Even and odd Laguerre-Gaussian chaoticons in nematic liquid crystal

Abstract

This paper investigated the propagations of odd and even Laguerre-Gaussian beams in nematic liquid crystal, and found that only the (0, 0) mode of Laguerre-Gaussian beams can form a soliton. As for the other modes of Laguerre-Gaussian beams, many of them will evolve into unbounded states with scattered remnants of energy, while some high order modes can form chaoticons, of which intensity are localized well with little scattering, and propagate over long distance. Additionally, unlike solitons, chaoticons are not sensitive to the power. Even if the incident power deviates from the critical power, some beams can still form chaoticons within a certain deviation range. These results may provide new ways to control the propagation of unstable beams. The evolution and formation of chaoticons have great value to the applications of chaotic synchronization and chaotic secure communication.