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本文提出一种用于迭代法求解线性方程组的光电混合系统。该系统的光学部分主要由单个全息透镜组成,它执行矩阵与矢量的乘法运算;系统的其余部分执行矢量的测量与求和,它由CCD探测器件和一台微机组成。使用这个光电混合系统,用迭代法对一个4元线性方程组求解,实验结果与理论解比较,误差约为5％。
In this paper, an optoelectronic hybrid system for iteratively solving linear equations is proposed. The optical part of the system is mainly composed of a single holographic lens, which performs a matrix multiplication with vectors; the rest of the system performs vector measurement and summing, which consists of a CCD detector and a microcomputer. Using this optoelectronic hybrid system, an iterative method is used to solve a 4-element linear equations. The experimental results are compared with the theoretical solution, and the error is about 5%.