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Radiative Transfer in Coupled Atmosphere and Ocean Systems: the Discrete Ordinate Method

Following from: Radiative transfer in coupled atmosphere and ocean systems: Overview

Leading to: Radiative transfer in coupled atmosphere and ocean systems: Successive Orders of Scattering Method

For simplicity, consider a coupled atmosphere-ocean system consisting of two adjacent slabs separated by a plane, horizontal interface across which the complex refractive index changes abruptly from a value m1n1 + in1' in the air (atmosphere) to a value m2n2 + in2' in the ocean. The radiation field can be split into a direct and scattered (diffuse) part:

(1)

The direct part is given by

(2)

where Fs is the irradiance (normal to the beam) of the incident (solar) beam. In either of the two slabs, the diffuse radiance distribution Idiff(τ,μ,φ) can be described by the radi ...

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