Evolution of four-petal Lorentz–Gauss beams in the strongly nonlocal nonlinear media

Abstract

In this paper, the properties of four-petal Lorentz–Gaussian beams (FPLGBs) during propagation in the strongly nonlinear nonlocal media (SNNM) are investigated by using the Collins formula. The impact of the beam and media parameters on the propagation of an FPLGB is investigated analytically. The intensity distribution of an FPLGB during propagation in the SNNM evolves periodically and the initial beam profile with four beamlets disappears for enormous values of the input power.