Delayed feedback control of the self-induced motion of localized structures of light

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume1924
dc.contributor.authorVladimirov, Andrei G.
dc.contributor.authorPimenov, Alexander
dc.contributor.authorGurevich, Svetlana V.
dc.contributor.authorPanajotov, Krassimir
dc.contributor.authorAverlant, Eugene
dc.contributor.authorTlidi, Mustapha
dc.date.accessioned2016-03-24T17:37:23Z
dc.date.available2019-06-28T08:16:41Z
dc.date.issued2014
dc.description.abstractWe investigate a control of the motion of localized structures of light by means of delay feedback in the transverse section of a broad area nonlinear optical system. The delayed feedback is found to induce a spontaneous motion of a solitary localized structure that is stationary and stable in the absence of feedback. We focus our analysis on an experimentally relevant system namely the Vertical-Cavity Surface-Emitting Laser (VCSEL). In the absence of the delay feedback we present experimental evidence of stationary localized structures in a 80 m aperture VCSEL. The spontaneous formation of localized structures takes place above the lasing threshold and under optical injection. Then, we consider the effect of the time-delayed optical feedback and investigate analytically the role of the phase of the feedback and the carrier lifetime on the self-mobility properties of the localized structures. We show that these two parameters affect strongly the space time dynamics of two-dimensional localized structures. We derive an analytical formula for the threshold associated with drift instability of localized structures and a normal form equation describing the slow time evolution of the speed of the moving structure.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn2198-5855
dc.identifier.urihttps://doi.org/10.34657/2214
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/3085
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.issn0946-8633eng
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subject.ddc510eng
dc.subject.otherSemiconductor laserseng
dc.subject.othercacity solitionseng
dc.subject.otherdelayed feedbackeng
dc.subject.otherbifurcationseng
dc.subject.otherdrift instabilityeng
dc.titleDelayed feedback control of the self-induced motion of localized structures of lighteng
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
Files
Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
78794968X.pdf
Size:
663.43 KB
Format:
Adobe Portable Document Format
Description: