关于n平面线性相干光处理系统的讨论(Ⅰ)

A DISCUSSION ON THE n-PLANE LINEAR COHERENT OPTICAL-PROCESSING SYSTEM (I)

讨论n平面线性相干光处理系统(简称n平面线性系统)的一般性质。在两个特例情况下,借助于傅里叶变换的相似性定理和空间频率的标度变换,可以证明:n平面线性系统的(n—1)个间距参数{zi}_(n-1)不是实质性参数。利用所得结果,演示了相干光成象和空域中的频率的标度变换,说明理论结果是有效的。

We consider the property of the n-plane linear coherent optical-processing system in term of the similarity theorem of Fourier transform and the spatial frequency scaling transform. Suppose the initial system has arbitrary {zi}n-1 with zi being the spacing between the ith and (i + l)th planes. First, we can show that the initial system is equivalent to a system with different spacing, {zoi}n-1. Thus the values of system parameters {zi}n-1 are of little importance. Moreover, in this paper, the relation between the integral kernels of two arbitrary n-planc linear coherent optical-processing systems has been considered.