Abstract
Propagation of the Laguerre–Gaussian (LG) light beams with fractional topological charges in a moving defocusing nonlinear medium is studied. The fractional charge LG beam is constructed as a weighted superposition of the standard LG modes with integer charges. Our model is governed by a nonlocal nonlinear Schrodinger equation and describes in particular the beam propagation in the atmosphere along the earth surface with allowance for thermal nonlinearity and in the presence of a cross-wind. The numerical simulations have revealed the remarkable stability of the cross-section intensity distribution in the fractional charge LG beams during their propagation, as compared with the case of integer charge beams.
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