The difficulties of calculating the underwater light fields differ from those of the atmospheric radiative transfer computation due to the large difference of the refractive index at the interface between air and water (sea surface), the existence of sea surface wave, extreme forward peak of the scattering phase function by large suspended particles in water and so on, so that it is not simply applicable numerical algorithms used in the atmospheric radiative transfer problems. Because of these reasons, the developments of the models of underwater light fields have been carried out almost independently apart from the atmospheric radiative transfer studies.
This article reviews the historically important milestone underwater light field models as well as the latest development of irradiance two flow model. Further, we briefly introduce the direct solution numerical algorithms of radiative transfer in the sea, which became popular in marine optics as the result of the development of computer technology, i.e. Monte Carlo and Quad Averaging methods.
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