We present the first all-optical nonlinear joint transform correlator
based on a square-law receiver in the Fourier plane. Our device uses a
photorefractive limiting quadratic processor. The compressional nonli
nearity associated with the transfer function of the limiting quadrati
c processor enables the correlator to detect signals embedded in Gauss
ian and non-Gaussian noise. In the limiting region this device correla
tes the phase-only information of the input. This is the first time to
our knowledge that photorefractives or real-time holography has been
used in the correlation of the phase-only information. We demonstrate
the operation of this device experimentally, and we evaluate its perfo
rmance through computer simulation for various forms of noise.