Abstract In this work, the propagation properties of a partially coherent vortex cosh-Gaussian beam (PCvChGB) have been investigated. Within the framework of the extended Huygens–Fresnel diffraction integral, an analytical formula for a PCvChGB propagating in a paraxial ABCD optical system is derived. Based on the obtained formula, the influences of the spatial coherence, decentered parameter and vortex charge on the propagation properties of a PCvChGB in free space are illustrated numerically and analyzed. The obtained results could be beneficial for applications of PCvChG beams in optical communications, remote sensing and atom optics.
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