The usefulness of analytic response functions
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Publication:3437689
DOI10.1051/0004-6361:20066201zbMATH Open1109.85002arXiv1211.1502OpenAlexW3106540567WikidataQ68598546 ScholiaQ68598546MaRDI QIDQ3437689
Author name not available (Why is that?)
Publication date: 9 May 2007
Published in: (Search for Journal in Brave)
Abstract: Aims:We introduce analytical response functions and their main properties as an important diagnostic tool that help understand Stokes profile formation physics and the meaning of well-known behaviors of standard inversion codes of the radiative transfer equation often used to measure solar magnetic fields. Methods: A Milne-Eddington model atmosphere is used as an example where response functions are analytical. A sample spectral line has been chosen to show the main qualitative properties. Results: We show that analytic response functions readily provide explanations for various well-known behaviors of spectral lines, such as the sensitivity of visible lines to weak magnetic fields or the trade-offs often detected in inversion codes between the Milne-Eddington thermodynamic parameters. We also show that response functions are helpful in selecting sample wavelengths optimized for specific parameter diagnostics.
Full work available at URL: https://arxiv.org/abs/1211.1502
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