TY - JOUR
T1 - Composite vortices in nonlinear circular waveguide arrays
AU - Leykam, Daniel
AU - Malomed, Boris
AU - Desyatnikov, Anton S.
PY - 2013/4
Y1 - 2013/4
N2 - 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.
AB - 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.
KW - cross phase modulation
KW - discrete vortex
KW - hidden vorticity
KW - linear stability
UR - http://www.scopus.com/inward/record.url?scp=84876546489&partnerID=8YFLogxK
U2 - 10.1088/2040-8978/15/4/044016
DO - 10.1088/2040-8978/15/4/044016
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AN - SCOPUS:84876546489
SN - 2040-8978
VL - 15
JO - Journal of Optics (United Kingdom)
JF - Journal of Optics (United Kingdom)
IS - 4
M1 - 044016
ER -