-Hohenberg equation for lasers
Year:2008
Research Areas
  • Mathematics
Information
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.
International
Si
JCR
Si
Title
EUROPEAN PHYSICAL JOURNAL B
ISBN
1434-6028
Impact factor JCR
1,356
Impact info
Volume
66
10.1140/epjb/e2008-00457-5
Journal number
0
From page
525
To page
530
Month
ENERO
Ranking
Participants
  • Autor: Miguel Hoyuelos (Universidad de Mar del Plata, Argentina)
  • Autor: Carlos Martel Escobar (UPM)
  • Autor: Juan Pedrosa (Universidad de Mar del Plata, Argentina)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Dinámica y estabilidad no lineal en ingeniería aeroespacial
  • Departamento: Fundamentos Matemáticos de la Tecnología Aeronáutica
S2i 2020 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)