# The generalized Milne problem in gas-dusty atmosphere

The generalized Milne problem in gas-dusty atmosphere We consider the generalized Milne problem in non-conservative plane-parallel optically thick atmosphere consisting of two components—the free electrons and small dust particles. Recall, that the traditional Milne problem describes the propagation of radiation through the conservative (without absorption) optically thick atmosphere when the source of thermal radiation is located far below the surface. In such case, the flux of propagating light is the same at every distance in an atmosphere. In the generalized Milne problem, the flux changes inside the atmosphere. The solutions of both the Milne problems give the angular distribution and polarization degree of emerging radiation. The considered problem depends on two dimensionless parameters W $W$ and ( a + b $a+b$ ), which depend on three parameters: η $\eta$ —the ratio of optical depth due to free electrons to optical depth due to small dust grains; the absorption factor ε $\varepsilon$ of dust grains and two coefficients— b ‾ 1 $\overline{b}_{1}$ and b ‾ 2 $\overline{b}_{2}$ , describing the averaged anisotropic dust grains. These coefficients obey the relation b ‾ 1 + 3 b ‾ 2 = 1 $\overline{b}_{1}+3\overline{b}_{2}=1$ . The goal of the paper is to study the dependence of the radiation angular distribution and degree of polarization of emerging light on these parameters. Here we consider only continuum radiation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Astrophysics and Space Science Springer Journals

# The generalized Milne problem in gas-dusty atmosphere

, Volume 362 (9) – Aug 2, 2017
10 pages

/lp/springer_journal/the-generalized-milne-problem-in-gas-dusty-atmosphere-KVuMxKgPJE
Publisher
Springer Netherlands
Subject
Physics; Astrophysics and Astroparticles; Astronomy, Observations and Techniques; Cosmology; Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) ; Astrobiology
ISSN
0004-640X
eISSN
1572-946X
D.O.I.
10.1007/s10509-017-3137-5
Publisher site
See Article on Publisher Site

### Abstract

We consider the generalized Milne problem in non-conservative plane-parallel optically thick atmosphere consisting of two components—the free electrons and small dust particles. Recall, that the traditional Milne problem describes the propagation of radiation through the conservative (without absorption) optically thick atmosphere when the source of thermal radiation is located far below the surface. In such case, the flux of propagating light is the same at every distance in an atmosphere. In the generalized Milne problem, the flux changes inside the atmosphere. The solutions of both the Milne problems give the angular distribution and polarization degree of emerging radiation. The considered problem depends on two dimensionless parameters W $W$ and ( a + b $a+b$ ), which depend on three parameters: η $\eta$ —the ratio of optical depth due to free electrons to optical depth due to small dust grains; the absorption factor ε $\varepsilon$ of dust grains and two coefficients— b ‾ 1 $\overline{b}_{1}$ and b ‾ 2 $\overline{b}_{2}$ , describing the averaged anisotropic dust grains. These coefficients obey the relation b ‾ 1 + 3 b ‾ 2 = 1 $\overline{b}_{1}+3\overline{b}_{2}=1$ . The goal of the paper is to study the dependence of the radiation angular distribution and degree of polarization of emerging light on these parameters. Here we consider only continuum radiation.

### Journal

Astrophysics and Space ScienceSpringer Journals

Published: Aug 2, 2017

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