Propagation of partially coherent modified Bessel-Gaussian beams passing through an aperture

In order to study the propagation of partially coherent modified Bessel-Gaussian beams passing through a paraxial ABCD optical system with hard-edge aperture,the approximate analytical propagation equation was derived with the hard-edged aperture function expanded into a finite sum of complex Gaussian functions.As an application example,numerical calculation was performed for partially coherent modified Bessel-Gaussian beams propagating in free space with hard-edge aperture,and the computation errors and application ranges of those analytical equations were discussed.The results show that the method provides the advantage of reduction of computing time and analyzing the propagation property of partially coherent modified Bessel-Gaussian beams through the circular aperture optical systems.The influence of Fressnel number and the truncation parameter on the intensity distributions was also analyzed.