Dissipative three-wave structures in stimulated backscattering. I. A subluminous solitary attractor

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dc.contributor.authorMontes, Carlos
dc.contributor.authorMikhailov, Alexander
dc.contributor.authorPicozzi, Antonio
dc.contributor.authorGinovart, Frédéric [UNESP]
dc.contributor.institutionParc Valrose
dc.contributor.institutionLandau Institute of Theoretical Physics
dc.contributor.institutionUniversity of Leeds
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:18:10Z
dc.date.available2014-05-27T11:18:10Z
dc.date.issued1997-01-01
dc.description.abstractWe present a solitary solution of the three-wave nonlinear partial differential equation (PDE) model - governing resonant space-time stimulated Brillouin or Raman backscattering - in the presence of a cw pump and dissipative material and Stokes waves. The study is motivated by pulse formation in optical fiber experiments. As a result of the instability any initial bounded Stokes signal is amplified and evolves to a subluminous backscattered Stokes pulse whose shape and velocity are uniquely determined by the damping coefficients and the cw-pump level. This asymptotically stable solitary three-wave structure is an attractor for any initial conditions in a compact support, in contrast to the known superluminous dissipative soliton solution which calls for an unbounded support. The linear asymptotic theory based on the Kolmogorov-Petrovskii-Piskunov assertion allows us to determine analytically the wave-front slope and the subluminous velocity, which are in remarkable agreement with the numerical computation of the nonlinear PDE model when the dynamics attains the asymptotic steady regime. © 1997 The American Physical Society.en
dc.description.affiliationLaboratoire de Physique de la Matière Condensée Centre National de la Recherche Scientifique Parc Valrose, F-06108 Nice Cedex 2
dc.description.affiliationLandau Institute of Theoretical Physics, Kosygina 2, 117940 GSP-1, Moscow
dc.description.affiliationApplied Mathematics Department University of Leeds, Leeds, West Yorkshire, LS2 9JT
dc.description.affiliationInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo, SP
dc.description.affiliationUnespInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo, SP
dc.format.extent1086-1091
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.55.1086
dc.identifier.citationPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 55, n. 1 SUPPL. B, p. 1086-1091, 1997.
dc.identifier.doi10.1103/PhysRevE.55.1086
dc.identifier.file2-s2.0-0001480349.pdf
dc.identifier.issn1063-651X
dc.identifier.scopus2-s2.0-0001480349
dc.identifier.urihttp://hdl.handle.net/11449/64989
dc.language.isoeng
dc.relation.ispartofPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.titleDissipative three-wave structures in stimulated backscattering. I. A subluminous solitary attractoren
dc.typeArtigo
dcterms.licensehttp://publish.aps.org/authors/transfer-of-copyright-agreement
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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