Holographic Perfect shuffle interconnections for planar optics

Abstract

The perfect shuffle network is one of the regular multiple-stage interconnection networks with wide applications for telecommunications and parallel computing processors.[1] Optical implementation of the perfect shuffle interconnects has been mainly achieved by the use of free-space optical components, such as lenses, prisms, or holograms.[2,3] In order to implement the interconnects in a compact, robust, and alignment-free manner, technologies of planar integration of the free-space optical components[4] are required. In this summary, we propose a planar optical configuration which can carry out the perfect shuffle interconnects, and it is suitable to link areas of a wafer scale integrated circuit together by means of computer-generated holograms(CGH). Two double-imaging diffractive-reflective CGH’s are used as key components acting as a set of four lenses in the free-space configuration of Ref.3. Interconnection capacity of the proposed planar system and the optimum number of internal reflections in an optical substrate are also derived by analyzing aberrations of the CGH’s.