Solar Physics

, Volume 276, Issue 1–2, pp 43–59 | Cite as

On Multi-Line Spectro-Polarimetric Diagnostics of the Quiet Sun’s Magnetic Fields

Statistics, Inversion Results and Effects on the SOHO/MDI Magnetogram Calibration
  • M. L. Demidov
  • H. BalthasarEmail author


On the long way to establish reliable physical properties of the solar atmosphere from different kinds of magnetic field measurement, significant progress has been achieved, but many important issues are still waiting for solution. This is essential for the investigation of weak magnetic fields of the quiet Sun, which usually cover most of the solar surface. Weak magnetic fields significantly contribute to the formation of the interplanetary magnetic field. The problem of reliable diagnostics of such fields hardly ever has a simple solution using only single spectral line observations. A better chance is given by multi-spectral line spectro-polarimetric observations, especially with lines having very different properties. In the present study, we use simultaneous high-precision Stokes-meter measurements of the quiet solar magnetic fields in 15 lines in the vicinity of Fe i 525.0 nm. These measurements cover the whole range of heliocentric distances. Magnetic field strength ratios of different spectral lines with respect to Fe i 525.0 nm vary between 1.07 and 2.12. This ratio depends also on the heliocentric position, moving closer to the limb it decreases and approaches values of about unity in most cases. To interpret the observations, different model approaches are compared. SIR-inversions (Stokes Inversion based on Response functions) with a two-component atmospheric model approach reproduce the basic observables much better than with one-component atmospheres. Our best fits are connected with field strengths of 1 – 2 kG and filling factors of less than five percent. To check the justification for the recent re-calibration of the data from the Michelson Doppler Imager (MDI) onboard SOHO, we carried out a numerical experiment, and we confirm our former conclusion that there is no need for such a re-calibration.


Magnetic fields Photosphere 


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  1. Asensio Ramos, A.: 2009, Astrophys. J. 701, 1032. ADSCrossRefGoogle Scholar
  2. Barthol, P., Gandorfer, A., Solanki, S.K., Schüssler, M., Chares, B., Curdt, W., Deutsch, W., Feller, A., Germerott, D., Grauf, B., Heerlein, K., Hirzberger, J., Kolleck, M., Meller, R., Müller, R., Riethmüller, T.L., Tomasch, G., Knölker, M., Lites, B.W., Card, G., Elmore, D., Fox, J., Lecinski, A., Nelson, P., Summers, R., Watt, A., MartínezPillet, V., Bonet, J.A., Schmidt, W., Berkefeld, T., Title, A.M., Domingo, V., Gasent Blesa, J.L., del Toro Iniesta, J.C., López Jiménez, A., Álvarez-Herrero, A., Sabau-Graziati, L., Widani, C., Haberler, P., Härtel, K., Kampf, D., Levin, T., Pérez Grande, I., Sanz-Andrés, A., Schmidt, E.: 2011, Solar Phys. 268, 1. ADSCrossRefGoogle Scholar
  3. Danilovic, S., Schüssler, M., Solanki, S.K.: 2010a, Astron. Astrophys. 509, A76. ADSCrossRefGoogle Scholar
  4. Danilovic, S., Schüssler, M., Solanki, S.K.: 2010b, Astron. Astrophys. 513, A1. ADSCrossRefGoogle Scholar
  5. Davis, J.C.: 1986, Statistics and Data Analysis in Geology, Wiley, New York, 636. Google Scholar
  6. del Toro Iniesta, J.C., Orozco Suárez, D., Bellot Rubio, L.R.: 2010, Astrophys. J. 711, 312. ADSCrossRefGoogle Scholar
  7. Demidov, M.L., Balthasar, H.: 2009, Solar Phys. 260, 261. ADSCrossRefGoogle Scholar
  8. Demidov, M.L., Balthasar, H.: 2011, In: Kuhn, J.R., Berdyugina, S.V., Harrington, D.M., Keil, S., Lin, H., Rimmele, T., Trujillo Bueno, J. (eds.) Solar Polarization 6 CS-437, Astron. Soc. Pac., San Francisco, 189. Google Scholar
  9. Demidov, M.L., Zhigalov, V.V., Peshcherov, V.S., Grigoryev, V.M.: 2002, Solar Phys. 209, 217. ADSCrossRefGoogle Scholar
  10. Demidov, M.L., Golubeva, E.M., Balthasar, H., Staude, J., Grigoryev, V.M.: 2008, Solar Phys. 250, 279. ADSCrossRefGoogle Scholar
  11. Domínguez Cerdeña, I., Sánchez Almeida, J., Kneer, F.: 2006, Astrophys. J. 636, 496. ADSCrossRefGoogle Scholar
  12. Gingerich, O., Noyes, R.W., Kalkofen, W., Cuny, Y.: 1971, Solar Phys. 18, 347. ADSCrossRefGoogle Scholar
  13. Grossmann-Doerth, U., Keller, C.U., Schüssler, M.: 1996, Astron. Astrophys. 315, 610. ADSGoogle Scholar
  14. Kosugi, T., Matsuzaki, K., Sakao, T., Shimizu, T., Sone, Y., Tachikawa, S., Hashimoto, T., Minesugi, K., Ohnishi, A., Yamada, T., Tsuneta, S., Hara, H., Ichimoto, K., Suematsu, Y., Shimojo, M., Watanabe, T., Shimada, S., Davis, J.M., Hill, L.D., Owens, J.K., Title, A.M., Culhane, J.L., Harra, L.K., Doschek, G.A., Golub, L.: 2007, Solar Phys. 243, 3. ADSCrossRefGoogle Scholar
  15. Lites, B.W., Kubo, M., Socas-Navarro, H., Berger, T., Frank, Z., Shine, R., Tarbell, T., Title, A., Ichimoto, K., Katsukawa, Y., Tsuneta, S., Suematsu, Y., Shimizu, T., Nagata, S.: 2008, Astrophys. J. 672, 1237. ADSCrossRefGoogle Scholar
  16. Martínez González, M.J., Collados, M., Ruiz Cobo, B.: 2006, Astrophys. J. 456, 1159. Google Scholar
  17. Martínez Pillet, V., del Toro Iniesta, J.C., Álvarez-Herrero, A., Domingo, V., Bonet, J.A., González Fernández, L., López Jiménez, A., Pastor, C., Gasent Blesa, J.L., Mellado, P., Piqueras, J., Aparicio, B., Balaguer, M., Ballesteros, E., Belenguer, T., Bellot Rubio, L.R., Berkefeld, T., Collados, M., Deutsch, W., Feller, A., Girela, F., Grauf, B., Heredero, R.L., Herranz, M., Jerónimo, J.M., Laguna, H., Meller, R., Menéndez, M., Morales, R., Orozco Suárez, D., Ramos, G., Reina, M., Ramos, J.L., Rodríguez, P., Sánchez, A., Uribe-Patarroyo, N., Barthol, P., Gandorfer, A., Knoelker, M., Schmidt, W., Solanki, S.K., Vargas Domínguez, S.: 2011, Solar Phys. 268, 57. ADSCrossRefGoogle Scholar
  18. Moore, C.E., Minnaert, M.G.J., Houtgast, J.: 1966, The Solar Spectrum 2935 Å to 8770 Å, US Dept. of Commerce, National Bureau of Standards, Monograph 61, Washington. Google Scholar
  19. Orozco Suárez, D., Bellot Rubio, L.R., del Toro Iniesta, J.C., Tsuneta, S., Lites, B.W., Ichimoto, K., Katsukawa, Y., Nagata, S., Shimizu, T., Shine, R.A., Suematsu, Y., Tarbell, T.D., Title, A.M.: 2007, Astrophys. J. Lett. 670, L61. ADSCrossRefGoogle Scholar
  20. Ruiz Cobo, B., del Toro Iniesta, J.C.: 1992, Astrophys. J. 398, 375. ADSCrossRefGoogle Scholar
  21. Socas-Navarro, H., Sánchez Almeida, J.: 2002, Astrophys. J. 565, 1323. ADSCrossRefGoogle Scholar
  22. Socas-Navarro, H., Borrero, J.M., Asensio Ramos, A., Collados, M., Domínguez Cerdeña, I., Khomenko, E.V., Martínez González, M.J., Martínez Pillet, V., Ruiz Cobo, B., Sánchez Almeida, J.: 2008, Astrophys. J. 674, 596. ADSCrossRefGoogle Scholar
  23. Solanki, S.K., Brigljevič, V.: 1992, Astron. Astrophys. 262, L29. ADSGoogle Scholar
  24. Stein, R.F., Nordlund, Å.: 2006, Astrophys. J. 642, 1246. ADSCrossRefGoogle Scholar
  25. Steiner, O., Rezaei, R., Schaffenberger, M., Wedemeyer-Böhm, S.: 2008, Astrophys. J. Lett. 680, L85. ADSCrossRefGoogle Scholar
  26. Stenflo, J.O.: 2010, Astron. Astrophys. 517, A37. ADSCrossRefGoogle Scholar
  27. Tran, T., Bertello, L., Ulrich, R.K., Evans, S.: 2005, Astrophys. J. Suppl. 156, 295. ADSCrossRefGoogle Scholar
  28. Tsuneta, S., Ichimoto, K., Katsukawa, Y., Nagata, S., Otsubo, M., Shimizu, T., Suematsu, Y., Nakagiri, M., Noguchi, M., Tarbell, T., Title, A., Shine, R., Rosenberg, W., Hoffmann, C., Jurcevich, B., Kushner, G., Levay, M., Lites, B., Elmore, D., Matsushita, T., Kawaguchi, N., Saito, H., Mikami, I., Hill, L.D., Owens, J.K.: 2008, Solar Phys. 249, 167. ADSCrossRefGoogle Scholar
  29. Ulrich, R.K., Bertello, L., Boyden, J.E., Webster, L.: 2009, Solar Phys. 255, 53. ADSCrossRefGoogle Scholar
  30. Vögler, A., Shelyag, S., Schüssler, M., Cattaneo, F., Emonet, T., Linde, T.: 2005, Astron. Astrophys. 429, 335. ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Institute of Solar-Terrestrial Physics, Siberian BranchRussian Academy of SciencesIrkutskRussia
  2. 2.Leibniz-Institut für Astrophysik Potsdam (AIP)PotsdamGermany

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