An upper bound on the area of a computer generated hologram (CGH) required to form space variant connections between N transmitters and N x F detectors is determined. The analysis is performed without employing paraxial or small transmitter divergence angle approximations. It is shown that a previously proposed method for performing space variant interconnects has limited usefulness for connecting transmitters with large divergence angles. A new architecture employing a double pass CGH is introduced, and an expression is derived for the interconnect density capabilities of this architecture.
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Feldman et al. (1989) studied this question.
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