Delayed feedback control of the self-induced motion of localized structures of light
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1924 | |
dc.contributor.author | Vladimirov, Andrei G. | |
dc.contributor.author | Pimenov, Alexander | |
dc.contributor.author | Gurevich, Svetlana V. | |
dc.contributor.author | Panajotov, Krassimir | |
dc.contributor.author | Averlant, Eugene | |
dc.contributor.author | Tlidi, Mustapha | |
dc.date.accessioned | 2016-03-24T17:37:23Z | |
dc.date.available | 2019-06-28T08:16:41Z | |
dc.date.issued | 2014 | |
dc.description.abstract | We 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.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/2214 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3085 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This 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.license | Dieses 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.ddc | 510 | eng |
dc.subject.other | Semiconductor lasers | eng |
dc.subject.other | cacity solitions | eng |
dc.subject.other | delayed feedback | eng |
dc.subject.other | bifurcations | eng |
dc.subject.other | drift instability | eng |
dc.title | Delayed feedback control of the self-induced motion of localized structures of light | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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