Plane-parallel layer model for radiance distribution by primary scattering in the sea

Abstract

In order to understand the formation process of the radiance distribution in the sea, it is necessary to determine the radiance distribution in each scattering order analytically. For this purpose, a plane-parallel layer model that computes primary scatterin gradiance was developed for obtaining ananalytical understanding of the radiance distribution in each scattering order. The plane-parallel layer model was developed from the definitional equation of a volume scattering function and by integrating this function over the thickness of the plane-parallel layer. When the thickness of a plane-parallel layer was considered to be infinitesimal, the formula obtained was in agreement with the existing primary scattering model. By expanding this plane-parallel layer model to high-order scattering, a numerical model for radiation transfer can be obtained.