6533b853fe1ef96bd12acd6f

RESEARCH PRODUCT

Soliton topology versus discrete symmetry in optical lattices

Albert FerrandoYaroslav V. KartashovAlexey A. EgorovLluis Torner

subject

PhysicsOptical communicationsHigh Energy Physics::LatticeFotònicaGeneral Physics and AstronomyFOS: Physical sciencesPattern Formation and Solitons (nlin.PS)Symmetry groupTopologyNonlinear Sciences - Pattern Formation and SolitonsVortexsymbols.namesake:Enginyeria de la telecomunicació::Telecomunicació òptica [Àrees temàtiques de la UPC]PhotonicsLattice (order)Bessel beamsymbolsComunicacions òptiquesSoliton:Enginyeria de la telecomunicació::Telecomunicació òptica::Fotònica [Àrees temàtiques de la UPC]Optical vortexBessel functionDiscrete symmetry

description

We address the existence of vortex solitons supported by azimuthally modulated lattices and reveal how the global lattice discrete symmetry has fundamental implications on the possible topological charges of solitons. We set a general ``charge rule'' using group-theory techniques, which holds for all lattices belonging to a given symmetry group. Focusing in the case of Bessel lattices allows us to derive also a overall stability rule for the allowed vortex solitons.

yearjournalcountryeditionlanguage
2005-07-15
http://hdl.handle.net/2117/99790