摘要
以复合函数的微分法则为基础,提出了光学设计中目标函数对结构参数一阶和二阶偏导数解析求导的方法,给出了相应的推导过程和计算实例。
A novel algorithm to calculate first and second derivatives in lens optimization design is described.Based on the differential law of complex function,the first and second analytical derivatives of ray coordinates in the image plane with respect to parameters such as radius,thick- ness etc.can be obtained from only one raytracing.On the basis of this,the first and second derivatives of the merit function with respect to variables can be easily obtained.The relevant de- duction process and examples of computation are also given.The results of practical computations show that it takes much less time(especially for the second derivatives)to obtain the derivatives by the analytical method than by the difference method.
出处
《计算物理》
CSCD
北大核心
1996年第1期92-100,共9页
Chinese Journal of Computational Physics
关键词
一阶
偏导数
二阶
光学优化设计
光线追迹
First and Second Derivatives
Lens Optimization Design
Ray Tracing
