The manipulation of the light field has significant scientific significance. Different laser beams have different light field modes, exhibiting diversity during transmission. Different transmission modes can be obtained through different regulation methods, and mode transformation control can be achieved. In nonlocal nonlinear media, various multipole beams have their own unique modes of variation, which can form either narrow soliton forms with unchanged optical field modes or generalized soliton forms with periodic changes in optical field modes. If initial orbital angular momentum is added to the constructed beam array and complex structured beams, it can achieve mode transformation and transmission of different trajectories for the diversity of the beam array and complex beams. This has scientific significance for constructing complex optical networks. We conducted a detailed study on the mode transformation and transmission trajectory of various beam arrays and complex structured beams, including beam arrays with traditional orbital angular momentum and cross phase complex structured beams that can generate orbital angular momentum, and obtained a rich variety of mode changes. We analyzed the effects of various beam parameters on the transmission trajectory, rotation speed, and rotation angular velocity, in order to further control the transformation of beam modes.

Zhenjun Yang, a professor at Hebei Normal University, is currently the Vice Dean of College of Physics at Hebei Normal University and the Deputy Director of Hebei Provincial Key Laboratory of Photophysics Research and Application. He obtained a doctoral degree in optics from South China Normal University. He has won one second prize (2023) and two third prizes (2019 and 2012) of the Hebei Provincial Natural Science Award, and has been selected multiple times into the list of the World's Top 2% Scientists. His research focuses on light field manipulation, spatial optical solitons, optical information transmission and processing, ultrashort pulses, etc. He has published more than 80 SCI-indexed papers, and multiple papers have been selected as ESI hot papers and highly cited papers. He has been invited to give multiple invited presentations at international academic conferences.