Volterra equation for the matrix source function at resonance scattering

Details Volterra equation for the matrix source function at resonance scattering Volterra equation for the matrix source function at resonance scattering

Jul 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010ap.....53..419d&link_type=abstract

Astrophysics, Volume 53, Issue 3, pp.419-433

Astronomy and Astrophysics

Astrophysics

Resonance Scattering, Source Function, Doppler Profile

Scientific paper

A matrix transfer equation for multiple resonance scattering of radiation in a spectral line in a semiinfinite atmosphere with a uniform distribution of primary radiation sources is examined. A nonlinear matrix integral is obtained for this equation as a generalization of the Rybicki two-point Q-integral. One special case of the matrix {mathbf{hat{Q}}} -integral is the Volterra equation for the matrix source function of the problem discussed here. The Volterra equation is solved numerically for a Doppler profile of the absorption coefficient. Several polarization characteristics of the emerging radiation are obtained.

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