The asymptotics of light reflection and transmission functions of a horizontal inhomogeneous layer
Abstract
The reflection of solar radiation by a plane atmospheric layer is considered theoretically. The scattering coefficient of the layer is assumed to be horizontally inhomogeneous, and the absorption coefficient is constant. The solution to the problem is given in the form of a series of perturbations with respect to the scattering coefficient epsilon, with each term in the series expanded into a Fourier series over the horizontal coordinate. Asymptotic formulas are derived to relate the spatial amplitudes of the scattering and transmission functions in a finite layer of large optical thickness to the scattering function in an semifinite layer. The formulas are also found to be valid for anisotropic scattering.
- Publication:
-
Akademiia Nauk SSSR Fizika Atmosfery i Okeana
- Pub Date:
- May 1985
- Bibcode:
- 1985FizAO..21..498T
- Keywords:
-
- Asymptotic Properties;
- Atmospheric Boundary Layer;
- Atmospheric Optics;
- Light Transmission;
- Optical Reflection;
- Solar Radiation;
- Absorptivity;
- Fourier Series;
- Functions (Mathematics);
- Horizontal Orientation;
- Inhomogeneity;
- Optical Thickness;
- Scattering Coefficients