Open AccessUNITARY TRANSFORMATION AND GENERAL LINEAR TRANSFORMATION BY AN OPTICAL METHOD (Ⅱ)——THE ITERATIVE METHOD OF SOLUTION
Author(s) -
霍裕平,
杨国桢,
顾本源
Publication year - 1976
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.25.31
Subject(s) - transformation (genetics) , unitary transformation , convergence (economics) , computation , mathematics , computer science , simple (philosophy) , relation (database) , dimension (graph theory) , iterative method , holography , series (stratigraphy) , unitary state , algorithm , optics , physics , quantum , quantum mechanics , pure mathematics , philosophy , database , law , economic growth , chemistry , biochemistry , epistemology , political science , economics , gene , biology , paleontology
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.