An optical system in which the available bandwidth is divided into F frequency bands is considered. The connectivity of an N*N wavelength routing device, or an all-optical network with passive wavelength routing, can be specified by an N*N matrix S, where the (i, j)th element, S(i, j), is the set of wavelengths connecting input i to output j. When the matrix S is a latin square, the device is called a latin router. A class of designs for very large latin routers using a relatively small number of components is presented. The designs use a minimal number of interconnections and can be implemented distributively.>
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Barry et al. (1993) studied this question.
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