Dark solitary vortices in defocusing media

Efremidis, NK; Papagiannis, P; Moshonas, N; Kominis, Y; Hizanidis, K; Malomed, BA

dc.contributor.author	Efremidis, NK	en
dc.contributor.author	Papagiannis, P	en
dc.contributor.author	Moshonas, N	en
dc.contributor.author	Kominis, Y	en
dc.contributor.author	Hizanidis, K	en
dc.contributor.author	Malomed, BA	en
dc.date.accessioned	2014-03-01T02:51:03Z
dc.date.available	2014-03-01T02:51:03Z
dc.date.issued	2007	en
dc.identifier.issn	0277786X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35334
dc.subject.other	Computer simulation	en
dc.subject.other	Linear stability analysis	en
dc.subject.other	Robustness (control systems)	en
dc.subject.other	Schrodinger equation	en
dc.subject.other	Vortex flow	en
dc.subject.other	Finite ambient energy	en
dc.subject.other	Nonlinear media	en
dc.subject.other	Temporal domains	en
dc.subject.other	Vortex solitons	en
dc.subject.other	Solitons	en
dc.title	Dark solitary vortices in defocusing media	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1117/12.722347	en
heal.identifier.secondary	http://dx.doi.org/10.1117/12.722347	en
heal.identifier.secondary	65820B	en
heal.publicationDate	2007	en
heal.abstract	The existence and robustness of dark vortices in bi-dispersive and/or normally dispersive self-defocusing nonlinear media is demonstrated. The underlying equation is the bi-dispersive three-dimensional nonlinear Schrdinger equation. The dark vortices are investigated numerically as well as variationally. These vortices can be considered as extensions of two-dimensional dark vortex solitons which, along the third dimension, remain localized due to the interplay between diffraction and nonlinearity. Linear stability analysis predicts that for fairly long propagation distances these objects are subject to a very weak transverse instability (in the temporal domain). On this basis the maximum growth rate of the instability is estimated. However, numerical simulations depict that 3D vortices are robust objects. Instability is observed only in the case where the vortex is subjected to relatively strong transverse perturbation. Furthermore, in our simulation is observed that a dark vortex does not break into vortices of a lower vorticity. The variational approach predicts that the synenergy content (the finite ambient energy that remains when the infinite energy of the dark object is excluded) of a vortex of high vorticity is lower than the sum of the synenergies of unitary vortices with the same pedestal. Such vortex solitary objects can be observed in optical media with normal dispersion, normal diffraction, and defocusing nonlinearity such as specific AlGaAs alloys.	en
heal.journalName	Proceedings of SPIE - The International Society for Optical Engineering	en
dc.identifier.doi	10.1117/12.722347	en
dc.identifier.volume	6582	en