Propagation Properties of the High-order Bessel-Gaussian Beam through a Circular Aperture

Based on the Huygens-Fresnel integral and the expansion of the hard aperture function into a finite sum of Gaussian functions,the approximation analytical expression of the high-order Bessel-Gaussian beam passing through a paraxial ABCD optical system with a circular aperture is derived. The propagation properties of the high-order Bessel-Gaussian beam through the circular aperture have been studied.The results show that the diffractive properties relative with the truncation parameter β,the order of Bessel function and Fresnel numbers are associated with the beam.