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Bright optical beams in weakly nonlocal media: variational analysis

Bezuhanov, Kaloyan; Dreischuh, Alexander; Krolikowski, Wieslaw

Description

We employ a variational technique to describe the propagation of a Gaussian beam in a nonlinear, weakly nonlocal medium and derive the conditions for breathing soliton formation in both one and two transverse dimensions. The reduced one-dimensional results agree quantitatively with known exact nonlocal soliton solutions. We subsequently formulate a simple procedure for estimating the strength of a weak nonlocality and verify its applicability by direct numerical simulations.

dc.contributor.authorBezuhanov, Kaloyan
dc.contributor.authorDreischuh, Alexander
dc.contributor.authorKrolikowski, Wieslaw
dc.date.accessioned2009-12-16T23:31:53Z
dc.date.accessioned2010-12-20T06:03:00Z
dc.date.available2009-12-16T23:31:53Z
dc.date.available2010-12-20T06:03:00Z
dc.identifier.citationPhysical Review A 77.3 (2008): 033825/1-7
dc.identifier.issn1050-2947
dc.identifier.issn1094-1622
dc.identifier.urihttp://hdl.handle.net/10440/1016
dc.identifier.urihttp://digitalcollections.anu.edu.au/handle/10440/1016
dc.description.abstractWe employ a variational technique to describe the propagation of a Gaussian beam in a nonlinear, weakly nonlocal medium and derive the conditions for breathing soliton formation in both one and two transverse dimensions. The reduced one-dimensional results agree quantitatively with known exact nonlocal soliton solutions. We subsequently formulate a simple procedure for estimating the strength of a weak nonlocality and verify its applicability by direct numerical simulations.
dc.format7 pages
dc.publisherAmerican Physical Society
dc.rightshttp://www.sherpa.ac.uk/romeo/index.php "Author can archive pre-print (ie pre-refereeing) … post-print (ie final draft post-refereeing) … [and] publisher's version/PDF. Link to publisher version … [and] Copyright notice required. Publisher's version/PDF can be used on … employers web site." - from SHERPA/RoMEO site (as at 25/02/10). ©2008 The American Physical Society
dc.sourcePhysical Review A: Atomic, Molecular and Optical Physics
dc.source.urihttp://link.aps.org/doi/10.1103/PhysRevA.77.033825
dc.subjectKeywords: Computer simulation; Nonlinear optics; Solitons; Variational techniques; Nonlocal medium; Nonlocal solitons; Gaussian beams
dc.titleBright optical beams in weakly nonlocal media: variational analysis
dc.typeJournal article
local.identifier.citationvolume77
dc.date.issued2008-03-11
local.identifier.absfor020501
local.identifier.ariespublicationu9201385xPUB62
local.type.statusPublished Version
local.contributor.affiliationBezuhanov, Kaloyan, University of Sofia
local.contributor.affiliationDreischuh, Alexander, Research School of Physical Sciences and Engineering, Non-Linear Physics Centre
local.contributor.affiliationKrolikowski, Wieslaw, Research School of Physical Sciences and Engineering, Laser Physics Centre
local.bibliographicCitation.issue03
local.bibliographicCitation.startpage033825-1-7
local.identifier.doi10.1103/PhysRevA.77.033825
dc.date.updated2015-12-08T07:26:10Z
local.identifier.scopusID2-s2.0-40849095985
CollectionsANU Research Publications

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