Thomson scattering in the presence of a weak magnetic field

Astronomy and Astrophysics – Astronomy

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Polarized Light, Stellar Magnetic Fields, Thomson Scattering, Weak Energy Interactions, White Dwarf Stars, Giant Stars, Main Sequence Stars, Radiative Transfer

Scientific paper

A classical development of the scattering of the Stokes parameters that characterize an arbitrarily polarized light beam by electrons located in a magnetic field is presented. The magnetic field is considered to be "weak" in the sense that the formulae developed are accurate for frequencies greater than the gyro-frequency. For optical wavelengths, this implies a magnetic field <108G. Thus, the radiative transfer theory developed should be applicable to all main-sequence and giant stars and most white dwarfs for the optical part of the spectrum. The atmospheric geometry is that of a plane-parallel atmosphere and the full angular dependence of the source functions is included for a magnetic field having an arbitrary orientation to the atmosphere. While the geometrical development of the scattering matrix assumes a pure scattering atmosphere, the results are generalized to the non-gray case. Formulae for the approximate degree of polarization and its wavelength dependence are given.

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