Spectral line intensity and polarization in gas-dusty medium

TL;DR

This paper presents an exact solution for the spectral line radiative transfer equation in a gas-dusty medium, analyzing intensity and polarization of resonance radiation in semi-infinite atmospheres with various source types.

Contribution

It introduces an exact solution using resolvent matrices for vectorial radiative transfer equations in media with resonant atoms and dust, considering different source configurations.

Findings

Derived exact solutions for intensity and polarization of resonance radiation.

Analyzed effects of different source types on radiation properties.

Provided insights into radiative transfer in semi-infinite atmospheres.

Abstract

We study the standard spectral line radiative transfer equation for media consisting of resonant atoms and non-resonant components (the dust grains and the atoms without considered spectral transition). Our goal is to study the intensity and polarization of the resonance radiation emerging from semi-infinite atmosphere. Using the known technique of resolvent matrices, we obtain the exact solution of vectorial radiative transfer equation for various sources of non-polarized radiation in semi-infinite atmosphere. Homogeneous, linear increasing and exponentially decreasing sources are considered. Recall, that homogeneous sources correspond to the isothermal atmosphere and the exponential ones correspond to the incident radiation with different angles of inclination.