17 citations · 61 across the 9 of their papers we have counts for
9 papers
Exact results in modeling planetary atmospheres--I. Gray atmospheres
Loic Chevallier, Joachim Pelkowski, Bernard Rutily
An exact model is proposed for a gray, isotropically scattering planetary atmosphere in radiative equilibrium. The slab is illuminated on one side by a collimated beam and is bound…
The accuracy of the ALI method for solving the radiative transfer equation in stellar atmospheres
L. Chevallier, F. Paletou, B. Rutily
We test the accuracy of the ALI method, widely used in stellar atmosphere modelling, by solving exactly a standard radiative transfer problem in plane-parallel geometry. Some recom…
Radiative transfer in plane-parallel media and Cauchy integral equations III. The finite case
B. Rutily, L. Chevallier, J. Bergeat
We come back to the Cauchy integral equations occurring in radiative transfer problems posed in finite, plane-parallel media with light scattering taken as monochromatic and isotro…
Radiative transfer in plane-parallel media and Cauchy integral equations II. The H-function
B. Rutily, J. Bergeat, L. Chevallier
In the central part of this paper, we revisit the classical study of the H-function defined as the unique solution, regular in the right complex half-plane, of a Cauchy integral eq…
The finite Laplace transform for solving a weakly singular integral equation occurring in transfer theory
B. Rutily, L. Chevallier
We solve a weakly singular integral equation by Laplace transformation over a finite interval of R. The equation is transformed into a Cauchy integral equation, whose resolution am…
Integral equations for the H- X- and Y-functions
B. Rutily, L. Chevallier, J. Bergeat
We come back to a non linear integral equation satisfied by the function H, which is distinct from the classical H-equation. Established for the first time by Busbridge (1955), it…