Advertisement

Three-Dimensional Coronal Magnetic Field Based on the Photospheric Magnetic Field by Hinode/SP Observation

  • Satoshi Inoue
Chapter
Part of the Astrophysics and Space Science Library book series (ASSL, volume 449)

Abstract

Solar active phenomena observed in the solar corona are widely thought to be driven by the release of free magnetic energy accumulated in the coronal magnetic field. In order to understand these phenomena, we need to observe the three-dimensional (3D) coronal magnetic field. However, state-of-the-art instruments for solar observation can be used only for the photospheric magnetic field, as the 3D coronal magnetic field cannot be measured directly. Therefore, we need to numerically extrapolate the magnetic field above the photosphere as a boundary value problem based on the observed photospheric magnetic field. Hinode can provide the photospheric magnetic fields from space with unprecedented accuracy, which enables us to extrapolate the 3D magnetic field with the best possible accuracy. We report the several achievements based on the 3D extrapolated magnetic field.

Keywords

Sun: magnetic field Sun: corona Sun: flares 

Notes

Acknowledgements

I’m grateful to Dr. T. Shimizu who carefully read this manuscript and gave constructive comments.

References

  1. Amari, T., Canou, A., Aly, J.J., et al.: Characterizing and predicting the magnetic environment leading to solar eruptions. Nature 514, 465 (2014)ADSCrossRefGoogle Scholar
  2. Aschwanden, M.J.: The vertical-current approximation nonlinear force-free field code—description, performance tests, and measurements of magnetic energies dissipated in solar flares. Astrophys. J. Suppl. 224, 25 (2016)ADSCrossRefGoogle Scholar
  3. Berger, M.A., Prior, C.: The writhe of open and closed curves. J. Phys. A: Math. Gen. 39, 8321 (2006)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  4. Dedner, A., Kemm, F., Kroner, D., et al.: Hyperbolic divergence cleaning for the MHD equations. J. Comput. Phys. 175, 645 (2002)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  5. De Rosa, M.L., Schrijver, C.J., Barnes, G., et al.: A critical assessment of nonlinear force-free field modeling of the solar corona for active region 10953. Astrophys. J. 696, 1780 (2009)ADSCrossRefGoogle Scholar
  6. Gary, G.: Plasma beta above a solar active region: rethinking the paradigm. Sol. Phys. 203, 71 (2001)ADSCrossRefGoogle Scholar
  7. Guo, Y., Ding, M., Wiegelmann, T., et al.: 3D magnetic field configuration of the 2006 December 13 flare extrapolated with the optimization method. Astrophys. J. 679, 1629 (2008)Google Scholar
  8. He, H., Wang, H., Yan, Y., et al.: Variations of the 3-D coronal magnetic field associated with the X3.4-class solar flare event of AR 10930. J. Geophys. Res. 119, 3286 (2014)Google Scholar
  9. Inoue, S.: Magnetohydrodynamics modeling of coronal magnetic field and solar eruptions based on the photospheric magnetic field. Prog. Earth Planet. Sci. 3, 19 (2016)ADSCrossRefGoogle Scholar
  10. Inoue, S., Kusano, K., Magara, T., et al.: Twist and connectivity of magnetic field lines in the solar active region NOAA 10930. Astrophys. J. 738, 161 (2011)ADSCrossRefGoogle Scholar
  11. Inoue, S., Shiota, D., Yamamoto, T.T., et al.: Buildup and release of magnetic twist during the X3.4 solar flare of 2006 December 13. Astrophys. J. 760, 17 (2012)Google Scholar
  12. Inoue, S., Magara, T., Pandey, V.S., et al.: Nonlinear force-free extrapolation of the coronal magnetic field based on the magnetohydrodynamic relaxation method. Astrophys. J. 780, 101 (2014a)ADSCrossRefGoogle Scholar
  13. Inoue, S., Hayashi, K., Magara, T., et al.: Magnetohydrodynamic simulation of the X2.2 solar flare on 2011 February 15. I. Comparison with the observations. Astrophys. J. 788, 182 (2014b)Google Scholar
  14. Inoue, S., Hayashi, K., Magara, T., et al.: Magnetohydrodynamic simulation of the X2.2 solar flare on 2011 February 15. II. Dynamics connecting the solar flare and the coronal mass ejection. Astrophys. J. 803, 73 (2015)Google Scholar
  15. Jiang, C., Feng, X., Wu, S.T., et al.: Magnetohydrodynamic simulation of a sigmoid eruption of active region 11283. Astrophys. J. Lett. 771, L30 (2013)ADSCrossRefGoogle Scholar
  16. Kliem, B., Török, T.: Torus instability. Phys. Rev. Lett. 514, 465 (2006)Google Scholar
  17. Kosugi, T., Matsuzaki, K., Sakao, T. et al.: The Hinode (solar-B) mission: an overview. Sol. Phys. 243, 3 (2007)ADSCrossRefGoogle Scholar
  18. Low, B.C., Lou, Y.Q.: Modeling solar force-free magnetic fields. Astrophys. J. 352, 343 (1990)ADSCrossRefGoogle Scholar
  19. Metcalf, T.R., Jiao, L., MaClymont, A.N., et al.: Is the solar chromospheric magnetic field force-free? Astrophys. J. 439, 474 (1995)ADSCrossRefGoogle Scholar
  20. Priest, E., Forbes, T.: The magnetic nature of solar flares. Astron. Astrophys. Rev. 10, 313 (2002)ADSCrossRefGoogle Scholar
  21. Régnier, S., Amari, T., Kersalé, E.: 3D coronal magnetic field from vector magnetograms: non-constant-alpha force-free configuration of the active region NOAA 8151. Astron. Astrophys. 392, 1119 (2002)ADSCrossRefGoogle Scholar
  22. Sakurai, T.: Computational modeling of magnetic fields in solar active regions. Space Sci. Rev. 51, 11 (1989)ADSGoogle Scholar
  23. Schrijver, C.J., De Rosa, M.L., Metcalf, T.R., et al.: Nonlinear force-free modeling of coronal magnetic fields part I: a quantitative comparison of methods. Sol. Phys. 235, 161 (2006)ADSCrossRefGoogle Scholar
  24. Schrijver, C.J., DeRosa, M.L., Metcalf, T., et al.: Nonlinear force-free field modeling of a solar active region around the time of a major flare and coronal mass ejection. Astrophys. J. 675, 1637 (2008)ADSCrossRefGoogle Scholar
  25. Shibata, K., Magara, T.: Solar flares: magnetohydrodynamic processes. Living Rev. Sol. Phys. 8, 6 (2011)ADSCrossRefGoogle Scholar
  26. Tsuneta, S., Ichimoto, K., Katsukawa, Y. et al.: The solar optical telescope for the Hinode mission: an overview. Sol. Phys. 249, 167 (2008)ADSCrossRefGoogle Scholar
  27. van Ballegooijen, A.A.: Observations and modeling of a filament on the Sun. Astrophys. J. 612, 519 (2004)ADSCrossRefGoogle Scholar
  28. Wiegelmann, T., Sakurai, T.: Solar force-free magnetic fields. Living Rev. Sol. Phys. 9, 5 (2012)ADSCrossRefGoogle Scholar
  29. Wiegelmann, T., Inhester, B., Sakurai, T.: Preprocessing of vector magnetograph data for a nonlinear force-free magnetic field reconstruction. Sol. Phys. 233, 215 (2006)ADSCrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Institute for Space-Earth Environmental ResearchNagoya UniversityNagoyaJapan

Personalised recommendations