Abstract: With the distribution of optic points in the optic interconnection on the detection plane（image plane） as examples and by means of simulating annealing method，how to generate the binary and four-phase Fourier transform holograms was discussed firstly in this paper and then an algorithm of converse computing hologram was provided on the basis of the character of Fourier transform.In this algorithm，the distribution of optic points was set as Fourier transform plane of a hologram，and every optic point was formed by Fourier transform of the sinusoidal grating with specific spatial frequency in the hologram plane whereas the spatial frequency of every sinusoidal grating was determined by the coordinate（interconnection） of optic points in the detection plane.In this case，the hologram represented a linear summation of a series of sinusoidal grating.This algorithm is characterized by speedy in computation and accurate in the positioning of optic interconnection.

Key words: linear summation, computer generation hologram, optic interconnection, spatial light modulator

摘要： 首先以光互连中探测平面（像平面）的多光点分布为例，采用模拟退火方法计算了其二元傅立叶变换全息图和四相位傅立叶变换全息图，然后以傅立叶变换性质为基础，提出了一种逆向求解全息图方法。在该方法中，将光点分布图作为全息图的傅立叶变换面，每个光点由全息面中特定空间频率的正弦光栅的傅立叶变换形成，各正弦光栅的空间频率由探测平面的光点坐标（互连关系）决定，全息图则为一系列正弦光栅的线性迭加。该方法具有计算速度快，光互连定位准确的优点。

关键词: 线性迭加, 计算机生成全息图, 光互联, 空间光调制器