Study of Polarized Radiative Transfer Equation in a Coupled Atmosphere Ocean System with Reflecting and Transmitting Interface Boundaries using New Discrete Ordinate Method

We have developed and analyzed coupled atmosphere-ocean polarized radiative transfer equations (RTE) system having flat boundary conditions at the interface between the two media. The boundary conditions depend on both reflection and transmission [1]. A study for analytical expressions for exit radiative intensities at any optical depth in the two media have been carried out using new version of discrete ordinate method (DOM) of Chandrasekhar first suggested by Siewert [2]. Each homogeneous version of equations is replaced by N equivalent directions, with corresponding Gaussian weight functions. Finally the Gaussian summation is interchanged with Fourier summation. The elementary solutions developed to accommodate for the inhomogeneous source term is used to construct the Green’s function which are required to find the particular solution.