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

Abstract

The \ion{He}{1} multiplet at 10830 Åis 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 $\sim 10^{-2}$ mÅin the component positions and $\sim 10^{-3}$ 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.

arXiv commentApJ Supplements (in press)

References in corpus (3)

• The Hanle and Zeeman Effects in Solar Spicules: A Novel Diagnostic Window on Chromospheric Magnetism
• Signatures of Incomplete Paschen-Back Splitting in the Polarization Profiles of the He I 10830 multiplet
• Physical Properties of Spicules from Simultaneous Spectro-Polarimetric Observations of He I and Ca II Lines

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