Composite vortices in nonlinear circular waveguide arrays

It is known that, in continuous media, composite solitons with hidden vorticity, which are built of two mutually symmetric vortical components whose total angular momentum is zero, may be stable while their counterparts with explicit vorticity and nonzero total angular momentum are unstable. In this...

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Published inJournal of optics (2010) Vol. 15; no. 4; pp. 44016 - 1-8
Main Authors Leykam, Daniel, Malomed, Boris, Desyatnikov, Anton S
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.04.2013
Subjects
Angular momentum
Arrays
cross phase modulation
discrete vortex
Fluid flow
hidden vorticity
linear stability
Media
Scalars
Solitons
Vortices
Vorticity
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Summary:It is known that, in continuous media, composite solitons with hidden vorticity, which are built of two mutually symmetric vortical components whose total angular momentum is zero, may be stable while their counterparts with explicit vorticity and nonzero total angular momentum are unstable. In this work, we demonstrate that the opposite occurs in discrete media: hidden vortex states in relatively small ring chains become unstable with the increase of the total power, while explicit vortices are stable, provided that the corresponding scalar vortex state is also stable. There are also stable mixed states, in which the components are vortices with different topological charges. Additionally, degeneracies in families of composite vortex modes lead to the existence of long-lived breather states which can exhibit vortex-charge flipping in one or both components.
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ISSN:2040-8978
2040-8986
DOI:10.1088/2040-8978/15/4/044016