Abstract
This work is devoted to the study of peculiarities in the magnetic coupling of the solar hemispheres over a solar activity cycle. Two approaches have been used. We have studied (i) the magnetic coupling of active regions (ARs) located in different hemispheres in the vicinity of the central meridian and, simultaneously, in the vicinity of the equator and (ii) the properties and time variation of the meridional component of the equatorial magnetic field derived from a potential-field source surface (PFSS) reconstruction at the heliocentric distance of 1.1 solar radii. In the first case, it was shown that most of the ARs in the selected pairs were magnetically connected by field lines in their leading parts. In the second case, the magnetic field monthly mean meridional component, \(B_{\theta }\), in the equatorial plane, which magnetically connects the two hemispheres, displayed a cyclic time variation. In the process, the extreme values of \(B_{\theta }\) (both positive and negative) coincided in time with the sunspot maxima, and the amplitude of the \(B_{\theta }\) extreme values decreased with decreasing height of the sunspot activity cycle. The sign of the \(B_{\theta }\) extreme value was opposite to the sign of the forthcoming extreme value of the polar field, while the sign of \(B_{\theta }\) coincided with that of the field lines connecting the leading spots. This means that the polar field is indeed generated by the trailing spots of ARs, and the magnetic flux of the leading spots closes through the equator.
Similar content being viewed by others
References
Altschuler, M.D., Newkirk, G.: 1969, Magnetic fields and the structure of the solar corona. I: Methods of calculating coronal fields. Solar Phys. 9(1), 131. DOI. ADS.
Altschuler, M.D., Levine, R.H., Stix, M., Harvey, J.: 1977, High resolution mapping of the magnetic field of the solar corona. Solar Phys. 51(2), 345. DOI. ADS.
Babcock, H.W.: 1961, The topology of the Sun’s magnetic field and the 22-YEAR cycle. Astrophys. J. 133, 572. DOI. ADS.
Bisoi, S.K., Janardhan, P.: 2020, A new tool for predicting the solar cycle: Correlation between flux transport at the equator and the poles. Solar Phys. 295(6), 79. DOI. ADS.
Cameron, R.H., Jiang, J., Schüssler, M.: 2016, Solar Cycle 25: Another moderate cycle? Astrophys. J. Lett. 823(2), L22. DOI. ADS.
Charbonneau, P.: 2010, Dynamo models of the solar cycle. Living Rev. Solar Phys. 7(1), 3. DOI. ADS.
De Jager, C., Akasofu, S.-I., Duhau, S., Livingston, W.C., Nieuwenhuijzen, H., Potgieter, M.S.: 2016, A remarkable recent transition in the solar dynamo. Space Sci. Rev. 201, 109. DOI. ADS.
Georgieva, K.: 2011, Why the sunspot cycle is double peaked. ISRN Astron. Astrophys. 2011, 437838. DOI. ADS.
Gopalswamy, N., Mäkelä, P., Yashiro, S., Akiyama, S.: 2018, Long-term solar activity studies using microwave imaging observations and prediction for cycle 25. J. Atmos. Solar-Terr. Phys. 176, 26. DOI. ADS.
Guo, Y., Ding, M.D., Liu, Y., Sun, X.D., DeRosa, M.L., Wiegelmann, T.: 2012, Modeling magnetic field structure of a solar active region corona using nonlinear force-free fields in spherical geometry. Astrophys. J. 760(1), 47. DOI. ADS.
Harvey, K.L.: 1996, Large scale patterns of magnetic activity and the solar cycle. 188th AAS Meeting, No. 33.02. Bull. Am. Astron. Soc. 28, 867. ADS.
Hathaway, D.H., Upton, L.A.: 2016, Predicting the amplitude and hemispheric asymmetry of solar cycle 25 with surface flux transport. J. Geophys. Res. 121(11), 10,744. DOI. ADS.
Hoeksema, J.T.: 1984, Structure and Evolution of the Large Scale Solar and Heliospheric Magnetic Fields. Thesis (Ph.D.)-Stanford University. Source: Dissertation Abstracts International, volume 45-06, Section B, page 1811. ADS.
Hoeksema, J.T., Scherrer, P.H.: 1984, Harmonic analysis of the solar magnetic field. In: ESA the Hydromagnetics of the Sun, SEE N85-25091 14-92, 269. ADS.
Iijima, H., Hotta, H., Imada, S.: 2019, Effect of morphological asymmetry between leading and following sunspots on the prediction of solar cycle activity. Astrophys. J. 883, 241. DOI. ADS.
Iijima, H., Hotta, H., Imada, S., Kusano, K., Shiota, D.: 2017, Improvement of solar-cycle prediction: Plateau of solar axial dipole moment. Astron. Astrophys. 607, L2. DOI. ADS.
Jiang, J., Cao, J.: 2018, Predicting solar surface large-scale magnetic field of Cycle 24. J. Atmos. Solar-Terr. Phys. 176, 34. DOI. ADS.
Jiang, J., Hathaway, D.H., Cameron, R.H., Solanki, S.K., Gizon, L., Upton, L.: 2014, Magnetic flux transport at the solar surface. Space Sci. Rev. 186(1), 491. DOI. ADS.
Krause, F., Radler, K.H.: 1980, Mean Field Magnetohydrodynamics and Dynamo Theory, Pergamon Press, Oxford. ADS.
Leighton, R.B.: 1969, A magneto-kinematic model of the solar cycle. Astrophys. J. 156, 1. DOI. ADS.
Lemen, J.R., Title, A.M., Akin, D.J., Boerner, P.F., Chou, C., Drake, J.F., Duncan, D.W., Edwards, C.G., Friedlaender, F.M.: 2012, The atmospheric imaging assembly (AIA) on the solar dynamics observatory (SDO). Solar Phys. 275(1–2), 17. DOI. ADS.
Muñoz-Jaramillo, A., Dasi-Espuig, M., Balmaceda, L.A., DeLuca, E.E.: 2013, Solar cycle propagation, memory, and prediction: Insights from a century of magnetic proxies. Astrophys. J. Lett. 767(2), L25. DOI. ADS.
Norton, A.A., Charbonneau, P., Passos, D.: 2014, Hemispheric coupling: comparing dynamo simulations and observations. Space Sci. Rev. 186(1–4), 251. DOI. ADS.
Obridko, V.N., Kharshiladze, A.F., Shelting, B.D.: 1996, On calculating the solar wind parameters from the solar magnetic field data. Astron. Astrophys. Trans. 11(1), 65. DOI. ADS.
Obridko, V.N., Nagovitsyn, Yu.A., Georgieva, K.: 2012, The Unusual Sunspot Minimum: Challenge to the Solar Dynamo Theory, Astrophys. Space Sci. Proc. 30, 1. DOI. Springer, Berlin. ADS.
Obridko, V.N., Shelting, B.D.: 2017, Meridional component of the large-scale magnetic field at minimum and characteristics of the subsequent solar activity cycle. Astron. Lett. 43, 697. DOI. ADS.
Parker, E.N.: 1955, Hydromagnetic dynamo models. Astrophys. J. 122, 293. DOI. ADS.
Petrovay, K., Talafha, M.: 2019, Optimization of surface flux transport models for the solar polar magnetic field. Astron. Astrophys. 632, A87. DOI. ADS.
Rudenko, G.V.: 2001, Extrapolation of the solar magnetic field within the potential-field approximation from full-disk magnetograms. Solar Phys. 198(1), 5. DOI. ADS.
Schatten, K.H., Wilcox, J.M., Ness, N.F.: 1969, A model of interplanetary and coronal magnetic fields. Solar Phys. 6(3), 442. DOI. ADS.
Sokoloff, D., Fioc, M., Nesme-Ribes, E.: 1996, Asymptotic properties of dynamo waves. Magnetohydrodynamics 31, 18.
Sun, X., Hoeksema, J.T., Liu, Y., Wiegelmann, T., Hayashi, K., Chen, Q., Thalmann, J.: 2012, Evolution of magnetic field and energy in a major eruptive active region based on SDO/HMI observation. Astrophys. J. 748(2), 77. DOI. ADS.
Sykora, J., Badalyan, O.G., Obridko, V.N.: 2002, Relationship between the coronal shape and the magnetic field topology during the solar cycle. Adv. Space Res. 29(3), 395. DOI. ADS.
Trujillo Bueno, J., Shchukina, N., Asensio Ramos, A.: 2004, A substantial amount of hidden magnetic energy in the quiet sun. Nature 430(6997), 326. DOI. ADS.
Upton, L., Hathaway, D.H.: 2014a, Predicting the Sun’s polar magnetic fields with a surface flux transport model. Astrophys. J. 780, 5. DOI. ADS.
Upton, L., Hathaway, D.H.: 2014b, Effects of meridional flow variations on Solar Cycles 23 and 24. Astrophys. J. 792, 142. DOI. ADS.
Zagainova, Y.S., Fainshtein, V.G., Obridko, V.N., Rudenko, V.G.: 2017, Comparison of magnetic properties and shadow area of leading and trailing spots with different asymmetries. Geomagn. Aeron. 57(8), 946. DOI. ADS.
Acknowledgements
The authors are grateful to the SOLIS, WSO, and SDO teams for the free access to their data. The work was supported by the Basic Research program II.16 and RFBR grant No. 20-02-00150. G.V. Rudenko would like to thank Irkutsk Supercomputer Center of SB RAS for providing the access to HPC-cluster “Akademik V.M. Matrosov” (Irkutsk Supercomputer Center of SB RAS, Irkutsk: ISDCT SB RAS; http://hpc.icc.ru, accessed 16.05.2019).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Disclosure of Potential Conflicts of Interest
The authors declare that there are no conflicts of interest.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Obridko, V.N., Fainshtein, V.G., Zagainova, Y.S. et al. Magnetic Coupling of the Solar Hemispheres During the Solar Cycle. Sol Phys 295, 149 (2020). https://doi.org/10.1007/s11207-020-01716-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11207-020-01716-x