Vol. 11, No 1, 2013 pp. 75 - 83
DOI 10.2298/FUPCT1301075J
UDC 535.016
VORTEX SOLITONS AT THE INTERFACE
BETWEEN TWO PHOTONIC LATTICES
Dragana M. Jović, Aleksandra Piper, Dejan Timotijević
Institute of Physics, University of Belgrade, P. O. Box 68, 11001 Belgrade, Serbia
E-mail: jovic@ipb.ac.rs
Abstract. 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.
Key words: vortex, photonic lattice, surface soliton
VORTEKSNI SOLITONI NA GRANICI FOTONSKIH REŠETKI
Korišćenjem numeričke analize pokazano je postojanje vorteksnih solitona na granici koja deli dve različite fotonske rešetke. Razmatrani su uslovi za postojanje diskretnih vorteksnih stanja na ovakvoj granici i izučavana je njihova stabilnost. Pronađen je novi oblik površinskih vorteksnih solitona sa pet pikova. Takođe su izučavana različita topološka naelektrisanja i fazne strukture ovakvih rešenja, kao i uticaj različitih intenziteta rešetki. Pronađena su i rešenja u obliku diskretnih solitona sa šest pikova. Za manje snage ovakva rešenja su stabilna tokom propagacije, ali za veće snage ona osciluju na taj način da razmenjuju snagu između susednih pikova, ili pokazuju dinamičke nestabilnosti.
Ključne reči: vorteks, fotonska rešetka, površinski solitoni
