Vortex Structures in Saturable Media


Bakırtaş Akar İ.

VORTEX DYNAMICS AND OPTICAL VORTICES, pp.183-200, 2017 (Refereed Journals of Other Institutions) identifier

  • Publication Type: Article / Article
  • Publication Date: 2017
  • Doi Number: 10.5772/67074
  • Title of Journal : VORTEX DYNAMICS AND OPTICAL VORTICES
  • Page Numbers: pp.183-200

Abstract

In this chapter, dipole and vortex solitons are computed using spectral renormalization method in the focusing two-dimensional saturable nonlinear Schrodinger (SNLS) equation with periodic and quasicrystal lattice potentials. The nonlinear stability of these multi-humped solitons is investigated using direct simulations of the SNLS equation. It is shown that multiple vortex structures on quasicrystal lattices can be nonlinearly stable as the saturation and the external lattice may prevent the collapse. These results may have applications to investigations of localized structures in nonlinear optics and Bose-Einstein condensates.