Holographic Multiple Exposure Look-up Table For Optical Computing

The design, construction, and application of a holographic look-up table for optical computing is presented in this paper. The particular application described here is a residue arithmetic optical matrix-vector multiplier with position coded information1, using a Hughes liquid crystal light valve2. Superimposed multiple exposure phase holograms in a silver halide emulsion are used to store multiple mappings1 in the form of an addition truth table. The angular sensitivity of the emulsion allows constructing and reconstructing a different image in the hologram, corresponding to associated reference and reconstruction beam directions. The reference beam is produced using a single mode optical fiber which is repositioned for each exposure to generate reference beams with different directions.