Multiple scattering and the phase variation of equivalent widths for phase functions of type P(cos theta) = omega + omega (1)P(1)(cos theta) + omega(2)P(2)(cos theta)

Details Multiple scattering and the phase variation of equivalent widths for phase functions of type P(cos theta) = omega + omega (1)P(1)(cos theta) + omega(2)P(2)(cos theta) Multiple scattering and the phase variation of equivalent widths for phase functions of type P(cos theta) = omega + omega (1)P(1)(cos theta) + omega(2)P(2)(cos theta)

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..96..107b&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 96, no. 1, Oct. 1983, p. 107-123.

Mathematics

2

Astronomical Spectroscopy, Atmospheric Scattering, Line Spectra, Planetary Atmospheres, Spectral Line Width, Functions (Mathematics), Phase Deviation, Tables (Data)

Scientific paper

A theoretical investigation of the defects of multiple scattering on the phase variation of equivalent widths (EW) is presented. A phase function is defined in which the parameters can be varied to get different shapes which imply different angular dependence of the energy distribution of the scattered radiation. The complete solution of the transfer equation for this function (Horak and Chandrasekhar, 1961) is used to compute the relevant H-functions and intensities, from which the integrated fluxes and EWs at different phase angles are obtained. Tables of results, scatter diagrams, and graphs of significant relationships are provided. It is found that the absolute EW and phase-function values at any phase angle are inversely related, and that the phase effect is enhanced for a weaker line. These results are discussed as they apply to the identification of structures in the atmospheres of the planets from ground-based or space-probe absorption-line measurements.

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