SoD, I think you are right that there is a problem with combining the source function of the semi-gray atmosphere with
the general radiative transfer equation.
Not exact matches
Instead he substitutes values from the existing derivation into the
general equation of
radiative transfer and just claims that (somewhere along the line) B0 has now become a variable.
Mishchenko, M.I., 2006: Maxwell's
equations,
radiative transfer, and coherent backscattering: A
general perspective.
And it still can't be substituted into the
general equation of
radiative transfer.