Fourier series expansion of the transfer equation in the atmosphereocean system
Abstract
Radiative transfer in a planeparallel atmosphere bounded by a rough ocean surface is considered. The problem is solved by using a Fourier series decomposition of the radiation field. For the case of a Lambertian surface as a boundary condition, this decomposition is classically achieved by developing the scattering phase matrix in a series of Legendre functions. For the case of a rough ocean surface, the decomposition is obtained by developing both the Fresnel reflection matrix and the wave facet distribution function in Fourier series. This procedure makes it possible to derive the radiance field for the case of the ruffled ocean surface, with a computation time only a few percent larger than for the case of a Lambertian surface.
 Publication:

Journal of Quantitative Spectroscopy and Radiative Transfer
 Pub Date:
 June 1989
 DOI:
 10.1016/00224073(89)901180
 Bibcode:
 1989JQSRT..41..483D
 Keywords:

 Air Water Interactions;
 Atmospheric Boundary Layer;
 Ocean Surface;
 Optical Transfer Function;
 Radiative Transfer;
 Surface Roughness;
 Fourier Series;
 Legendre Functions;
 Matrices (Mathematics);
 Polarized Light