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

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.

2010 ◽  
Vol 35 (4) ◽  
pp. 604 ◽  
Author(s):  
Bernd Terhalle ◽  
Dennis Göries ◽  
Tobias Richter ◽  
Patrick Rose ◽  
Anton S. Desyatnikov ◽  
...  

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Daohong Song ◽  
Cibo Lou ◽  
Liqin Tang ◽  
Zhuoyi Ye ◽  
Jingjun Xu ◽  
...  

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.


2004 ◽  
Vol 92 (12) ◽  
Author(s):  
Dragomir N. Neshev ◽  
Tristram J. Alexander ◽  
Elena A. Ostrovskaya ◽  
Yuri S. Kivshar ◽  
Hector Martin ◽  
...  

2009 ◽  
Vol 79 (4) ◽  
Author(s):  
Bernd Terhalle ◽  
Tobias Richter ◽  
Kody J. H. Law ◽  
Dennis Göries ◽  
Patrick Rose ◽  
...  

2004 ◽  
Vol 92 (12) ◽  
Author(s):  
Hector Martin ◽  
Eugenia D. Eugenieva ◽  
Zhigang Chen ◽  
Demetrios N. Christodoulides

2006 ◽  
Vol 86 (3) ◽  
pp. 399-405 ◽  
Author(s):  
B. Terhalle ◽  
A.S. Desyatnikov ◽  
C. Bersch ◽  
D. Träger ◽  
L. Tang ◽  
...  

1982 ◽  
Vol 104 (2) ◽  
pp. 207-213 ◽  
Author(s):  
T. Sarpkaya ◽  
H. K. Kline

Measurement of the forces acting on a circular cylinder and those on three other noncircular cylinders is reported. The results confirm and quantify the profound effects of the shedding of the first two or three vortices on all the characteristics of resistance and demonstrate that the evolution of the flow, and hence the forces, significantly depend on whether the separation points are fixed or mobile, or a combination thereof. The data are expected to form the basis of future numerical analysis based on refined discrete vortex models.


Author(s):  
Matthias Heinrich ◽  
Robert Keil ◽  
Felix Dreisow ◽  
Andreas Tünnermann ◽  
Stefan Nolte ◽  
...  

2004 ◽  
Vol 92 (12) ◽  
Author(s):  
Jason W. Fleischer ◽  
Guy Bartal ◽  
Oren Cohen ◽  
Ofer Manela ◽  
Mordechai Segev ◽  
...  

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