Distribution of Light Radiance Reflected from the Sea Illuminated by the Sun with Shadow: Algorithm, Program, and Examples

摘要

Detailed, quantitative interpretations of images require data about the angular distribution of light reflected from a shadowed sea. This report demonstrates the solution of the two-dimensional radiative transfer problem for the sea shadowed by an opaque body such as a pier. The solution to the problem requires two different theoretical approaches. The solution for the depth dependence of light radiance is obtained using the theory of Green's functions. The solution to the problem in horizontal direction is obtained with the one- dimensional Fourier transform method. The algorithm used in this report is based on the analytical solution to the spatially two-dimensional (Cartesian coordinates x and z) scalar radiative transfer equation in seawater. The Ox axis starts on the sea surface in the center of the opaque shadow (pier) and increases towards the sun in the direction orthogonal to the axis of the pier. The Oz axis increases down to the sea bottom.