Nonlinear transmission dynamics of mutual transformation between array modes and hollow modes in elliptical sine-Gaussian cross-phase beams

In this paper, based on the nonlocal nonlinear Schrödinger equation, the nonlinear transmission characteristics of elliptical sine-Gaussian cross-phase (ESGCP) beams in strongly nonlocal nonlinear media are researched, and propagation expression of ESGCP beams in transmission process is given. One of the characteristics of beams is that the array mode and the hollow mode can be transformed into each other during the transmission process, which can produce more abundant light intensity modes. Numerical simulation is used to determine how the parameters in the initial propagation equation affect the beam width. In addition, evolution laws of light intensity, phase, and critical power are explored. The results show that the evolution of the beams is controlled by the parameters of the sine term and the cross-phase term in the initial propagation expression. The relationship between initial incident power and evolution period is introduced, and the reason is explained. The beams have great potential for development in the fields of optical communication and light capture.