Computer-aided calculation of the depths of formation of the central portions of weak Fraunhofer lines

Details Computer-aided calculation of the depths of formation of the central portions of weak Fraunhofer lines Computer-aided calculation of the depths of formation of the central portions of weak Fraunhofer lines

Oct 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975velen......132d&link_type=abstract

Leningradskii Universitet, Vestnik, Matematika, Mekhanika, Astronomiia, Oct. 1975, p. 132-136. In Russian.

Astronomy and Astrophysics

Astronomy

Absorption Spectra, Computer Techniques, Fraunhofer Lines, Solar Atmosphere, Solar Spectra, Spectral Line Width, Depth Measurement, Integral Equations, Photosphere

Scientific paper

In order to study such phenomena as the rotational speed of the sun as a function of the depth of the atmosphere, or the velocity field at various levels of the photosphere on the basis of observed spectral line shifts, it is necessary to know the effective depths of the photospheric layers that are responsible for the formation of the individual absorption lines. Of particular interest is the depth of formation of the central portion of line rather than of the entire line. In this paper, Minnaert's (1948) concept of the mean optical depth of formation of absorption lines is analyzed, treating it as the mathematical expectation of the depth of a stellar atmosphere, from which quanta go out in a given direction without reemission. A formula for this mean optical depth is derived in a form well suited for computer adaptation.

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