Abstract

This research explores the focusing characteristics of a polarization mixing quadratic space-variant phase-modulated sinh-Gaussian vortex beam. Various intriguing evolutionary trends of the focal pattern are demonstrated by the modulation of each parameter. The results show that the adjustable parameter $C$ makes the focusing spot form an optical chain structure. The length of the structure and the number of dark optical traps in the structure can be altered by adjusting $C$. Simultaneously, the variation of beam order $m$ will cause focal spot deformation. Moreover, the variation of the focal pattern indicates that polarization parameter $B$ has the ability to adjust the position of the spot. In addition, the influence of topological charge $l$ on the component field is also discussed. With the introduction of a polarization mixing quadratic space-variant phase, the focal pattern obtains a series of unique characteristics. These results have potential value for cutting-edge optical applications such as optical shaping, optical transmission, and multiple optical capture.

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