scholarly journals Fractional discrete vortex solitons

2021 ◽  
Author(s):  
Cristian Mejía Cortés ◽  
Mario Molina
Keyword(s):  
Discrete Vortex ◽  
Vortex Solitons

Anisotropy-controlled topological stability of discrete vortex solitons in optically induced photonic lattices

2010 ◽  
Vol 35 (4) ◽  
pp. 604 ◽  
Author(s):  
Bernd Terhalle ◽  
Dennis Göries ◽  
Tobias Richter ◽  
Patrick Rose ◽  
Anton S. Desyatnikov ◽  
...  
Keyword(s):  
Topological Stability ◽  
Discrete Vortex ◽  
Photonic Lattices ◽  
Vortex Solitons ◽  
Optically Induced

scholarly journals Vortex solitons at the interface between two photonic lattices

2013 ◽  
Vol 11 (1) ◽  
pp. 75-83
Author(s):  
Dragana Jovic ◽  
Aleksandra Piper ◽  
Dejan Timotijevic
Keyword(s):  
Numerical Analysis ◽  
Discrete Vortex ◽  
Vortex States ◽  
Photonic Lattices ◽  
Phase Structures ◽  
Lower Beam ◽  
Vortex Solitons ◽  
Dynamical Instabilities ◽  
Discrete Solitons ◽  
Topological Charges

Using numerical analysis we demonstrate the existence of vortex solitons at the interface separating two different photonic lattices. We consider the conditions for the existence of discrete vortex states at such interface and also study their stability. A novel type of interface vortex solitons with five lobes is observed. Also different topological charges and phase structures of such solutions are studied, as well as influence of different lattice intensities. Other observed solutions are in the form of discrete solitons with six lobes. For lower beam powers such solutions are stable during propagation, but for higher beam powers they oscillate during propagation in a way indicating the exchange of power between neighboring lobes, or show dynamical instabilities.

Discrete vortex solitons in the anisotropic Lieb lattice

2019 ◽  
Author(s):  
Jorge Castillo-Barake ◽  
Juvenal Bassa Peñaloza ◽  
Cristian Mejía-Cortés
Keyword(s):  
Discrete Vortex ◽  
Vortex Solitons ◽  
Lieb Lattice

Observation of discrete vortex solitons

2004 ◽  
Author(s):  
Dragomir N. Neshev ◽  
Tristram J. Alexander ◽  
Elena A. Ostrovskaya ◽  
Yuri S. Kivshar ◽  
Hector Martin ◽  
...  
Keyword(s):  
Discrete Vortex ◽  
Vortex Solitons

scholarly journals Experiments on Linear and Nonlinear Localization of Optical Vortices in Optically Induced Photonic Lattices

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Daohong Song ◽  
Cibo Lou ◽  
Liqin Tang ◽  
Zhuoyi Ye ◽  
Jingjun Xu ◽  
...  
Keyword(s):  
Defect Modes ◽  
Discrete Vortex ◽  
Nonlinear Localization ◽  
Photonic Lattices ◽  
Vortex Solitons ◽  
Linear And Nonlinear ◽  
Singly Charged ◽  
Doubly Charged ◽  
Recent Experimental Work ◽  
Optically Induced

We provide a brief overview on our recent experimental work on linear and nonlinear localization of singly charged vortices (SCVs) and doubly charged vortices (DCVs) in two-dimensional optically induced photonic lattices. In the nonlinear case, vortex propagation at the lattice surface as well as inside the uniform square-shaped photonic lattices is considered. It is shown that, apart from the fundamental (semi-infinite gap) discrete vortex solitons demonstrated earlier, the SCVs can self-trap into stable gap vortex solitons under the normal four-site excitation with a self-defocusing nonlinearity, while the DCVs can be stable only under an eight-site excitation inside the photonic lattices. Moreover, the SCVs can also turn into stable surface vortex solitons under the four-site excitation at the surface of a semi-infinite photonics lattice with a self-focusing nonlinearity. In the linear case, bandgap guidance of both SCVs and DCVs in photonic lattices with a tunable negative defect is investigated. It is found that the SCVs can be guided at the negative defect as linear vortex defect modes, while the DCVs tend to turn into quadrupole-like defect modes provided that the defect strength is not too strong.

scholarly journals Observation of Discrete Vortex Solitons in Optically Induced Photonic Lattices

2004 ◽  
Vol 92 (12) ◽  
Author(s):  
Dragomir N. Neshev ◽  
Tristram J. Alexander ◽  
Elena A. Ostrovskaya ◽  
Yuri S. Kivshar ◽  
Hector Martin ◽  
...  
Keyword(s):  
Discrete Vortex ◽  
Photonic Lattices ◽  
Vortex Solitons ◽  
Optically Induced

scholarly journals Discrete vortex solitons and parity time symmetry

2013 ◽  
Vol 38 (3) ◽  
pp. 371 ◽  
Author(s):  
Daniel Leykam ◽  
Vladimir V. Konotop ◽  
Anton S. Desyatnikov
Keyword(s):  
Discrete Vortex ◽  
Time Symmetry ◽  
Vortex Solitons

scholarly journals Observation of double-charge discrete vortex solitons in hexagonal photonic lattices

2009 ◽  
Vol 79 (4) ◽  
Author(s):  
Bernd Terhalle ◽  
Tobias Richter ◽  
Kody J. H. Law ◽  
Dennis Göries ◽  
Patrick Rose ◽  
...  
Keyword(s):  
Discrete Vortex ◽  
Photonic Lattices ◽  
Vortex Solitons ◽  
Double Charge

Discrete vortex solitons

2001 ◽  
Vol 64 (2) ◽  
Author(s):  
B. A. Malomed ◽  
P. G. Kevrekidis
Keyword(s):  
Discrete Vortex ◽  
Vortex Solitons
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