Estimate of the optical noise of binary phase elements

We have suggested a statistical approach for estimation of the optical noise of correlation field of two classes of random binary phase elements (BPE): the random orthogonal BPE with mixed elements and the random orthogonal BPE with mixed rows and columns. We have constructed the statistical distributions of correlation coefficients; on their basis we have calculated analytically the ensemble averages of the intensity of the random BPE autocorrelation field and its square-mean fluctuations. We have reported the results of numerical computations of the averaged values of intensity of autocorrelation field and its fluctuations according to the exact formulas; we have shown that these results are in a good agreement with the results obtained with the help of analytical formulas. We have obtained the analytical expressions for estimation of the optical notice in the plane of autocorrelation field of different types of random BPE.