Vs. Remizovich et Av. Radkevich, CALCULATION OF LIGHT FIELDS USING THE MODIFIED 2P(0) APPROXIMATION INTHE FRAMEWORK OF THE METHOD OF SEPARATION OF LIGHT-FLUXES, Laser physics, 6(4), 1996, pp. 679-694
In this paper, we consider the problem of propagation of optical radia
tion under conditions of flat geometry of the scattering medium. An or
iginal approach to the calculation of light fields based on the method
of separation of fluxes with subsequent expansion of descending and a
scending radiation in the modified Legendre polynomials is suggested.
Of principal importance is the separation of the anisotropic part of r
adiation in the descending flux, which corresponds to photons that sys
tematically propagate toward the inside of the medium. In the framewor
k of the modified 2P(0) approximation for the light fluxes, the set of
equations is formulated. It is shown that the value of the mean singl
e-scattering angle is the major characteristic of a medium directly co
nnected with the probability of a change in the sign of the photon vel
ocity projection on an arbitrary direction. The Green's function of th
e set of equations in the modified 2P(0) approximation for a flat scat
terer of finite thickness is determined. In a particular case of isotr
opic single scattering, the expression for the reflection coefficient
from a semi-infinite medium is obtained. Comparison of obtained result
s with the results of calculations in the two-flux approximation and w
ith the exact results of Ambartsumyan and Chandrasekhar is presented.