Generalized M^2 Factor of a Partially Coherent Beam Propagating through a Circular Hard-Edged Aperture

The second-order intensity moments and the beam-propagation M^2 factor of partially coherent beams that propagate through a circular-symmetry hard-edged aperture are in the cylindrical coordinate system. A J0-correlated Schell-model beam with a Gaussian intensity distribution is an example. The analytical expression for the generalized M^2 factor is derived. The numerical calculation results are analyzed.