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A Global Two-scale Helicity Proxy from pi-ambiguous Solar Magnetic Fields
Stockholms universitet, Nordiska institutet för teoretisk fysik (Nordita). Stockholms universitet, Naturvetenskapliga fakulteten, Institutionen för astronomi. University of Colorado, USA; Carnegie Mellon University, USA.ORCID-id: 0000-0002-7304-021X
Rekke forfattare: 12019 (engelsk)Inngår i: Astrophysical Journal, ISSN 0004-637X, E-ISSN 1538-4357, Vol. 883, nr 2, artikkel-id 119Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

If the alpha effect plays a role in the generation of the Sun's magnetic field, the field should show evidence of magnetic helicity of opposite signs at large and small length scales. Measuring this faces two challenges: (i) in weak-field regions, horizontal field measurements are unreliable because of the pi ambiguity, and (ii) one needs a truly global approach to computing helicity spectra in the case where one expects a sign reversal across the equator at all wavenumbers. Here we develop such a method using spin-2 spherical harmonics to decompose the linear polarization in terms of the parity-even and parity-odd E and B polarizations, respectively. Using simple one- and two-dimensional models, we show that the product of the spectral decompositions of E and B, taken at spherical harmonic degrees that are shifted by one, can act as a proxy of the global magnetic helicity with a sign that represents that in the northern hemisphere. We then apply this method to the analysis of solar synoptic vector magnetograms, from which we extract a pseudo-polarization corresponding to a pi-ambiguated magnetic field, i.e., a magnetic field vector that has no arrow. We find a negative sign of the global EB helicity proxy at spherical harmonic degrees of around 6. This could indicate a positive magnetic helicity at large length scales, but the spectrum fails to capture clear evidence of the well-known negative magnetic helicity at smaller scales. This method might also be applicable to stellar and Galactic polarization data.

sted, utgiver, år, opplag, sider
2019. Vol. 883, nr 2, artikkel-id 119
Emneord [en]
dynamo, magnetic fields, polarization, techniques: polarimetric
HSV kategori
Identifikatorer
URN: urn:nbn:se:su:diva-175014DOI: 10.3847/1538-4357/ab3ec0ISI: 000488058300009OAI: oai:DiVA.org:su-175014DiVA, id: diva2:1367275
Tilgjengelig fra: 2019-11-01 Laget: 2019-11-01 Sist oppdatert: 2022-02-26bibliografisk kontrollert

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