Simulations of the nonlinear Helmholtz equation: arrest of beam collapse, nonparaxial solitons and counter-propagating beams.

@article{Baruch2008SimulationsOT,
  title={Simulations of the nonlinear Helmholtz equation: arrest of beam collapse, nonparaxial solitons and counter-propagating beams.},
  author={Guy Baruch and Gadi Fibich and Semyon Tsynkov},
  journal={Optics express},
  year={2008},
  volume={16 17},
  pages={13323-9}
}
We solve the (2+1)D nonlinear Helmholtz equation (NLH) for input beams that collapse in the simpler NLS model. Thereby, we provide the first ever numerical evidence that nonparaxiality and backscattering can arrest the collapse. We also solve the (1+1)D NLH and show that solitons with radius of only half the wavelength can propagate over forty diffraction… CONTINUE READING