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用光学方法实现幺正变换及一般线性变换(Ⅱ)——用迭代法求解
引用本文:霍裕平,杨国桢,顾本源.用光学方法实现幺正变换及一般线性变换(Ⅱ)——用迭代法求解[J].物理学报,1976,25(1):31-46.
作者姓名:霍裕平  杨国桢  顾本源
作者单位:中国科学院物理研究所;中国科学院物理研究所;中国科学院物理研究所
摘    要:如何设计由全息透镜构成的光学系统用来实现所要求的变换,是当前应用光学的一个重要课题。本文提出了一个应用计算机的迭代求解法,并讨论了它的收敛性和采用有限维近似的问题。文中还通过简单的例子,分析了具体计算中出现的问题。

收稿时间:9/3/1974 12:00:00 AM

UNITARY TRANSFORMATION AND GENERAL LINEAR TRANSFORMATION BY AN OPTICAL METHOD (Ⅱ)——THE ITERATIVE METHOD OF SOLUTION
HUO YU-PING,YANG GUO-ZHEN and GU BEN-YUAN.UNITARY TRANSFORMATION AND GENERAL LINEAR TRANSFORMATION BY AN OPTICAL METHOD (Ⅱ)——THE ITERATIVE METHOD OF SOLUTION[J].Acta Physica Sinica,1976,25(1):31-46.
Authors:HUO YU-PING  YANG GUO-ZHEN and GU BEN-YUAN
Abstract:An important problem in applied optics is the design of an optical processing system composed of a series of holographic lenses for the purpose of realizing an arbitrary transformation. In this paper, we give an iterative method of computation to resolve this problem. The convergence of the method and the problem in relation to finite dimension approximation are discussed. Some problems which emerged in the course of numerical calculation are analysed by means of several simple examples.
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