The total downwards flux, FTX, comprises the diffuse and direct components

FTx = Fi + MoFjx, (6.133) and the net downwards flux is fl x = ftx + fx (6.134) The surface boundary condition is then

where Rsx is the surface spectral reflectance and both diffuse and direct solar radiation is diffusely reflected upwards at the surface. Thus the total upwards flux is equal to the diffuse component, FTx = F_j. At the top of the atmosphere the boundary condition is that there is no incoming diffuse component so Fi =0. The boundary conditions in terms of J then become

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