Related Experiment Video
Updated: Jul 16, 2025

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
Published on: October 11, 2016
Statistical properties of a partially coherent azimuthally polarized beam with an astigmatic phase
Abstract:
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.
Related Concept Videos
Potential Due to a Polarized Object
Gauss's Law: Cylindrical Symmetry
Spherical Coordinates
Gauss's Law: Spherical Symmetry
Curvilinear Motion: Polar Coordinates
The particle's location is described using a unit vector along the radial direction. Deriving the particle's position...
Unsymmetric Bending - Angle of Neutral Axis
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal...

