Mode conversion and propagation dynamics of controllable cross-phase beams in strongly nonlocal nonlinear media

We conduct numerical simulations of the transmission of controllable cross-phase beams in strongly nonlocal nonlinear media (SNNM), investigate the underlying physical mechanisms of mode conversion in various beam structures, and analyze the impact of cross-phase on the transmission characteristics of multibeam coupling. It is observed that nonuniformity in energy distribution during single-beam transmission drives the redistribution of transverse energy, resulting in the dynamic conversion of the beam mode. This beam mode conversion process exhibits notable stability. The initial configuration of the beam array is determined by the off-axis parameters of each constituent beam element. By adjusting the cross-phase and chirp parameters, the same array can exhibit a variety of periodic propagation behaviors. The evolution of orbital angular momentum (OAM) density is periodic, with its spatial distribution exhibiting axial symmetry. The results presented in this paper provide theoretical insights into the fields of optical communication and particle manipulation.