Non-Coherent Scattering--IV Doppler Redistribution Functions in Moving Atmospheres

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Abstract
Redistribution functions and their directional averages are derived for scattering by an assembly of atoms possessing a Maxwellian distribution in a frame moving with respect to the observer. Various assumptions concerning the form of the absorption coefficient and the coherence properties in the atom's rest frame are considered. The exact redistribution function for pure Doppler broadening is expanded in Legendre polynomials to facilitate evaluation of the source function. From the expansion it is clear that the use of direction-averaged redistribution functions will be significantly less accurate for moving than for static media.

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