Abstract

This paper focuses on the focusing pattern of the Laguerre–Gaussian (LG) beam with polarization mixing helical-conical phase modulation, which is based on the vector diffraction theory. The results show that the topological charge number $l$ can sensitively control the intensity of the intensity peaks. The focal spot will split along the optical axis under different polarization parameters $P$. When $l = 1$, the spot position and the peak intensity can be modulated by changing the polarization parameter $P$. The truncation parameter $\beta$ makes the focusing spot form an optical trap. By adjusting the eccentricity parameter $K$, the opening direction of the optical trap can be well controlled. These results may be helpful in optical applications such as optical manipulation, optical focusing, and optical information transmission.

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