Spatial convolution and correlation of optical fields via degenerate four-wave mixing.

@article{Pepper1978SpatialCA,
  title={Spatial convolution and correlation of optical fields via degenerate four-wave mixing.},
  author={David Michael Pepper and J. C. W. Auyeung and D{\'e}nes L{\'a}szl{\'o} Fekete and Amnon Yariv},
  journal={Optics letters},
  year={1978},
  volume={3 1},
  pages={
          7-9
        }
}
A nonlinear optical technique is described that performs, essentially instantaneously, the functions of spatial correlation and convolution of spatially encoded waves. These real-time operations are accomplished by mixing spatially dependent optical fields in the Fourier-transform plane of a lens system. The use of a degenerate four-wave mixing scheme eliminates (in the Fresnel approximation) phase-matching restrictions and (optical) frequency-scaling factors. Spatial bandwidth-gain… CONTINUE READING

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