Optics and Spectroscopy

, Volume 114, Issue 1, pp 137–145 | Cite as

The influence of filtration caused by nonlinearity of holographic recording media on statistical characteristics of images

  • Z. S. Bekyasheva
  • A. V. Pavlov


The influence of filtration in the Fourier holography scheme, which is caused by nonlinearity of the exposure characteristics of recording media on the homogeneity of processed images in the first two statistical moments, has been investigated. Formulas approximating the dependences of the estimates on the generalized rate (ratio of image size to correlation length) are proposed. The influence of filtration on the change in the dependence of estimated homogeneity on the generalized rate is shown, and the influence of random phase spectrum on the variance of estimates is determined. It is shown that the two practical methods used to provide the desired generalized rate-change in the image size and filtration-differently affect the estimates.


Generalize Rate Correlation Length Mathematical Expectation Input Plane Realization Length 
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© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.St. Petersburg State University of Information Technologies, Mechanics, and OpticsSt. PetersburgRussia

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