中文摘要：

根据榕树网络的链路函数和连接规则,得到光信号变换矩阵,将光互连网络对信号的传输与处理,等效为对输入信号阵列的矩阵运算,建立输入/输出信号间的关系;同时,将二维榕树网络矩阵运算拓展和延伸到三维空间,对自由空间三维榕树网络的交换和信号处理进行矩阵运算等效,并最终实现光信号的路由判断和节点开关控制;从理论上解决了利用光互连网络的拓扑结构性质和节点开关状态的调整,实现可控的矩阵运算操作问题;为多端口大容量高速光互连网络的信号传输与交换、运算与处理、路由与控制等提供了一种有效的方法。

英文摘要：

Based on the link rule and the function principle of the banyan network,its corresponding processing matrix has been achieved to denote and illustrate the relative signal operating and controlling.In other words,the matrix computing is employed to replace the complicated control process of optical network.Furthermore,extend the results of the two-dimensional banyan network to three-dimensional space in terms of the relative mapping rule of banyan network,the performing matrix has also been attained to solve some problems such as node controlling,signal routing,etc.The simple truth is that the ability to replace the complex process of optical interconnection network using the matrix computing opens the door to a host of new and exciting opportunities including signal routing and node switch controlling.The results indicate that this method may be useful for optical switching applications,optical computing,and optical information processing.