Efficient implementation methodology for three-dimensional space-invariant hypercube-based optical interconnection networks

Ahmed Louri, Hongki Sung

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


A new design methodology for constructing optical space-invariant hypercube interconnection networks for connection of a two-dimensional array of inputs to a two-dimensional array of outputs is presented. The methodology permits the construction of larger hypercube networks from smaller networks in a systematic and incremental fashion. It is shown that the proposed methodology greatly improves area utilization as compared with previous methods. An example network is provided that illustrates the proposed design method. Owing to their totally space-invariant nature, the resulting three-dimensional hypercube networks are highly amenable to optical implementations by use of simple optical hardware such as multiple-imaging components and space-invariant holographic techniques. We present a space-invariant optical implementation technique for the realization of such networks. A theoretical analysis of the physical limitations of the implementation method is also presented. The analysis indicates that two-dimensional arrays of 512 x 512 nodes interconnected in a hypercube (18-cube) topology could be implemented.

Original languageEnglish (US)
Pages (from-to)7200-7229
Number of pages30
JournalApplied optics
Issue number35
StatePublished - Dec 10 1993


  • Embedding
  • Hypercube topology
  • Optical interconnects
  • Parallel processing
  • Space invariance

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Engineering (miscellaneous)
  • Electrical and Electronic Engineering


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