Propagation of high-order Bessel-Gaussian beams through a hard-aperture misaligned optical system

摘要

In this paper, we consider the propagation of high-order Bessel-Gaussian beams (HBGBs) passing through a hard-aperture misaligned optical system. By expanding the hard-aperture function into a finite sum of complex Gaussian functions, a general propagating formula of HBGBs is derived in terms of the generalized diffraction integrals. Based on the derived formula, the diffraction properties of HBGBs propagating through a simple misaligned lens system are numerically illustrated. This method provides a convenient tool for studying the propagation and transformation properties of a high-order Bessel-Gaussian beam through an apertured misaligned optical system.