Linear and nonlinear nonparaxial loss-proof accelerating beams induced in a coherent atomic medium

(Objective) Owing to their unique properties, nonparaxial self-accelerating beams can potentially be used for several applications. Additionally, atomic vapors are of considerable interest in the observation of important optical and photonic phenomena. However, research on nonparaxial loss-proof accelerating beams in an atomic system has been limited to this end, this study performs a numerical analysis to demonstrate nonparaxial loss-proof accelerating beams in atomic vapor with linear and nonlinear susceptibilities. (Methods) These beams, as the eigenmodes of the Helmholtz equations with linear and nonlinear losses, can propagate robustly in an absorbing atomic system and preserve their beam shape owing to their enhanced self-healing effect. Such loss-proof beams can sustain the peak intensity and the structure of their main lobe region over large distances. Meanwhile, the under-healing and over-healing effects gradually attenuate and increase the intensity of the main lobe of the non-eigenmodes during propagation, respectively. Linear loss-proof beams also exhibit a nonparaxial accelerating Talbot effect. (Result) The results indicate that atomic vapor can serve as a promising medium for the generation of nonparaxial loss-proof accelerating beams in the future.