Abstract
This paper analyzes the Airy phase distribution and theoretical expression in cylindrical coordinates, and verifies its feasibility using vector diffraction theory. The focus mode distribution of Airy–Lorentz-Gaussian beams with triangular phase modulation is studied. The results show that the modulation of the triangular phase can significantly change the focus light field distribution under different beam parameter conditions. The influence of the triangular phase and the beam parameters on the focusing mode is stronger than that of the numerical aperture. With different triangle phase parameters, the distribution of the focused light field will evolve differently. This beam has great application prospects in optical communication and light manipulation.
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