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光子交换技术是解决高速的光纤传输系统和低速的电子交换系统之间速度失配的根本措施。文中提出了无阻塞自由空间光子交换榕树网络的拓扑结构与实现方案，并采用互连网络拓扑等价的图分析法研究了无阻塞榕树网络与可重排Ｂｅｎｅｓ网络的拓朴等价及其多样性。为拓展无阻塞榕树网络在光子交换系统及多处理计算机系统的潜在应用提供了理论依据。
Photonic exchange technology is the fundamental measure to solve the speed mismatch between high-speed optical fiber transmission system and low-speed electronic exchange system. In this paper, we propose a topological structure and implementation scheme of a non-blocking free-space photonic exchange Banyan network. The topological equivalence and diversity of non-blocking Banyan networks and rearrangeable Benes networks are studied by the graph analysis of interconnected network topologies. Sex. It provides a theoretical basis for exploring the potential applications of non-blocking Banyan networks in photon exchange systems and multiprocessing computer systems.