{ "id": "1503.07670", "version": "v1", "published": "2015-03-26T10:08:54.000Z", "updated": "2015-03-26T10:08:54.000Z", "title": "Estimating the magnetic field strength from magnetograms", "authors": [ "A. Asensio Ramos", "M. J. Martinez Gonzalez", "R. Manso Sainz" ], "comment": "8 pages, 7 figures, accepted for publication in A&A", "categories": [ "astro-ph.SR" ], "abstract": "A properly calibrated longitudinal magnetograph is an instrument that measures circular polarization and gives an estimation of the magnetic flux density in each observed resolution element. This usually constitutes a lower bound of the field strength in the resolution element, given that it can be made arbitrarily large as long as it occupies a proportionally smaller area of the resolution element and/or becomes more transversal to the observer and still produce the same magnetic signal. Yet, we know that arbitrarily stronger fields are less likely --hG fields are more probable than kG fields, with fields above several kG virtually absent-- and we may even have partial information about its angular distribution. Based on a set of sensible considerations, we derive simple formulae based on a Bayesian analysis to give an improved estimation of the magnetic field strength for magnetographs.", "revisions": [ { "version": "v1", "updated": "2015-03-26T10:08:54.000Z" } ], "analyses": { "keywords": [ "magnetic field strength", "resolution element", "magnetograms", "magnetic flux density", "measures circular polarization" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }