A compact planar configuration for performing optical correlation is d
escribed. It comprises two pairs of identical holographic lenses and a
holographic filter. Each pair of lenses is recorded on a single subst
rate; together the lenses perform exact Fourier transformation. The li
ght between the lenses propagates inside the substrate by total intern
al reflection. The design and recording considerations for each of the
elements along with experimental results for the overall planar corre
lator are presented. (C) 1997 Optical Society of America.