Abstract
In this paper, the propagation dynamics of the Tricomi-Gaussian Beam (TGB) in a gradient-index medium is studied. Influences of various beam parameters, the gradient-refractive index coefficient, and vortices on the propagation of TGB are investigated thoroughly. The research is mainly on the transmission characteristics of TGB with different modes, including symmetric and asymmetric patterns. Notably, the manipulations of beam modes, propagation trajectory, and intensity distribution of TGB by varying beam parameters α and β are explored. In addition, the autofocusing properties of TGB under off-axis conditions are investigated, which could find potential applications in optical trapping, laser energy focusing, and photonic waveguiding.
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