Latin routers, design and implementation

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