The radiative polarization transfer equations in hot Comptonizing electron scattering atmospheres including induced scattering

Astronomy and Astrophysics – Astronomy

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Compton Effect, Electron Scattering, Polarized Radiation, Radiation Distribution, Radiative Transfer, Stellar Atmospheres, Doppler Effect, Electron Energy, Energy Dissipation, Fokker-Planck Equation, Lorentz Contraction, Particle Motion, Photons, Recoilings, Relativity, Scattering Cross Sections

Scientific paper

The radiative transfer equations for the Stokes parameters I, Q for polarized radiation in hot Comptonizing electron scattering atmospheres are derived which include induced polarization effects for axisymmetric radiation fields. Equations correct to first order in electron temperature are obtained by a method similar to the Fokker-Planck approach, taking into account photon energy losses to electrons in electron recoil, relativistic aberration and time dilation effects in radiation scattering off moving electrons, incoherent scattering due to recoil effects and Doppler shifts, and the effects of Lorentz contraction and the energy dependence of the scattering cross section. Source terms for I, Q due to induced as well as spontaneous scattering are included, in contrast to the derivation of the radiative transfer equations for cold electron scattering atmospheres.

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