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Analysis of Oscillatory Modes of the Magnetic Field of Solar Facular Formations

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Abstract

Quasi-periodical variations in the magnetic fields of long-living, small-scale magnetic structures, solar facular formations (FFs), are analyzed. We used the method of Empirical Mode Decomposition (EMD) to reveal the empirical modes of time series of magnetic field variations in four FFs and tested them for the existence of coloured noise. We proposed a qualitative interpretation of statistically reliable oscillatory modes.

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REFERENCES

  1. Chelpanov, A.A., Kobanov, N.I., and Kolobov, D.Y. Characteristics of oscillations in magnetic knots of solar faculae, Astron. Rep., 2015, vol. 59, no. 10, pp. 968–973.

    Article  Google Scholar 

  2. Couvidat, S., Schou, J., Shine, R.A., et al., Wavelength dependence of the Helioseismic and Magnetic Imager (HMI) instrument onboard the Solar Dynamics Observatory (SDO), Sol. Phys., 2012, vol. 275, pp. 285–325.

    Article  Google Scholar 

  3. Flandrin, P., Rilling, G., and Goncalves, P., Empirical mode decomposition as a filter bank, IEEE Signal Process. Lett., 2004, vol. 11, no. 2, pp. 112–114.

    Article  Google Scholar 

  4. Gelfreikh, G.B., Nagovitsyn, Y.A., and Nagovitsyna, E.Y., Quasi-periodic oscillations of microwave emission in solar active regions, Publ. Astron. Soc. Jpn., 2006, vol. 58, pp. 29–35.

    Article  Google Scholar 

  5. Huang, N.E., Shen, Z., Long, S.R., et al., The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis, Proc. R. Soc. London, Ser. A, 1998, vol. 454, pp. 903–995.

    Article  Google Scholar 

  6. Jess, D.B. and Verth, G., Ultra-high-resolution observations of MHD waves in photospheric magnetic structures, in Low-Frequency Waves in Space Plasmas, Wiley, 2006, vol. 216, pp. 449–465.

    Google Scholar 

  7. Kobanov, N.I. and Pulyaev, V.A., Features of spatial distribution of oscillations in faculae regions, Sol. Phys., 2011, vol. 268, no. 2, pp. 329–334.

    Article  Google Scholar 

  8. Kolotkov, D.Y., Smirnova, V.V., Strekalova, P.V., Riehokainen, A., and Nakariakov, V.M., Long-period quasi-periodic oscillations of a small-scale magnetic structure on the Sun, Astron. Astrophys., 2017, vol. 598, id L2.

  9. Kostik, R., & Khomenko E. The possible origin of facular brightness in the solar atmosphere Astron. Astrophys., V589, id. A6, 7 PP., 2016.

  10. Martínez González, M.J., Asensio Ramos, A., Manso Sainz, R., et al., Unnoticed magnetic field oscillations in the very quiet Sun revealed by SUNRISE/IMaX, Astron. J. Lett., 2011, vol. 730, no. 2, id. L37.

  11. Nagovitsyn, Yu.A. and Nagovitsyna, E.Yu., Long-period oscillation processes in sunspot groups (ground-based and exoatmospheric observations), Geomagn. Aeron. (Engl. Transl.), 2011, vol. 51, no. 8, pp. 1049–1053.

  12. Nakariakov, V.M., Aschwanden, M.J., and van Doorsselaere, T., The possible role of vortex shedding in the excitation of kink-mode oscillations in the solar corona, Astron. Astrophys., 2009, vol. 502, pp. 661–664.

    Article  Google Scholar 

  13. Solov’ev, A. and Kirichek, E., Basic properties of sunspots: Equilibrium, stability and long-term eigen oscillations, Astrophys. Space Sci., 2014, vol. 352, no. 1, pp. 23–42.

    Article  Google Scholar 

  14. Strekalova, P.V., Nagovitsyn, Yu.A., Riekhokainen, A., and Smirnova, V.V., Temporal variations in the magnetic field of solar flares, in Solnechnaya i solnechno–zemnaya fizika-2015. Trudy konferentsii (Solar and Solar–Terrestrial Physics-2015: Proceedings of Conference), 2015, pp. 339–342.

  15. Strekalova, P.V., Nagovitsyn, Yu.A., Riehokainen, A., and Smirnova, V.V., Long-period variations in the magnetic field of small-scale solar structures, Geomagn. Aeron. (Engl. Transl.), 2016, vol. 56, no. 8, pp. 1052–1059.

  16. Wu, Z. and Huang, N.E., A study of the characteristics of white noise using the empirical mode decomposition method, R. Soc. London, Proc. Ser. A, 2004, vol. 460, no. 2046, pp. 1597–1611.

    Article  Google Scholar 

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ACKNOWLEDGMENTS

This work was supported in part by the Russian Foundation for Basic Research (grant nos. 16-02-00090, 18-02-00168, 18-32-00555) and by the Program of the Presidium of the Russian Academy of Sciences no. 28.

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Authors and Affiliations

  1. Central Astronomical Observatory at Pulkovo of the Russian Academy of Sciences, St. Petersburg, Russia

    P. V. Strekalova, Yu. A. Nagovitsyn & V. V. Smirnova

  2. St. Petersburg State University of Aerospace Instrumentation, St. Petersburg, Russia

    Yu. A. Nagovitsyn

Authors
  1. P. V. Strekalova
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  2. Yu. A. Nagovitsyn
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  3. V. V. Smirnova
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Correspondence to P. V. Strekalova.

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Translated by E. Morozov

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Strekalova, P.V., Nagovitsyn, Y.A. & Smirnova, V.V. Analysis of Oscillatory Modes of the Magnetic Field of Solar Facular Formations. Geomagn. Aeron. 58, 893–898 (2018). https://doi.org/10.1134/S0016793218070204

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  • DOI: https://doi.org/10.1134/S0016793218070204

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