Abstract
The propagation of solar waves through the sunspot of AR 9787 is observed by using temporal cross-correlations of SOHO/MDI Dopplergrams. We then use three-dimensional MHD numerical simulations to compute the propagation of wave packets through self-similar magnetohydrostatic sunspot models. The simulations are set up in such a way as to allow a comparison with observed cross-covariances (except in the immediate vicinity of the sunspot). We find that the simulation and the f-mode observations are in good agreement when the model sunspot has a peak field strength of 3 kG at the photosphere and less so for lower field strengths. Constraining the sunspot model with helioseismology is only possible because the direct effect of the magnetic field on the waves has been fully taken into account. Our work shows that the full-waveform modeling of sunspots is feasible.
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Birch, A., Kosovichev, A.G., Price, G.H., Schlottmann, R.B.: 2001, Astrophys. J. 561, L229.
Bogdan, T.J., Cally, P.S.: 1997, Proc. Roy. Soc. London, Ser. A 453, 919.
Bogdan, T.J., Hindman, B.W., Cally, P.S., Charbonneau, P.: 1996, Astrophys. J. 465, 406.
Braun, D.C.: 1995, Astrophys. J. 451, 859.
Braun, D.C., Duvall, T.L. Jr., LaBonte, B.J.: 1987, Astrophys. J. 319, L27.
Cally, P.: 2000, Solar Phys. 192, 395.
Cally, P.: 2007, Astron. Nachr. 328, 286.
Cally, P., Bogdan, T.: 1993, Astrophys. J. 402, 721.
Cally, P., Bogdan, T.: 1997, Astrophys. J. 486, L67.
Cally, P., Goossens, M.: 2008, Solar Phys. DOI: 10.1007/s11207-007-9086-3.
Cally, P., Bogdan, T., Zweibel, E.G.: 1994, Astrophys. J. 437, 505.
Cally, P., Crouch, A., Braun, D.C.: 2003, Mon. Not. Roy. Astron. Soc. 346, 381.
Cameron, R., Gizon, L., Daiffallah, K.: 2007, Astron. Nachr. 328, 313.
Campillo, M., Paul, A.: 2003, Science 299, 547.
Colin de Verdière, Y.: 2006, http://fr.arxiv.org/abs/math-ph/0610043/.
Christensen-Dalsgaard, J., Däppen, W., Ajukov, S.V., Anderson, E.R., Antia, H.M., Basu, S., Baturin, V.A., Berthomieu, G., Chaboyer, B., Chitre, S.M., Cox, A.N., Demarque, P., Donatowicz, J., Dziembowski, W.A., Gabriel, M., Gough, D.O., Guenther, D.B., Guzik, J.A., Harvey, J.W., Hill, F., Houdek, G., Iglesias, C.A., Kosovichev, A.G., Leibacher, J.W., Morel, P., Proffitt, C.R., Provost, J., Reiter, J., Rhodes, E.J. Jr., Rogers, F.J., Roxburgh, I.W., Thompson, M.J., Ulrich, R.K.: 1996, Science 272, 1286.
Couvidat, S., Birch, A.C., Kosovichev, A.G.: 2006, Astrophys. J. 640, 516.
Crouch, A.D., Cally, P.S., Charbonneau, P., Braun, D.C., Desjardins, M.: 2005, Mon. Not. Roy. Astron. Soc. 363, 1188.
Deinzer, W.: 1965, Astrophys. J. 141, 548.
Duvall, T.L. Jr., Kosovichev, A.G., Murawski, K.: 1998, Astrophys. J. 505, L55.
Duvall, T.L. Jr., Jefferies, S.M., Harvey, J.W., Pomerantz, M.A.: 1993, Nature 362, 430.
Gizon, L., Birch, A.C.: 2002, Astrophys. J. 571, 966.
Gouédard, P., Stehly, L., Brenguier, F., Campillo, M., Colin de Verdière, Y., Larose, E., Margerin, L., Roux, Ph., Sánchez-Sesma, F.J., Shapiro, N., Weaver, R.: 2008, Geophys. Prospect. accepted.
Hanasoge, S.M., Duvall, T.L. Jr.: 2007, Astron. Nachr. 328, 319.
Hanasoge, S.M., Duvall, T.L. Jr., Couvidat, S.: 2007, Astrophys. J. 664, 1243.
Hanasoge, S.M., Larsen, R.M., Duvall, T.L. Jr., DeRosa, M.L., Hurlburt, N.E., Schou, J., Roth, M., Christensen-Dalsgaard, J., Lele, S.K.: 2006, Astrophys. J. 648, 1268.
Hindman, B.W., Zweibel, E.G., Cally, P.: 1996, Astrophys. J. 459, 760.
Khomenko, E., Collados, M.: 2006, Astrophys. J. 653, 739.
Kosovichev, A.G., Duvall, T.L. Jr., Scherrer, P.H.: 2000, Solar Phys. 192, 159.
Lindsey, C., Braun, D.C.: 1997, Astrophys. J. 485, 895.
Parker, E.: 1979, Astrophys. J. 230, 905.
Rosenthal, C.S., Julien, K.A.: 2000, Astrophys. J. 532, 1230.
Schüssler, M., Rempel, M.: 2005, Astron. Astrophys. 441, 337.
Schlüter, A., Temesvary, S.: 1958. In: Lehnert, B. (ed.) Electromagnetic Phenomena in Cosmical Physics, IAU Symp. 6, Cambridge University Press, Cambridge, 263.
Schunker, H., Cally, P.S.: 2006, Mon. Not. Roy. Astron. Soc. 372, 551.
Solanki, S.: 2003, Astron. Astrophys. Rev. 11, 153.
Spruit, H.C.: 1991. In: Toomre, J., Gough, D.O. (eds.) Challenges to Theories of the Structure of Moderate Mass Stars, Lecture Notes in Physics 388, Springer, Berlin, 121.
Spruit, H.C., Bogdan, T.: 1992, Astrophys. J. 391, L109.
Zhao, J., Kosovichev, A.G., Duvall, T.L. Jr.: 2001, Astrophys. J. 557, 384.
Zhao, J., Georgobiani, D., Kosovichev, A.G., Benson, D., Stein, R.F., Nordlund, Å.: 2007, Astrophys. J. 659, 848
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Helioseismology, Asteroseismology, and MHD Connections
Guest Editors: Laurent Gizon and Paul Cally.
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Cameron, R., Gizon, L. & Jr. Duvall, T.L. Helioseismology of Sunspots: Confronting Observations with Three-Dimensional MHD Simulations of Wave Propagation. Sol Phys 251, 291–308 (2008). https://doi.org/10.1007/s11207-008-9148-1
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DOI: https://doi.org/10.1007/s11207-008-9148-1