Estimating the magnetic field strength from magnetograms

Author: Asensio Ramos A.   Martínez González M. J.   Manso Sainz R.  

Publisher: Edp Sciences

E-ISSN: 1432-0746|577|issue|A125-A125

ISSN: 0004-6361

Source: Astronomy & Astrophysics, Vol.577, Iss.issue, 2015-05, pp. : A125-A125

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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 while still produce the same magnetic signal. However, 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 their 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.