The matrix descriptions for three types of free-space regular optical interconnection networks, the perfect shuffle, the banyan, and the crossover, are given. Some new properties of the perfect shuffle are presented in matrix equations, and the equivalence of the three types of interconnection networks is simply shown.
© 1994 Optical Society of America
Original Manuscript: January 22, 1994
Revised Manuscript: April 27, 1992
Published: May 10, 1994
Mingcui Cao, Hongpu Li, Fengguang Luo, Ai Jun, and Da Liu, "Free-space regular optical interconnections: a mathematical analysis," Appl. Opt. 33, 2960-2967 (1994)