空心高斯光束通过光阑透镜系统的传输特性

Propagation properties of hollow Gaussian beams through an optical system with a hard-edged aperture

摘要: 为了研究空心光束通过硬边光阑透镜傍轴ABCD光学系统后的传输特性,利用柯林斯衍射积分公式,推导出了空心高斯光束通过受圆孔硬边光阑限制的傍轴ABCD光学系统的传输公式,所得公式可用来描述空心高斯光束通过任意傍轴ABCD光学系统的传输。研究了光阑、透镜以及光阑透镜系统对空心高斯光束传输特性的影响,并用数值例做了详细说明。结果表明,光阑和透镜均会使光束的光场分布向源平面前移,光阑会破坏空心高斯光束的空心性,而单纯的透镜只改变光场分布,不会破坏光束的空心性。这一结果对于空心光束的产生和应用有理论指导意义。

Abstract: In order to study propagation properties of hollow beams through a paraxial optical ABCD system with a hard-edged circle aperture and a lens,the expressions for the propagation of hollow Gaussian beams through such a system are derived based on the Collins diffraction integral.The effects of an aperture,a lens and an aperture-lens system on the propagation properties of hollow Gaussian beams are studied and illustrated with numerical examples,which shows that both aperture and lens can shift the field of hollow Gaussian beams towards the source plane.It is also found that hollowness of the beam will be destroyed by the aperture,but not by the lens.The results of this study play a guiding role in the generation and application of hollow beams.