Depolarization of multiple scattered light in atmospheres due to anisotropy of small grains and molecules

Abstract

Freely oriented small anisotropic grains and molecules depolarize radiation both in single scattering and in the process of multiple scattering. Especially large depolarization occurs for resonant scattering corresponding to the electron transitions between the energy levels with very different quantum numbers. The existence of light absorption also changes essentially the angular distribution and polarization of radiation, outgoing from an atmosphere. In the present paper we consider these effects in detail both for continuum radiation and for resonant lines. Because the term describing the depolarization deals with isotropic radiation, we consider the axially symmetric part of radiation. We derived the formulas for observed intensity and polarization using the invariance-principles both for continuum and resonant scattering. We confine ourselves to two problems -the diffuse reflection of the light beam from semi-infinite atmosphere, and the Milne problem.

Radiative transfer in scattering stochastic atmospheres

“…(65) can be solved by resolvent matrix technique (see Silant'ev et al 2014Silant'ev et al , 2015. In the limiting cases of Eq.…”

“…It should be noted that Eq. ( 65) can be solved by resolvent matrix technique (see Silant'ev et al 2014Silant'ev et al , 2015.…”

Depolarization of multiple scattered light in atmospheres due to anisotropy of small grains and molecules. II. The problems with sources

“…(1) andĤ (2) Let us multiply equation for H (1) (µ) by the value λzâ(µ 2 )/(z − µ) from the right side of equation and take the integration over µ in the interval (0,1). For brevity, we introduced λ = 3(1−q) 8 . As a result, we obtain the expression:…”