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Magnetic modeling and tomography: First steps towards a consistent reconstruction of the solar corona

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Abstract

We undertake a first attempt towards a consistent reconstruction of the coronal magnetic field and the coronal density structure. We consider a stationary solar corona which has to obey the equations of magnetohydrostatics. We solve these equations with help of a newly developed optimization scheme. As a first step we illustrate how tomographic information can be included into the reconstruction of coronal magnetic fields. In a second step we use coronal magnetic field information to improve the tomographic inversion process. As input the scheme requires magnetic field measurements on the photosphere from vector-magnetographs and the line-of-sight integrated density distribution from coronagraphs. We test our codes with well-known analytic magnetohydrostatic equilibria and models. The program is planned for use within the STEREO mission.

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References

  • Amari, T., Aly, J. J., Luciani, J. F., Boulmezaoud, T. Z., and Mikić, Z.: 1997, Solar Phys. 174, 129.

    Google Scholar 

  • Chiu, Y. T. and Hilton, H. H.: 1977, Astrophys. J. 212, 821.

    Google Scholar 

  • Davila, J. M.: 1994, Astrophys. J. 423, 871.

    Google Scholar 

  • Frazin, R. A.: 2000, Astrophys. J. 530, 1026.

    Google Scholar 

  • Frazin, R. A.: 2002, Astrophys. J. 570, 408.

    Google Scholar 

  • Gary, G. A.: 1989, Astrophys. J. Suppl. 69, 323.

    Google Scholar 

  • Geiger, G. and Kanzow, C.: 1999, Numerische Verfahren zur Loesung unrestringierter Optimierungsaufgaben, Springer-Verlag, Berlin.

    Google Scholar 

  • Lothian, R. M. and Browning, P. K.: 1995, Solar Phys. 161, 289.

    Google Scholar 

  • Louis, A. K.: 1989, Inverse und schlecht gestellte Probleme, Teubner Studienbuecher ISBN 3-519-02085-X.

  • McClymont, A. N., Jiao, L., and Mikić, Z.: 1997, Solar Phys. 174, 191.

    Google Scholar 

  • Nakagawa, Y. and Raadu, M. A.: 1972, Solar Phys. 25, 127.

    Google Scholar 

  • Petrie, G. J. D. and Neukirch, T.: 2000, Astron. Astrophys. 356, 735.

    Google Scholar 

  • Roumeliotis, G.: 1996, Astrophys. J. 473, 1095.

    Google Scholar 

  • Rudenko, G. V.: 2001a, Solar Phys. 198, 5.

    Google Scholar 

  • Rudenko, G. V.: 2001b, Solar Phys. 198, 279.

    Google Scholar 

  • Sakurai, T.: 1981, Solar Phys. 69, 343.

    Google Scholar 

  • Sakurai, T.: 1982, Solar Phys. 76, 301.

    Google Scholar 

  • Schatten, K. H., Wilcox, J. M., and Ness N. F.: 1969, Solar Phys. 6, 442.

    Google Scholar 

  • Schindler, K.: 1972, in McCormac (eds.), Earth's Magnetospheric Processes, D. Reidel Publ. Co., Dordrecht, Holland, p. 200.

    Google Scholar 

  • Schmidt, H. V.: 1964, in W. N. Ness (ed.), ASS-NASA Symposium on the Physics of Solar Flares, NASA SP-50, p. 107.

  • Seehafer, N.: 1978, Solar Phys. 58, 215.

    Google Scholar 

  • Semel, M.: 1967, Ann. Astrophys. 30, 513.

    Google Scholar 

  • Semel, M.: 1988, Astron. Astrophys. 198, 293.

    Google Scholar 

  • Wheatland, M. S., Sturrock, P. A., and Roumeliotis, G.: 2000, Astrophys. J. 540, 1150.

    Google Scholar 

  • Wiegelmann, T. and Neukirch, T.: 2002, Solar Phys. 208, 233.

    Google Scholar 

  • Wiegelmann, T. and Neukirch, T.: 2003, Nonlinear Processes in Geophysics, in press.

  • Wiegelmann, T., Schindler, K., and Neukirch, T.: 1998,Solar Phys. 180, 439.

    Google Scholar 

  • Wu, S. T., Chang, H. M., and Hagyard, M. J.: 1985, in M. J. Hagyard (ed.), Measurements of Solar Magnetic Fields, NASA CP-2374, p. 17.

  • Yan, Y. and Sakurai, T.: 2000, Solar Phys. 195, 89.

    Google Scholar 

  • Zhao, X. and Hoeksema, J. T.: 1993, Solar Phys. 143, 41.

    Google Scholar 

  • Zhao, X. and Hoeksema, J. T.: 1994, Solar Phys. 151, 91.

    Google Scholar 

  • Zhao, X., Hoeksema, J. T., and Scherrer, P. H.: 2000, Astrophys. J. 538, 932.

    Google Scholar 

  • Zidowitz, S.: 1999, J. Geophys. Res. 104, 9727.

    Google Scholar 

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Wiegelmann, T., Inhester, B. Magnetic modeling and tomography: First steps towards a consistent reconstruction of the solar corona. Solar Physics 214, 287–312 (2003). https://doi.org/10.1023/A:1024282131117

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