6533b872fe1ef96bd12d42db
RESEARCH PRODUCT
Vorticity cutoff in nonlinear photonic crystals
Mario ZacarésAlbert FerrandoAlbert FerrandoMiguel ÁNgel García-marchsubject
PhysicsField (physics)General Physics and AstronomyFOS: Physical sciencesPattern Formation and Solitons (nlin.PS)VorticityNonlinear Sciences - Pattern Formation and SolitonsSymmetry (physics)VortexNonlinear systemQuantum mechanicsRealization (systems)Discrete symmetryPhotonic crystaldescription
Using group theory arguments, we demonstrate that, unlike in homogeneous media, no symmetric vortices of arbitrary order can be generated in two-dimensional (2D) nonlinear systems possessing a discrete-point symmetry. The only condition needed is that the non-linearity term exclusively depends on the modulus of the field. In the particular case of 2D periodic systems, such as nonlinear photonic crystals or Bose-Einstein condensates in periodic potentials, it is shown that the realization of discrete symmetry forbids the existence of symmetric vortex solutions with vorticity higher than two.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-07-18 |