光学系统自动设计中应用动态规划的个算法

本文用动态规划方法求解具有等式和不等式约束的光学系统的最优化问题,以Kuhn-Tucker条件为基础,利用牛顿迭代法提出最优决策的一个算法,并证明其局部收敛性。     

616光路计算程序的改进

本文从光学设计的实践出发,提出完善我院编制的616光路计算程序的若干改进意见。它包括提高计算结果的准确性,增加程序的灵活性和功能扩展等诸方面问题。     

Folded over non-orthogonal designs

In this article, we use the notion of minimal dependent sets (MDS) to introduce MDS-resolution and MDS-aberration as criteria for comparing non-orthogonal foldover designs, and discuss the ideas and their usefulness. We also develop a fast isomorphism check that uses a cyclic matrix defined on the design before it is folded over. By doing so, the speed of the check for comparing two isomorphic designs is increased relative to merely applying an isomorphism check to the foldover design. This relative difference becomes greater as the design size increases. Finally, we use the isomorphism check to obtain a catalog of minimum MDS-aberration designs for some useful n$n$ and k$k$ and discuss an algorithm for obtaining “good” larger designs.     

Indicator function based on complex contrasts and its application in general factorial designs

A factorial design can be uniquely determined by an indicator function which is constructed by means of orthogonal contrasts. Since the orthogonal contrasts are not unique, invariant measures are preferred. However, some particular orthogonal contrasts may express more information about designs than the others and be worth our attention. In this paper, a kind of indicator function based on orthogonal complex contrasts is introduced to represent general factorial designs and its significance on projection designs is presented. Based on this function, a generalized resolution and a new aberration criterion are developed to rank combinatorially non-isomorphic designs with prime levels. Some results and comparison are provided by means of examples.