A simple quadrature method for the evaluation of the redistribution functions R_{III,IV}(xÿ,nÿ;x,n).
Abstract
A simple and fast technique for generating the angledependent redistribution functions R sub III (x', n'; x, n) and R sub IV (x', n'; x, n) is presented which uses a simple quadrature with an errorcorrection method that may be easily applied to many radiationtransport problems. It is noted that these functions describe photon redistribution when deviations from strict frequency coherency are present in an atom's frame. The R sub III function is shown to assume collisional broadening of the upper transition state resulting in complete redistribution in an atom's frame, while the R sub IV function assumes that both transition states are radiation broadened only and describes resonant scattering resulting in partial frequency coherence in an atom's frame. The functions are plotted against various parameters governing their behavior and are found to be strongly angledependent. The behavior of these angledependent functions is compared with that of their angleaveraged counterparts.
 Publication:

Journal of Quantitative Spectroscopy and Radiative Transfer
 Pub Date:
 October 1975
 DOI:
 10.1016/00224073(75)901363
 Bibcode:
 1975JQSRT..15..929R
 Keywords:

 Angular Distribution;
 Atomic Spectra;
 Distribution Functions;
 Quadratures;
 Radiative Transfer;
 Spectral Line Width;
 Atomic Collisions;
 Electron Transitions;
 Line Shape;
 Resonance Scattering;
 Atomic and Molecular Physics