Solar Physics

, Volume 279, Issue 2, pp 323–348 | Cite as

Local Helioseismology of Sunspots: Current Status and Perspectives

  • Alexander G. KosovichevEmail author


Mechanisms of the formation and stability of sunspots are among the longest-standing and intriguing puzzles of solar physics and astrophysics. Sunspots are controlled by subsurface dynamics, hidden from direct observations. Recently, substantial progress in our understanding of the physics of the turbulent magnetized plasma in strong-field regions has been made by using numerical simulations and local helioseismology. Both the simulations and helioseismic measurements are extremely challenging, but it is becoming clear that the key to understanding the enigma of sunspots is a synergy between models and observations. Recent observations and radiative MHD numerical models have provided a convincing explanation for the Evershed flows in sunspot penumbrae. Also, they lead to the understanding of sunspots as self-organized magnetic structures in the turbulent plasma of the upper convection zone, which are maintained by a large-scale dynamics. Local helioseismic diagnostics of sunspots still have many uncertainties, some of which are discussed in this review. However, there have been significant achievements in resolving these uncertainties, verifying the basic results by new high-resolution observations, testing the helioseismic techniques by numerical simulations, and comparing results obtained by different methods. For instance, a recent analysis of helioseismology data from the Hinode space mission has successfully resolved several uncertainties and concerns (such as the inclined-field and phase-speed filtering effects) that might affect the inferences of the subsurface wave-speed structure of sunspots and the flow pattern. It is becoming clear that for the understanding of the phenomenon of sunspots it is important to further improve the helioseismology methods and investigate the whole life cycle of active regions, from magnetic flux emergence to dissipation. The Solar Dynamics Observatory mission has started to provide data for such investigations.


Sun: helioseismology Sun: sunspots Sun: oscillations 


  1. Baldner, C.S., Bogart, R.S., Basu, S., Antia, H.M.: 2009, In: Dikpati, M., Arentoft, T., González Hernández, I., Lindsey, C., Hill, F. (eds.) Solar-Stellar Dynamos as Revealed by Helio- and Asteroseismology: GONG 2008/SOHO 21, CS-416, Astron. Soc. Pac., San Francisco, 119. Google Scholar
  2. Balthasar, H., Muglach, K.: 2010, Astron. Astrophys. 511, A67. doi: 10.1051/0004-6361/200912978. ADSCrossRefGoogle Scholar
  3. Basu, S., Antia, H.M., Bogart, R.S.: 2004, Astrophys. J. 610, 1157. doi: 10.1086/421843. ADSCrossRefGoogle Scholar
  4. Birch, A.C., Kosovichev, A.G.: 2000, Solar Phys. 192, 193. ADSCrossRefGoogle Scholar
  5. Birch, A.C., Kosovichev, A.G., Duvall, T.L. Jr.: 2004, Astrophys. J. 608, 580. doi: 10.1086/386361. ADSCrossRefGoogle Scholar
  6. Birch, A.C., Kosovichev, A.G., Price, G.H., Schlottmann, R.B.: 2001, Astrophys. J. Lett. 561, L229. doi: 10.1086/324766. ADSCrossRefGoogle Scholar
  7. Birch, A.C., Braun, D.C., Hanasoge, S.M., Cameron, R.: 2009, Solar Phys. 254, 17. doi: 10.1007/s11207-008-9282-9. ADSCrossRefGoogle Scholar
  8. Bogart, R.S., Basu, S., Rabello-Soares, M.C., Antia, H.M.: 2008, Solar Phys. 251, 439. doi: 10.1007/s11207-008-9213-9. ADSCrossRefGoogle Scholar
  9. Bogdan, T.J.: 1997, Astrophys. J. 477, 475. doi: 10.1086/303680. ADSCrossRefGoogle Scholar
  10. Botha, G.J.J., Rucklidge, A.M., Hurlburt, N.E.: 2006, Mon. Not. Roy. Astron. Soc. 369, 1611. doi: 10.1111/j.1365-2966.2006.10480.x. ADSCrossRefGoogle Scholar
  11. Botha, G.J.J., Rucklidge, A.M., Hurlburt, N.E.: 2007, Astrophys. J. Lett. 662, L27. doi: 10.1086/519079. ADSCrossRefGoogle Scholar
  12. Botha, G.J.J., Busse, F.H., Hurlburt, N.E., Rucklidge, A.M.: 2008, Mon. Not. Roy. Astron. Soc. 387, 1445. doi: 10.1111/j.1365-2966.2008.13359.x. ADSCrossRefGoogle Scholar
  13. Cally, P.S.: 2009, Mon. Not. Roy. Astron. Soc. 395, 1309. doi: 10.1111/j.1365-2966.2009.14708.x. ADSCrossRefGoogle Scholar
  14. Cameron, R., Gizon, L., Schunker, H., Pietarila, A.: 2011, Solar Phys. 268, 293. doi: 10.1007/s11207-010-9631-3 ADSCrossRefGoogle Scholar
  15. Couvidat, S., Birch, A.C., Kosovichev, A.G.: 2006, Astrophys. J. 640, 516. doi: 10.1086/500103. ADSCrossRefGoogle Scholar
  16. Couvidat, S., Birch, A.C., Kosovichev, A.G., Zhao, J.: 2004, Astrophys. J. 607, 554. doi: 10.1086/383342. ADSCrossRefGoogle Scholar
  17. Couvidat, S., Birch, A.C., Rajaguru, S.P., Kosovichev, A.G.: 2006, In: Bothmer, V., Hady, A.A. (eds.) Solar Activity and its Magnetic Origin, IAU Symposium 233, 75, Cambridge Univ. Press, Cambridge. doi: 10.1017/S1743921306001499. Google Scholar
  18. Couvidat, S., Zhao, J., Birch, A.C., Kosovichev, A.G., Duvall, T.L. Jr., Parchevsky, K.V., Scherrer, P.H.: 2012, Solar Phys. 275, 357. doi: 10.1007/s11207-010-9652-y. ADSCrossRefGoogle Scholar
  19. Cowling, T.G.: 1946, Mon. Not. Roy. Astron. Soc. 106, 218. ADSGoogle Scholar
  20. Duvall, T.L. Jr., Jefferies, S.M., Harvey, J.W., Pomerantz, M.A.: 1993, Nature 362, 430. doi: 10.1038/362430a0. ADSCrossRefGoogle Scholar
  21. Duvall, T.L. Jr., Kosovichev, A.G., Scherrer, P.H., Bogart, R.S., Bush, R.I., de Forest, C., Hoeksema, J.T., Schou, J., Saba, J.L.R., Tarbell, T.D., Title, A.M., Wolfson, C.J., Milford, P.N.: 1997, Solar Phys. 170, 63. ADSCrossRefGoogle Scholar
  22. Duvall, T.L., D’Silva, S., Jefferies, S.M., Harvey, J.W., Schou, J.: 1996, Nature 379, 235. doi: 10.1038/379235a0. ADSCrossRefGoogle Scholar
  23. Evershed, J.: 1909, Mon. Not. Roy. Astron. Soc. 69, 454. ADSGoogle Scholar
  24. Gizon, L., Birch, A.C.: 2002, Astrophys. J. 571, 966. doi: 10.1086/340015. ADSCrossRefGoogle Scholar
  25. Gizon, L., Birch, A.C.: 2004, Astrophys. J. 614, 472. doi: 10.1086/423367. ADSCrossRefGoogle Scholar
  26. Gizon, L., Duvall, T.L. Jr., Larsen, R.M.: 2001a, In: Brekke, P., Fleck, B., Gurman, J.B. (eds.) Recent Insights into the Physics of the Sun and Heliosphere: Highlights from SOHO and Other Space Missions, IAU Symposium 203, Cambridge Univ. Press, Cambridge, 189. Google Scholar
  27. Gizon, L., Birch, A.C., Bush, R.I., Duvall, T.L. Jr., Kosovichev, A.G., Scherrer, P.H., Zhao, J.: 2001b, In: Battrick, B., Sawaya-Lacoste, H., Marsch, E., Martinez Pillet, V., Fleck, B., Marsden, R. (eds.) Solar Encounter. Proc. First Solar Orbiter Workshop, SP-493, ESA, Noordwijk, 227. Google Scholar
  28. Gizon, L., Schunker, H., Baldner, C.S., Basu, S., Birch, A.C., Bogart, R.S., Braun, D.C., Cameron, R., Duvall, T.L., Hanasoge, S.M., Jackiewicz, J., Roth, M., Stahn, T., Thompson, M.J., Zharkov, S.: 2009, Space Sci. Rev. 144, 249. doi: 10.1007/s11214-008-9466-5. ADSCrossRefGoogle Scholar
  29. Gough, D.O., Toomre, J.: 1983, Solar Phys. 82, 401. ADSCrossRefGoogle Scholar
  30. Haber, D.A., Hindman, B.W., Toomre, J., Bogart, R.S., Thompson, M.J., Hill, F.: 2000, Solar Phys. 192, 335. ADSCrossRefGoogle Scholar
  31. Haber, D.A., Hindman, B.W., Toomre, J., Bogart, R.S., Larsen, R.M., Hill, F.: 2002, Astrophys. J. 570, 855. doi: 10.1086/339631. ADSCrossRefGoogle Scholar
  32. Haber, D.A., Hindman, B.W., Toomre, J., Thompson, M.J.: 2004, Solar Phys. 220, 371. doi: 10.1023/B:SOLA.0000031405.52911.08. ADSCrossRefGoogle Scholar
  33. Hanasoge, S.M., Couvidat, S., Rajaguru, S.P., Birch, A.C.: 2008, Mon. Not. Roy. Astron. Soc. 391, 1931. doi: 10.1111/j.1365-2966.2008.14013.x. ADSCrossRefGoogle Scholar
  34. Hartlep, T., Busse, F.H., Hulburt, N.E., Kosovichev, A.G.: 2012, Mon. Not. Roy. Astron. Soc. 419, 2325. doi: 10.1111/j.1365-2966.2011.19877.x. ADSCrossRefGoogle Scholar
  35. Harvey, K., Harvey, J.: 1973, Solar Phys. 28, 61. doi: 10.1007/BF00152912. ADSCrossRefGoogle Scholar
  36. Heinemann, T., Nordlund, Å., Scharmer, G.B., Spruit, H.C.: 2007, Astrophys. J. 669, 1390. doi: 10.1086/520827. ADSCrossRefGoogle Scholar
  37. Hill, F.: 1988, Astrophys. J. 333, 996. doi: 10.1086/166807. ADSCrossRefGoogle Scholar
  38. Hindman, B.W., Haber, D.A., Toomre, J.: 2006, Astrophys. J. 653, 725. doi: 10.1086/508603. ADSCrossRefGoogle Scholar
  39. Hindman, B.W., Haber, D.A., Toomre, J.: 2009, Astrophys. J. 698, 1749. doi: 10.1088/0004-637X/698/2/1749. ADSCrossRefGoogle Scholar
  40. Hindman, B.W., Zhao, J., Haber, D.A., Kosovichev, A.G., Toomre, J.: 2003, Bull. Am. Astron. Soc. 35, 822. ADSGoogle Scholar
  41. Hindman, B.W., Gizon, L., Duvall, T.L. Jr., Haber, D.A., Toomre, J.: 2004, Astrophys. J. 613, 1253. doi: 10.1086/423263. ADSCrossRefGoogle Scholar
  42. Howe, R.: 2008, Adv. Space Res. 41, 846. doi: 10.1016/j.asr.2006.12.033. ADSCrossRefGoogle Scholar
  43. Hurlburt, N., De Rosa, M.: 2008, Astrophys. J. Lett. 684, L123. doi: 10.1086/591736. ADSCrossRefGoogle Scholar
  44. Hurlburt, N.E., Rucklidge, A.M.: 2000, Mon. Not. Roy. Astron. Soc. 314, 793. doi: 10.1046/j.1365-8711.2000.03407.x. ADSCrossRefGoogle Scholar
  45. Jackiewicz, J.: 2009, In: Guzik, J.A., Bradley, P.A. (eds.) Stellar Pulsation: Challenges for Theory and Observation. Am. Inst. Phys. CS-1170, 574. doi: 10.1063/1.3246565. Google Scholar
  46. Jahn, K.: 1992, In: Thomas, J.H., Weiss, N.O. (eds.) Sunspots. Theory and Observations, Proc. NATO Adv. Res. Workshop, Cambridge, UK, Kluwer Academic, Dordrecht, 139. Google Scholar
  47. Jensen, J.M., Duvall, T.L. Jr., Jacobsen, B.H., Christensen-Dalsgaard, J.: 2001, Astrophys. J. Lett. 553, L193. doi: 10.1086/320677. ADSCrossRefGoogle Scholar
  48. Khomenko, E., Collados, M.: 2008, Astrophys. J. 689, 1379. doi: 10.1086/592681. ADSCrossRefGoogle Scholar
  49. Khomenko, E., Kosovichev, A., Collados, M., Parchevsky, K., Olshevsky, V.: 2009, Astrophys. J. 694, 411. doi: 10.1088/0004-637X/694/1/411. ADSCrossRefGoogle Scholar
  50. Kitiashvili, I.N., Kosovichev, A.G., Wray, A.A., Mansour, N.N.: 2009, Astrophys. J. Lett. 700, L178. doi: 10.1088/0004-637X/700/2/L178. ADSCrossRefGoogle Scholar
  51. Kitiashvili, I.N., Kosovichev, A.G., Wray, A.A., Mansour, N.N.: 2010a, Astrophys. J. Lett. 719, L307. doi: 10.1088/0004-637X/719/1/307. ADSCrossRefGoogle Scholar
  52. Kitiashvili, I.N., Bellot Rubio, L.R., Kosovichev, A.G., Mansour, N.N., Sainz Dalda, A., Wray, A.A.: 2010b, Astrophys. J. Lett. 716, L181. doi: 10.1088/2041-8205/716/2/L181. ADSCrossRefGoogle Scholar
  53. Komm, R., Howe, R., Hill, F.: 2009a, Solar Phys. 258, 13. doi: 10.1007/s11207-009-9398-6. ADSCrossRefGoogle Scholar
  54. Komm, R., Howe, R., Hill, F.: 2009b, In: Dikpati, M., Arentoft, T., González Hernández, I., Lindsey, C., Hill, F. (eds.) Solar-Stellar Dynamos as Revealed by Helio- and Asteroseismology: GONG 2008/SOHO 21, CS-416, Astron. Soc. Pacific, San Francisco, 115. Google Scholar
  55. Komm, R., Howe, R., Hill, F., Miesch, M., Haber, D., Hindman, B.: 2007, Astrophys. J. 667, 571. doi: 10.1086/520765. ADSCrossRefGoogle Scholar
  56. Komm, R., Morita, S., Howe, R., Hill, F.: 2008, Astrophys. J. 672, 1254. doi: 10.1086/523998. ADSCrossRefGoogle Scholar
  57. Kosovichev, A.G.: 1996, Astrophys. J. Lett. 461, L55. doi: 10.1086/309989. ADSCrossRefGoogle Scholar
  58. Kosovichev, A.G.: 2003, In: Thompson, M.J., Christensen-Dalsgaard, J. (eds.) Stellar Astrophysical Fluid Dynamics, Cambridge Univ. Press, Cambridge, 279. CrossRefGoogle Scholar
  59. Kosovichev, A.G.: 2006, Solar Phys. 238, 1. doi: 10.1007/s11207-006-0190-6. ADSCrossRefGoogle Scholar
  60. Kosovichev, A.G.: 2009, Space Sci. Rev. 144, 175. doi: 10.1007/s11214-009-9487-8. ADSCrossRefGoogle Scholar
  61. Kosovichev, A.G., Duvall, T.L. Jr.: 1997, In: Pijpers, F.P., Christensen-Dalsgaard, J., Rosenthal, C.S. (eds.) SCORe’96: Solar Convection and Oscillations and their Relationship, Astrophys. Space Science Lib 225, Kluwer Academic, Dordrecht, 241. CrossRefGoogle Scholar
  62. Kosovichev, A.G., Duvall, T.L.: 2006, Space Sci. Rev. 124, 1. doi: 10.1007/s11214-006-9112-z. ADSCrossRefGoogle Scholar
  63. Kosovichev, A.G., Duvall, T.L. Jr., Scherrer, P.H.: 2000, Solar Phys. 192, 159. ADSCrossRefGoogle Scholar
  64. Kosovichev, A.G., Zhao, J., Sekii, T., Nagashima, K., Mitra-Kraev, U.: 2009, In: Dikpati, M., Arentoft, T., González Hernández, I., Lindsey, C., Hill, F. (eds.) Solar-Stellar Dynamos as Revealed by Helio- and Asteroseismology: GONG 2008/SOHO 21, CS-416, Astron. Soc. Pacific, San Francisco, 41. Google Scholar
  65. Kosovichev, A.G., Basu, S., Bogart, R., Duvall, T.L. Jr., Gonzalez-Hernandez, I., Haber, D., Hartlep, T., Howe, R., Komm, R., Kholikov, S., Parchevsky, K.V., Tripathy, S., Zhao, J.: 2011, In: Proc. GONG 2010 – SoHO 24: A New Era of Seismology of the Sun and Solar-like Stars, J. Phys. CS-271, 012005. arXiv:1011.0799.
  66. 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. doi: 10.1007/s11207-007-9014-6. ADSCrossRefGoogle Scholar
  67. Maltby, P., Avrett, E.H., Carlsson, M., Kjeldseth-Moe, O., Kurucz, R.L., Loeser, R.: 1986, Astrophys. J. 306, 284. doi: 10.1086/164342. ADSCrossRefGoogle Scholar
  68. Martínez Pillet, V., Katsukawa, Y., Puschmann, K.G., Ruiz Cobo, B.: 2009, Astrophys. J. Lett. 701, L79. doi: 10.1088/0004-637X/701/2/L79. ADSCrossRefGoogle Scholar
  69. Meyer, F., Schmidt, H.U., Weiss, N.O.: 1977, Mon. Not. Roy. Astron. Soc. 179, 741. ADSGoogle Scholar
  70. Moradi, H., Baldner, C., Birch, A.C., Braun, D.C., Cameron, R.H., Duvall, T.L., Gizon, L., Haber, D., Hanasoge, S.M., Hindman, B.W., Jackiewicz, J., Khomenko, E., Komm, R., Rajaguru, P., Rempel, M., Roth, M., Schlichenmaier, R., Schunker, H., Spruit, H.C., Strassmeier, K.G., Thompson, M.J., Zharkov, S.: 2010, Solar Phys. 267, 1. ADSCrossRefGoogle Scholar
  71. Moreno-Insertis, F., Spruit, H.C.: 1989, Astrophys. J. 342, 1158. doi: 10.1086/167673. ADSCrossRefGoogle Scholar
  72. Nigam, R., Kosovichev, A.G.: 2010, Astrophys. J. 708, 1475. doi: 10.1088/0004-637X/708/2/1475. ADSCrossRefGoogle Scholar
  73. Olshevsky, V., Khomenko, E., Collados, M.: 2008, In: 12th European Sol. Phys. Meeting, 3.2. Google Scholar
  74. Parchevsky, K.V., Kosovichev, A.G.: 2009, Astrophys. J. 694, 573. doi: 10.1088/0004-637X/694/1/573. ADSCrossRefGoogle Scholar
  75. Parchevsky, K.V., Zhao, J., Kosovichev, A.G.: 2008, Astrophys. J. 678, 1498. doi: 10.1086/533495. ADSCrossRefGoogle Scholar
  76. Parchevsky, K., Kosovichev, A., Khomenko, E., Olshevsky, V., Collados, M.: 2010, arXiv:1002.1117.
  77. Parker, E.N.: 1979, Astrophys. J. 230, 905. doi: 10.1086/157150. ADSCrossRefGoogle Scholar
  78. Ponomarenko, Y.B.: 1972, Soviet Astron. 16, 116. ADSGoogle Scholar
  79. Rajaguru, S.P., Birch, A.C., Duvall, T.L. Jr., Thompson, M.J., Zhao, J.: 2006, Astrophys. J. 646, 543. doi: 10.1086/504705. ADSCrossRefGoogle Scholar
  80. Rajaguru, S.P., Sankarasubramanian, K., Wachter, R., Scherrer, P.H.: 2007, Astrophys. J. Lett. 654, L175. doi: 10.1086/511266. ADSCrossRefGoogle Scholar
  81. Rempel, M., Schüssler, M., Cameron, R.H., Knölker, M.: 2009, Science 325, 171. doi: 10.1126/science.1173798. ADSCrossRefGoogle Scholar
  82. Sainz Dalda, A., Bellot Rubio, L.R.: 2008, Astron. Astrophys. 481, L21. doi: 10.1051/0004-6361:20079115. ADSCrossRefGoogle Scholar
  83. Sainz Dalda, A., Martínez Pillet, V.: 2005, Astrophys. J. 632, 1176. doi: 10.1086/433168. ADSCrossRefGoogle Scholar
  84. Sankarasubramanian, K., Rimmele, T.: 2003, Astrophys. J. 598, 689. doi: 10.1086/378883. ADSCrossRefGoogle Scholar
  85. Scharmer, G.B.: 2009, Space Sci. Rev. 144, 229. doi: 10.1007/s11214-008-9483-4. ADSCrossRefGoogle Scholar
  86. Scharmer, G.B., Nordlund, Å., Heinemann, T.: 2008, Astrophys. J. Lett. 677, L149. doi: 10.1086/587982. ADSCrossRefGoogle Scholar
  87. Schmidt, H.U.: 1968, In: Kiepenheuer, K.O. (ed.) Structure and Development of Solar Active Regions, IAU Symposium 35, D. Reidel, Dordrecht, 95. CrossRefGoogle Scholar
  88. Schunker, H., Braun, D.C., Cally, P.S.: 2007, Astron. Nachr. 328, 292. doi: 10.1002/asna.200610732. ADSCrossRefGoogle Scholar
  89. Schunker, H., Braun, D.C., Cally, P.S., Lindsey, C.: 2005, Astrophys. J. Lett. 621, L149. doi: 10.1086/429290. ADSCrossRefGoogle Scholar
  90. Sheeley, N.R. Jr.: 1969, Solar Phys. 9, 347. doi: 10.1007/BF02391657. ADSCrossRefGoogle Scholar
  91. Sheeley, N.R. Jr.: 1972, Solar Phys. 25, 98. doi: 10.1007/BF00155747. ADSCrossRefGoogle Scholar
  92. Shelyag, S., Zharkov, S., Fedun, V., Erdélyi, R., Thompson, M.J.: 2009a, Astron. Astrophys. 501, 735. doi: 10.1051/0004-6361/200911709. ADSCrossRefGoogle Scholar
  93. Shelyag, S., Zharkov, S., Fedun, V., Erdélyi, R., Thompson, M.J.: 2009b, In: Dikpati, M., Arentoft, T., González Hernández, I., Lindsey, C., Hill, F. (eds.) Solar-Stellar Dynamos as Revealed by Helio- and Asteroseismology: GONG 2008/SOHO 21, CS-416, Astron. Soc. Pacific, San Francisco, 167. Google Scholar
  94. Sobotka, M., Roudier, T.: 2007, Astron. Astrophys. 472, 277. doi: 10.1051/0004-6361:20077552. ADSCrossRefGoogle Scholar
  95. Stein, R.F., Bercik, D., Nordlund, Å.: 2003, In: Pevtsov, A.A., Uitenbroek, H. (eds.) Current Theoretical Models and Future High Resolution Solar Observations: Preparing for ATST, CS-286, Astron. Soc. Pacific, San Francisco, 121. Google Scholar
  96. Sun, M., Chou, D., The TON Team: 2002, Solar Phys. 209, 5. doi: 10.1023/A:1020909524039. ADSCrossRefGoogle Scholar
  97. 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. doi: 10.1007/s11207-008-9174-z. ADSCrossRefGoogle Scholar
  98. Vargas Domínguez, S., Bonet, J.A., Martínez Pillet, V., Katsukawa, Y., Kitakoshi, Y., Rouppe van der Voort, L.: 2007, Astrophys. J. Lett. 660, L165. doi: 10.1086/518123. ADSCrossRefGoogle Scholar
  99. Vargas Domínguez, S., Rouppe van der Voort, L., Bonet, J.A., Martínez Pillet, V., Van Noort, M., Katsukawa, Y.: 2008, Astrophys. J. 679, 900. doi: 10.1086/587139. ADSCrossRefGoogle Scholar
  100. Vargas Dominguez, S., de Vicente, A., Bonet, J.A., Martinez Pillet, V.: 2010, Astron. Astrophys. 516, A91. ADSCrossRefGoogle Scholar
  101. Vögler, A., Shelyag, S., Schüssler, M., Cattaneo, F., Emonet, T., Linde, T.: 2005, Astron. Astrophys. 429, 335. doi: 10.1051/0004-6361:20041507. ADSCrossRefGoogle Scholar
  102. Wachter, R., Rajaguru, S.P., Bogart, R.S.: 2006a, In: Fletcher, K., Thompson, M. (eds.) Proc. SOHO 18/GONG 2006/HELAS I, Beyond the Spherical Sun, SP-624, ESA, Noordwijk, 48.1. Google Scholar
  103. Wachter, R., Schou, J., Sankarasubramanian, K.: 2006b, Astrophys. J. 648, 1256. doi: 10.1086/505930. ADSCrossRefGoogle Scholar
  104. Zhao, J., Kosovichev, A.G.: 2003a, Astrophys. J. 591, 446. doi: 10.1086/375343. ADSCrossRefGoogle Scholar
  105. Zhao, J., Kosovichev, A.G.: 2003b, In: Sawaya-Lacoste, H. (ed.) GONG+ 2002. Local and Global Helioseismology: the Present and Future, SP-517, ESA, Noordwijk, 417. Google Scholar
  106. Zhao, J., Kosovichev, A.G.: 2006, Astrophys. J. 643, 1317. doi: 10.1086/503248. ADSCrossRefGoogle Scholar
  107. Zhao, J., Kosovichev, A.G., Duvall, T.L. Jr.: 2001, Astrophys. J. 557, 384. doi: 10.1086/321491. ADSCrossRefGoogle Scholar
  108. Zhao, J., Kosovichev, A.G., Ilonidis, S.: 2010a, Solar Phys. 268, 429. doi: 10.1007/s11207-010-9682-5. ADSCrossRefGoogle Scholar
  109. Zhao, J., Kosovichev, A.G., Sekii, T.: 2010b, Astrophys. J. 708, 304. doi: 10.1088/0004-637X/708/1/304. ADSCrossRefGoogle Scholar
  110. Zharkov, S., Nicholas, C.J., Thompson, M.J.: 2007, Astron. Nachr. 328, 240. doi: 10.1002/asna.200610744. ADSCrossRefGoogle Scholar
  111. Zuccarello, F., Romano, P., Guglielmino, S.L., Centrone, M., Criscuoli, S., Ermolli, I., Berrilli, F., Del Moro, D.: 2009, Astron. Astrophys. 500, L5. doi: 10.1051/0004-6361/200912277. ADSCrossRefGoogle Scholar

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© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.W.W. Hansen Experimental Physics LaboratoryStanford UniversityStanfordUSA

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