6533b835fe1ef96bd129f65e
RESEARCH PRODUCT
Symmetry, winding number, and topological charge of vortex solitons in discrete-symmetry media
Miguel ÁNgel García-marchAlbert FerrandoMario ZacarésSarira SahuDaniel E. Ceballos-herreraDaniel E. Ceballos-herrerasubject
PhysicsSingularity theoryRotational symmetryDiscrete symmetriesFOS: Physical sciencesCharge (physics)Pattern Formation and Solitons (nlin.PS)VorticesGlobal symmetryNonlinear Sciences - Pattern Formation and SolitonsSolitonsTopologyAtomic and Molecular Physics and OpticsSymmetry (physics)Schrodinger equationClassical mechanicsQuantum mechanicsMATEMATICA APLICADAPhotonic Crystal FibersTopological quantum numberSymmetry numberDiscrete symmetrydescription
[EN] We determine the functional behavior near the discrete rotational symmetry axis of discrete vortices of the nonlinear Schrodinger equation. We show that these solutions present a central phase singularity whose charge is restricted by symmetry arguments. Consequently, we demonstrate that the existence of high-charged discrete vortices is related to the presence of other off-axis phase singularities, whose positions and charges are also restricted by symmetry arguments. To illustrate our theoretical results, we offer two numerical examples of high-charged discrete vortices in photonic crystal fibers showing hexagonal discrete rotational invariance
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-05-01 |