An analytical expression for a partially coherent azimuthally polarized beam with an astigmatic phase (PCAPBAP) is derived. The statistical properties of the PCAPBAP propagating in a paraxial-focused system are studied through numerical examples. It is shown that the beam’s shape changes in a unique way during propagation, and this type of change is related to the rotating factor of the astigmatic phase. Moreover, the influence of the rotating factor and source coherence length on the beam’s polarization and coherence is investigated in detail. The results show that the coherence and polarization properties of the beam also change obviously due to the astigmatic phase’s effect. This paper will be helpful to the fields of optical tweezers, optical needles, imaging, and so on.
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