Wmf. Wauben et al., APPROXIMATIONS FOR THE RADIATION INSIDE AN INHOMOGENEOUS PLANETARY ATMOSPHERE, Astronomy and astrophysics, 277(2), 1993, pp. 666-668
The accuracies of the border approximation and the cubic polynomial ap
proximation are tested for isotropically scattering vertically inhomog
eneous atmospheres. Comparisons with exact results show that these app
roximations yield about the same accuracies for vertically homogeneous
and inhomogeneous atmospheres. It is concluded that these approximati
ons work equally well for isotropically and anisotropically scattering
inhomogeneous atmospheres with or without polarization.