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Application of third-order correlation between intensity fluctuations to determination of scattering potential of
Abstract:
Within the first-order Born approximation, we introduce the third-order correlation between intensity fluctuation (CIF) of light scattered from a quasi-homogeneous (QH) medium. By utilizing the Gaussian moment theorem for describing the scattering potential statistics, analytic forms are derived for the third-order, normalized CIF and variance of intensity fluctuations (VIF) of the far-zone scattered field. It is found that the normalized CIF of the scattered field is proportional to the product of Fourier transforms of the strengths of the scattering potential, while the variance of intensity fluctuations (VIF) of the scattered field is the cube of the Fourier transform of the normalized correlation coefficient (NCC) of the scattering potential. Based on the derived formulas, we show that the correlation function of the scattering potential of the medium can be determined from the scattering equations where the third-order CIF properties of the scattered field must be known in advance.
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