Three-dimensional Omega networks for optical implementation.

We discuss a class of volume three-dimensional multistage interconnection networks suitable for optical implementation. The networks are based on perfect shuffles defined on two-dimensional arrays of signal channels combined with various types of dynamic switch elements in two-dimensional arrays. A mathematical description of the two-dimensional shuffles and these switch elements is presented. The relationship between the networks in this class (three-dimensional Omega networks) is studied. Optical or optoelectronic versions of these networks can perform high-speed parallel signal processing operations.