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一般地,对于成象光学系统,最好是把点光源转换成分布在具有适当放大率焦平面上的点象。实际上,实现这一点的方法是改变透镜系统参数,使得每个物点光束在象平面上的扩展最小。本文对焦散面提出了一种评价函数,可描述理想象点焦散面的扩展。该焦散评价函数已用于优化三元和四元透镜系统。将作为视场角函数的均方根弥散圆半径与用传统方法设计的类似透镜比较,评价了优化透镜的性能。对于优化透镜系统,在于提高平均均方根值。结果表明,焦散评价函数最小时,可以缩小整个视场的均方根弥散圆半径和透镜系统的象差,对大孔径和大视场的光学系统尤其如此。
In general, for imaging optics, it is preferred to convert the point source to a spot image distributed over the focal plane with the proper magnification. In fact, the way to do this is to change the lens system parameters such that the spread of each object point beam in the image plane is minimized. In this paper, an evaluation function is proposed for caustics, which can describe the extension of caustics. This caustic evaluation function has been used to optimize the ternary and quaternary lens system. The radius of the root mean square dispersion as a function of field angle was compared with similar lenses designed by conventional methods to evaluate the performance of the optimized lens. For optimizing the lens system, lies in raising the average root mean square value. The results show that when the caustic evaluation function is minimum, the radius of root mean square dispersion and the aberration of the lens system can be reduced, especially for the optical system with large aperture and large field of view.