Multiplex holography for space-variant optical processing, parts 1 and 2

A major goal of the research effort has been the implementation of two-dimensional representations of space-variant optical systems. In a sampling theorem-based approach this requires sampling the system's input plane and multiplexing the system's transfer functions for the various input plane samples. Our technique utilizes diffusers in the individual reference beams to encode the sequentially-recorded holograms so as to minimize hologram-to-hologram crosstalk on playback. Part 1 of this report presents the results of a detailed examination of the use of ground glass diffusers with up to 100 holograms being multiplexed. Experimental results include the representation of a strongly space-variant magnifier, and a demonstration that indeed the individually multiplexed holograms are adding coherently on playback. Part 2 contains properties of various models of pure phase, pure amplitude, and combined amplitude, and combined amplitude and phase diffusers. A spatial random telegraph wave description is employed for the diffusers, with either evenly spaced transition points or Poisson distributed transitions assumed.