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Advances in electro-optic technologies have made optical communication a promising networking alternative to meet the ever increasing demands of high-performance computing communication applications for high channel bandwidth, low communication latency and parallel processing as well. Optical Multistage Interconnection Network (OMIN) is popular in switching and communication applications and has been studied extensively as an important interconnecting scheme for communication and parallel computing systems. The OMIN is frequently proposed as connections in multiprocessor systems or in high bandwidth network switches. A major problem in OMIN is optical crosstalk. It is caused by coupling two signals within a Switching Element (SE). Crosstalk problem in a switch is the most prominent factor, which reduces the signal-to-noise ratio and restricts the size of a network. Various methods to decrease the undesirable effect of crosstalk have been proposed, that apply the concept of dilation in either the space, time or wavelength domains. With the space domain approach, additional SE(s) and links are used to certify that at most only one input and one output of every SE will be active at any given time. With the time domain approach, two connections will be activated at different time slots if they share the same SE in any stage of the network. The last approach, the wavelength domain, different wavelengths are used for routing active connections by ensuring two wavelengths entering an SE to be far apart by routing or using wavelength converters. Whenever the limitation of the network size is reached, the time domain method may be used as a feasible way to trade the maximal bandwidth available to each particular input and output pair for enhanced connectivity. Again, it is useful when future technology let the transmission rate to expand faster than the network size or when the cost of expanding the bandwidth of each connection becomes as “cheap” as the cost of building a network of twice its original size. The chapter covers the development of crosstalk-free scheduling algorithms for routing in an OMIN. The interest is on how to efficiently schedule messages using the time domain approach in order to avoid crosstalk. In the time domain approach, messages to be sent to the network are distributed into several groups for routing at different time slots. There are 29

The Development of Crosstalk-Free Scheduling Algorithms for Routing in Optical Multistage Interconnection Networks