Abstract

As indicated in an earlier paper presented at this conference,⁽¹⁾ use of parallel Fourier optical pattern recognition techniques in conjunction with a final non-linear threshold allows rapid computation of sums and products in residue arithmetic. The coherence properties of the architecture reduce the number of non-linear elements to 2n-1 where n is the size of the radix. Incoherent point sources could also be used with the grating filters performing a holographic interconnect function, but, at the expense of requiring n² non-linear elements. This expense is offset by allowing performance of any multi-level logic function, residue arithmetic being only one example of a multi-level logic function. This paper will describe an alternative technique to performing the desired n² interconnect pattern which requires no lenses or filters, thereby significantly reducing the fabrication and alignment difficulties.

© 1987 Optical Society of America