Angle-dependent frequency redistribution - Internal source case

Astronomy and Astrophysics – Astrophysics

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Atomic Spectra, Frequency Distribution, Light Scattering, Optical Thickness, Radiative Transfer, Resonance Scattering, Angular Distribution, Atomic Excitations, Maxwell-Boltzmann Density Function, Radiation Sources, Spectral Energy Distribution

Scientific paper

The effects of various approximations of the theory of frequency redistribution in resonant scattering are investigated for a plane-parallel layer of two-level Maxwell-Boltzmann atoms with natural broadening of the upper level. The excitation source is inside the medium. Two limiting cases are examined: a uniform source and a discrete source located at the center of the medium. It is found that for large optical depths (10,000), the 'exact' angle-dependent partial redistribution function is required if high accuracy is desired for the emission rate inside the medium or for line profiles. Complete frequency redistribution, both with and without inclusion of the natural wings, is often a poor approximation. However, the integrated emission rate as viewed from outside the medium is virtually independent of the details of the frequency redistribution for the cases considered.

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