Line formation in an unresolved magnetic element - A test of the centre of gravity method

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Center Of Gravity, Lines Of Force, Solar Magnetic Field, Solar Spectra, Astronomical Models, Atmospheric Models, Circular Polarization

Scientific paper

The problem of multidimensional LTE line formation in a magnetic field is solved in a model of an unresolved magnetic element imbedded in the solar photosphere. Horizontal and vertical variations of the physical parameters are included. Calculations show that, in circular polarization analysis, the centre of gravity displacement of the line profile gives a very good measurement of the longitudinal field averaged over the area observed. For small line weakenings the accuracy is probably better than 10%. Also the method is not affected by Zeeman saturation. A method based on centre of gravity measurements is proposed for inferring a 'model-independent' value of the average longitudinal field inside an unresolved magnetic element.

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