Optical shuffle-exchange networks (SENs) have wide application in different kinds of interconnection networks. This article proposes an approach to construct modular optical SENs, using a set of arrayed waveguide gratings (AWGs) and tunable wavelength converters (TWCs). According to the wavelength routing property of AWGs, we demonstrate for the first time that an AWG is functionally equivalent to a classical shuffle network by nature. Based on this result, we devise a systematic method to design a large-scale wavelength-division-multiplexing (WDM) shuffle network using a set of small-size AWGs associated with the same wavelength set. Combining the AWG-based WDM shuffle networks and the TWCs with small conversion range, we finally obtain an AWG-based WDM SEN, which not only is scalable in several ways, but also can achieve 100% utilization when the input wavelength channels are all busy. We also study the routing and wavelength assignment (RWA) problem of the AWG-based WDM SEN, and prove that the self-routing property and the nonblocking routing conditions of classical SENs are preserved in such AWG-based WDM SEN.

中文翻译：

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基于AWG的无阻塞随机交换网络

光学随机交换网络（SEN）在不同类型的互连网络中具有广泛的应用。本文提出了一种使用一组阵列波导光栅（AWG）和可调波长转换器（TWC）构造模块化光学SEN的方法。根据AWG的波长路由特性，我们首次证明AWG本质上在功能上等同于经典的混洗网络。基于此结果，我们设计了一种系统化的方法，以使用一组与同一波长集相关的小型AWG来设计大规模波分复用（WDM）混洗网络。将基于AWG的WDM洗牌网络和具有较小转换范围的TWC相结合，我们最终获得了基于AWG的WDM SEN，它不仅可以通过多种方式进行扩展，当输入波长通道都繁忙时，也可以达到100％的利用率。我们还研究了基于AWG的WDM SEN的路由和波长分配（RWA）问题，并证明了在此类基于AWG的WDM SEN中保留了经典SEN的自路由特性和无阻塞路由条件。