Polynomial Approximants for the Calculation of Polarization Profiles in the \ion{He}{1} 10830 ÅMultiplet

Details Polynomial Approximants for the Calculation of Polarization Profiles in the \ion{He}{1} 10830 ÅMultiplet Polynomial Approximants for the Calculation of Polarization Profiles in the \ion{He}{1} 10830 ÅMultiplet

2005-05-16

arxiv.org/abs/astro-ph/0505321v1

Astronomy and Astrophysics

Astrophysics

ApJ Supplements (in press)

Scientific paper

10.1086/431934

The \ion{He}{1} multiplet at 10830 \AA is formed in the incomplete Paschen-Back regime for typical conditions found in solar and stellar atmospheres. The positions and strengths of the various components that form the Zeeman structure of this multiplet in the Paschen-Back regime are approximated here by polynomials. The fitting errors are smaller than $\sim10^{-2}$ m\AA in the component positions and $\sim10^{-3}$ in the relative strengths. The approximant polynomials allow for a very fast implementation of the incomplete Paschen-Back regime in numerical codes for the synthesis and inversion of polarization profiles in this important multiplet.

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