Vv. Marinyuk et al., PROPAGATION OF A STATIONARY LIGHT-FLUX IN A RANDOMLY INHOMOGENEOUS 3DMEDIUM WITH A 6-DIRECTIONAL SCATTERING PHASE FUNCTION, Laser physics, 7(2), 1997, pp. 461-465
In this paper, we study the propagation of light fluxes in a semi infi
nite randomly inhomogeneous absorbing medium with chaotically distribu
ted scattering centers. The real law of single scattering is simulated
with a six-directional model scattering phase function. The case of n
ormal incidence of a broad stationary light flux on a flat surface of
a medium is considered. With such a geometry of the problem, we can de
rive the exact analytical solution to the transfer equation with the s
ix-directional scattering phase function specified above. The problem
of reflection of light is analyzed in detail. The total coefficient of
reflection from such a model medium is calculated. The results of our
analysis are compared with the exact reflection coefficient correspon
ding to an isotropic law of single scattering described by the Chandra
sekhar formula. It is shown that the mean value of the reflection coef
ficient calculated with the use of six- and two-directional scattering
phase functions coincides with predictions of the Chandrasekhar formu
la within an accuracy of 5% in a broad range of the values of the abso
rption coefficient of a medium.