Localized Dispersive States in Nonlinear Coupled Mode Equations for Light Propagation in Fiber Bragg Gratings.

Martel Escobar, Carlos and Higuera, María and Carrasco, J. (2009). Localized Dispersive States in Nonlinear Coupled Mode Equations for Light Propagation in Fiber Bragg Gratings.. "SIAM, Journal On Applied Dynamical Systems.", v. 8 (n. 2); pp. 576-591. ISSN 1536-0040. https://doi.org/10.1137/070698221.

Description

Title: Localized Dispersive States in Nonlinear Coupled Mode Equations for Light Propagation in Fiber Bragg Gratings.
Author/s:
  • Martel Escobar, Carlos
  • Higuera, María
  • Carrasco, J.
Item Type: Article
Título de Revista/Publicación: SIAM, Journal On Applied Dynamical Systems.
Date: January 2009
Volume: 8
Subjects:
Freetext Keywords: fiber Bragg gratings, nonlinear coupled mode equations, envelope equations, multiple scale methods, localized solutions
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

Dispersion effects induce new instabilities and dynamics in the weakly nonlinear description of light propagation in fiber Bragg gratings. A new family of dispersive localized pulses that propagate with the group velocity is numerically found, and its stability is also analyzed. The unavoidable different asymptotic order of transport and dispersion effects plays a crucial role in the determination of these localized states. These results are also interesting from the point of view of general pattern formation since this asymptotic imbalance is a generic situation in any transport-dominated (i.e., nonzero group velocity) spatially extended system.

More information

Item ID: 5065
DC Identifier: http://oa.upm.es/5065/
OAI Identifier: oai:oa.upm.es:5065
DOI: 10.1137/070698221
Official URL: http://www.siam.org/
Deposited by: Memoria Investigacion
Deposited on: 26 Nov 2010 12:57
Last Modified: 28 Apr 2015 15:44
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