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Statistical properties of light reflected and transmitted by a thick horizontally inhomogeneous turbid layer

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Abstract

The paper is devoted to the introduction of simple analytical relationships between statistical distributions of various radiative transfer characteristics for an inhomogeneous turbid layer with the extinction coefficient varying in the horizontal direction. Results are valid for an optically thick light-scattering layer having arbitrary local scattering laws and single-scattering albedos. It is shown that the statistical distribution of the optical thickness can be obtained directly from the measured statistical distribution of the reflectance or transmittance of a horizontally inhomogeneous light-scattering layer.

© 2005 Optical Society of America

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