Experimental realization of a multiproduct photorefractive correlation system for temporal signals

Abstract

The design and operation of a multidimensional photorefractive correlator is described. With a photorefractive medium as the integrator, this system effects the correlation of up to four time-evolving signals. The holographic correlation volume is viewed by projection onto a two-dimensional detector. The correlator is designed for use with binary-phase signals, especially pseudorandom noise sequences.

Multidimensional tomographic imaging using volume holography

“…The function of volume holograms as correlators [93] has been traditionally an important application of holographic memories oriented toward optical pattern recognition [94]- [96]. Suppose patterns are stored in a holographic memory.…”

“…Substituting Born's diffraction formula (87) and (94) into (95), we obtain (96) By using Weyl's identity and proceeding as in Appendix I, we obtain (75) after a long but straightforward calculation.…”