贝塞耳函数调制的高斯光束通过有光阑ABCD光学系统的传输

PROPAGATION OF QBG BEAMS THROUGH AN APERTURED ABCD OPTICAL SYSTEM

基于惠更斯 菲涅尔广义衍射积分 ,对变量为径向平方的贝塞耳函数调制的高斯光束 (QBG光束 )通过有圆孔光阑限制的一阶ABCD光学系统的传输进行了研究 .采用将圆域函数可表示为复高斯函数叠加的方法 ,推导出了普适的场分布解析公式 ,以QBG光束通过有圆孔光阑限制的薄透镜系统为例进行了分析与讨论 ,数值计算结果证明了本文所用方法的优点 。

Based on the generalized Huygens-Fresnel diffraction integral, the propagation of the Bessel-modulated Gaussian beams with quadratic radial dependence (QBG beams) through a circle-apertured ABCD optical system has been studied. In our treatment the circle function is expanded into a sum of complex Gaussian functions, thus a closed-form propagation expression of QBG beams has been derived. As an application example, numerical calculations have been performed for the focusing of QBG beams by an apertured lens. The calculatied results have shown the advantage of our method, and are in good agreement with those obtained by the straightforward numerical integration of the generalized diffraction formula.