Preprint Article Version 1 This version is not peer-reviewed

Analytical Approaches to Model Light Transmission through Turbid Media

Version 1 : Received: 20 July 2018 / Approved: 20 July 2018 / Online: 20 July 2018 (05:54:38 CEST)

How to cite: Sokoletsky, L.G.; Budak, V.P. Analytical Approaches to Model Light Transmission through Turbid Media. Preprints 2018, 2018070377 (doi: 10.20944/preprints201807.0377.v1). Sokoletsky, L.G.; Budak, V.P. Analytical Approaches to Model Light Transmission through Turbid Media. Preprints 2018, 2018070377 (doi: 10.20944/preprints201807.0377.v1).

Abstract

The transmission of light is one of the key optical processes in the terrestrial environment (the atmosphere and underlying surfaces). The dependence of light transmittance on the illumination/observation conditions and optical properties of the atmosphere–underlying system can be studied using the integro-differential radiative transfer equation. However, for numerous applications a set of analytical equations is needed to describe the transmitted light intensity and flux. In this paper, we describe various analytical techniques to study light transmittance through light scattering and absorbing media. A physical significance and improved mathematical accuracy of approximations are provided using the analytical models for the diffusion exponent, average cosine of the light field, spherical and plane albedos. The accuracy of various approximations is studied using exact radiative transfer calculations with various scattering phase functions, single-scattering albedos, observational conditions, and optical depths.

Subject Areas

spherical transmittance; plane transmittance; diffuse attenuation coefficient; spherical albedo; plane albedo; diffusion exponent; average cosine of the light field; IPOL; MDOM; SORD

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