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Topology of magnetic fields from MDI data: Background field

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Abstract

A quantitative description of the geometry and topology of the magnetic field of the Sun is given in terms of Minkowski functionals: the Euler characteristic and the perimeter of excursion sets for specified levels. Methods of mathematical morphology are applied to background fragments of magnetograms for the entire solar disk. The results obtained show that the topological characteristics of the background field are stable in time and correspond to log-normal, intermittent random fields.

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Authors and Affiliations

  1. Main Astronomical Observatory, Russian Academy of Sciences, St. Petersburg (Pulkovo), Russia

    I. S. Knyazeva & N. G. Makarenko

  2. Institute of Mathematics of the Ministry of Education and Science of the Republic of Kazakhstan, Almaty, Republic of Kazakhstan

    L. M. Karimova

Authors
  1. I. S. Knyazeva
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  2. N. G. Makarenko
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  3. L. M. Karimova
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Additional information

Original Russian Text © I.S. Knyazeva, N.G. Makarenko, L.M. Karimova, 2010, published in Astronomicheskiĭ Zhurnal, 2010, Vol. 87, No. 8, pp. 812–821.

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Knyazeva, I.S., Makarenko, N.G. & Karimova, L.M. Topology of magnetic fields from MDI data: Background field. Astron. Rep. 54, 747–755 (2010). https://doi.org/10.1134/S1063772910080081

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  • DOI: https://doi.org/10.1134/S1063772910080081

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