Abstract

The focus pattern of a triangle-exponential function modulation spiral polarized hyperbolic-cosine-Gaussian (cosh-Gaussian) vortex beam is examined according to the vector diffraction theory and the focus intensity with different parameters is disputed. By adjusting the polarization parameter $C$, the number of the focusing peaks can be changed: Specifically, as the absolute value of the polarization parameter $C$ augments, so does the number of the focus peaks. When the beam parameter $\beta$ is modified, the focus pattern is compressed and stretched in both the axial and radial directions, respectively, which helps to precisely adjust the shape of the focus pattern in the focus region. Meanwhile, the trigonometric modulation parameter $l$ can change the axial component of the focus region. With a change in the trigonometric modulation parameter $l$, the focus pattern finally evolves into the light-like chain structure and the position of the focus peak in the axial direction also can be controlled. This shows that the correlation properties enrich our understanding of the cosh-Gaussian vortex beam. Therefore, cutting-edge optical applications including optical transmission, optical shaping, and multiple optical sensing could benefit from these results.

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