The asymptotic behavior of functions characterizing the radiation field in deep layers of planetary atmospheres
Abstract
The behavior of the components of the Fourier expansion of radiation intensity is studied for the deep layers of a semiinfinite atmosphere. The asymptotic forms of the fundamental functions are expressed in the same terms as are the Fourier components of intensity. For the case of the threeterm phase function, the exact values of the fundamental functions are calculated and used to estimate the accuracy of the asymptotic form. The asymptotic forms permit estimation of the depth at which the asymptotic separation of variables occurs and at which the radiation field becomes azimuthindependent.
 Publication:

Trudy Astronomicheskoj Observatorii Leningrad
 Pub Date:
 1977
 Bibcode:
 1977TrLen..33....3A
 Keywords:

 Asymptotic Methods;
 Atmospheric Models;
 Deep Scattering Layers;
 Fourier Series;
 Planetary Atmospheres;
 Radiation Distribution;
 Atmospheric Optics;
 Luminous Intensity;
 Mathematical Models;
 Optical Density;
 Radiative Transfer;
 Astronomy