中文摘要：

首先介绍了高斯光束平顶整形的应用价值及一些主要整形方法,由于非球面镜整形的优点,本文研究非球面镜整形法。选择费米-狄拉克函数作为平顶光束模型,并分析了其平顶分布与特性参数之间的关系。理论分析了非球面镜整形原理,根据能量守恒定律和光线追迹函数推导出非球面面形表达式。考虑到加工因素,分析了影响非球面度的系统参数,根据分析,选择适当的参数,用MATLAB软件对映射关系和面形曲线进行数值求解并拟合得到非球面系数。用ZEMAX光学软件对整形系统进行建模,通过物理光学传播POP仿真可以得到输出光束的光强分布和传输特性,结果输出光束的平顶质量接近理论上的预期效果,其误差主要来自数值计算精度和孔径边缘衍射。

英文摘要：

Application value of the Gaussian beam with flat-top shaping and some main shaping methods were introduced. Because of the advantages of aspherics, aspherics shaping method was studied, Fermi Dirac function was chosen as a flat-top beam distribution model, and the relationship between its flat-top distribution and the characteristic parameters was analyzed. By analyzing aspherics shaping principle theoretically, according to the law of conservation of energy and ray tracing function, aspheric surface form expression was deduced. Considering the processing factors, the effects of system parameters on the spherical degree was analyzed. And then, by choosing appropriate parameters, MATLAB software was used to solve numerical solution of mapping relation and surface shape curve and fit to get aspheric coefficient. By using ZEMAX optical software to make system modeling, the output beam of light intensity distribution and propagation characteristic could be gotten through the physical optics propagate-POP simulation. As a result, output beam of the fiat-top quality is close to the expected effect, and its error mainly comes from numerical calculation accuracy and edge diffraction.