Simple computational model of image correlation by four-wave mixing in photorefractive media.

A simple systems-oriented model of image correlation by nondegenerate four-wave mixing in photorefractive media is discussed, and its computational implementation is described. The model is based on a linear-incomplex modulation index formulation and is capable of describing the correlation product in a wide range of experimental conditions. Bragg matching effects on the test and reference images are explicitly included. The comparison of calculated results with experimental results is excellent, and a discussion of higher-order theories of the photorefractive effect is given. The model is currently being used to optimize the performance of experimental correlators.

[1]  John E. Weaver Probability Of Data Error In Holographic Storage In Electro-Optic Crystals , 1979, Other Conferences.

[2]  Robert Magnusson,et al.  Holographic grating formation in photorefractive crystals with arbitrary electron transport lengths , 1979 .

[3]  L. Pichon,et al.  Dynamic joint-fourier-transform correlator by Bragg diffraction in photorefractive Bi12SiO20 crystals , 1981 .

[4]  M. Soskin,et al.  Holographic storage in electrooptic crystals. i. steady state , 1978 .

[5]  Lambertus Hesselink,et al.  Higher-order analysis of the photorefractive effect for large modulation depths , 1986 .

[6]  John N. Lee Optical information processing , 1981 .

[7]  A. B. Vander Lugt,et al.  Signal detection by complex spatial filtering , 1964, IEEE Trans. Inf. Theory.

[8]  R. Grousson,et al.  Transport properties of photoelectrons in Bi12SiO20 , 1984 .

[9]  Peter Günter,et al.  Holography, coherent light amplification and optical phase conjugation with photorefractive materials , 1982 .

[10]  T. J. Hall,et al.  Fidelity Of Real-Time Correlation By Four-Wave Mixing , 1985, Other Conferences.

[11]  H. Kogelnik Coupled wave theory for thick hologram gratings , 1969 .

[12]  A Yariv,et al.  Spatial convolution and correlation of optical fields via degenerate four-wave mixing. , 1978, Optics letters.

[13]  C. R. Petts,et al.  Grating modification in degenerate four wave mixing , 1985 .

[14]  Amnon Yariv,et al.  Real‐time image processing via four‐wave mixing in a photorefractive medium , 1980 .