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Inversion of Physical Parameters in Solar Atmospheric Seismology

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Part of the book series: Astrophysics and Space Science Proceedings ((ASSSP,volume 33))

Abstract

Magnetohydrodynamic (MHD) wave activity is ubiquitous in the solar atmosphere. MHD seismology aims to determine difficult to measure physical parameters in solar atmospheric magnetic and plasma structures by a combination of observed and theoretical properties of MHD waves and oscillations. This technique, similar to seismology or helio-seismology, demands the solution of two problems. The direct problem involves the computation of wave properties of given theoretical models. The inverse problem implies the calculation of unknown physical parameters, by means of a comparison of observed and theoretical wave properties. Solar atmospheric seismology has been successfully applied to different structures such as coronal loops, prominence plasmas, spicules, or jets. However, it is still in its infancy. Far more is there to come. We present an overview of recent results, with particular emphasis in the inversion procedure.

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References

  1. Andries, J., Arregui, I., Goossens, M.: Determination of the Coronal Density Stratification from the Observation of Harmonic Coronal Loop Oscillations. Astrophys. J. Lett.  624, L57–L60 (2005)

    Google Scholar 

  2. Andries, J., Goossens, M., Hollweg, J. V., Arregui, I., Van Doorsselaere, T.: Coronal loop oscillations: Calculation of resonantly damped MHD quasi-mode kink oscillations of longitudinally stratified loops. Astron. Astrophys.  430, 1109–1118 (2005)

    Google Scholar 

  3. Andries, J., van Doorsselaere, T., Roberts, B., Verth, G., Verwichte, E., Erdélyi, R.: Coronal Seismology by Means of Kink Oscillation Overtones. Space Sci. Rev.  149, 3–29 (2009). DOI 10. 1007/s11214-009-9561-2

    Google Scholar 

  4. Arregui, I., Andries, J., Van Doorsselaere, T., Goossens, M., Poedts, S.: MHD seismology of coronal loops using the period and damping of quasi-mode kink oscillations. Astron. Astrophys.  463, 333–338 (2007). DOI 10.1051/0004-6361:20065863

    Google Scholar 

  5. Arregui, I., Soler, R., Ballester, J.L., Wright, A. N.: Magnetohydrodynamic kink waves in two-dimensional non-uniform prominence threads. Astron. Astrophys.  533, A60 (2011). DOI 10.1051/0004-6361/201117477

    Google Scholar 

  6. Arregui, I., Terradas, J., Oliver, R., Ballester, J. L.: Damping of Fast Magnetohydrodynamic Oscillations in Quiescent Filament Threads. Astrophys. J. Lett.  682, L141–L144 (2008). DOI 10.1086/591081

    Google Scholar 

  7. Aschwanden, M. J., Fletcher, L., Schrijver, C. J., Alexander, D.: Coronal Loop Oscillations Observed with the Transition Region and Coronal Explorer. Astrophys. J.  520, 880 (1999)

    Google Scholar 

  8. Aschwanden, M. J., Nightingale, R. W., Andries, J., Goossens, M., Van Doorsselaere, T.: Observational Tests of Damping by Resonant Absorption in Coronal Loop Oscillations. Astrophys. J.  598, 1375 (2003)

    Google Scholar 

  9. Díaz, A. J., Oliver, R., Ballester, J. L.: Prominence Thread Seismology Using the P 1/2P 2 Ratio. Astrophys. J.  725, 1742–1748 (2010). DOI 10.1088/0004-637X/ 725/2/1742

    Google Scholar 

  10. Erdélyi, R., Verth, G.: The effect of density stratification on the amplitude profile of transversal coronal loop oscillations. Astron. Astrophys.  462, 743–751 (2007). DOI 10.1051/0004-6361:20065693

    Google Scholar 

  11. Goossens, M.: Seismology of kink oscillations in coronal loops: Two decades of resonant damping. In: R. Erdélyi & C. A. Mendoza-Briceño (ed.) IAU Symposium, IAU Symposium, vol. 247, pp. 228–242 (2008). DOI 10.1017/S1743921308014920

    Google Scholar 

  12. Goossens, M., Andries, J., Arregui, I.: Damping of magnetohydrodynamic waves by resonant absorption in the solar atmosphere. Royal Society of London Philosophical Transactions Series A  364, 433–446 (2006). DOI 10.1098/rsta.2005.1708

    Google Scholar 

  13. Goossens, M., Andries, J., Aschwanden, M. J.: Coronal loop oscillations. An interpretation in terms of resonant absorption of quasi-mode kink oscillations. Astron. Astrophys.  394, L39 (2002)

    Google Scholar 

  14. Goossens, M., Arregui, I., Ballester, J. L., Wang, T. J.: Analytic approximate seismology of transversely oscillating coronal loops. Astron. Astrophys.  484, 851–857 (2008). DOI 10.1051/0004-6361:200809728

    Google Scholar 

  15. Lin, Y., Engvold, O., Rouppe van der Voort, L. H. M., van Noort, M.: Evidence of Traveling Waves in Filament Threads. Solar Phys.  246, 65–72 (2007). DOI 10.1007/s11207-007-0402-8

    Google Scholar 

  16. Lin, Y., Soler, R., Engvold, O., Ballester, J. L., Langangen, Ø., Oliver, R., Rouppe van der Voort, L. H. M.: Swaying Threads of a Solar Filament. Astrophys. J.  704, 870–876 (2009). DOI 10.1088/0004-637X/ 704/1/870

    Google Scholar 

  17. Nakariakov, V. M., Ofman, L.: Determination of the coronal magnetic field by coronal loop oscillations. Astron. Astrophys.  372, L53 (2001)

    Google Scholar 

  18. Nakariakov, V. M., Ofman, L., DeLuca, E. E., Roberts, B., Davila, J. M.: Trace observations of damped coronal loop oscillations: implications for coronal heating. Science  285, 862 (1999)

    Google Scholar 

  19. Okamoto, T. J., Tsuneta, S., Berger, T. E., Ichimoto, K., Katsukawa, Y., Lites, B. W., Nagata, S., Shibata, K., Shimizu, T., Shine, R. A., Suematsu, Y., Tarbell, T. D., Title, A. M.: Coronal Transverse Magnetohydrodynamic Waves in a Solar Prominence. Science  318, 1577– (2007). DOI 10.1126/science.1145447

    Google Scholar 

  20. Roberts, B., Edwin, P. M., Benz, A. O.: On coronal oscillations. Astrophys. J.  279, 857 (1984)

    Google Scholar 

  21. Roberts, B., Joarder, P. S.: Oscillations in quiescent prominences. In: G. Belvedere, M. Rodono, & G. M. Simnett (ed.) Advances in Solar Physics, Lecture Notes in Physics, Berlin Springer Verlag, vol. 432, pp. 173–178 (1994)

    Google Scholar 

  22. Ruderman, M. S., Roberts, B.: The Damping of Coronal Loop Oscillations. Astrophys. J.  577, 475–486 (2002). DOI 10.1086/342130

    Google Scholar 

  23. Soler, R., Arregui, I., Oliver, R., Ballester, J. L.: Seismology of Standing Kink Oscillations of Solar Prominence Fine Structures. Astrophys. J.  722, 1778–1792 (2010). DOI 10.1088/0004-637X/722/2/1778

    Google Scholar 

  24. Tandberg-Hanssen, E.: The nature of solar prominences. Dordrecht ; Boston : Kluwer, c1995. (1995)

    Google Scholar 

  25. Terradas, J., Arregui, I., Oliver, R., Ballester, J. L.: Transverse Oscillations of Flowing Prominence Threads Observed with Hinode. Astrophys. J. Lett.  678, L153–L156 (2008). DOI 10.1086/588728

    Google Scholar 

  26. Terradas, J., Arregui, I., Verth, G., Goossens, M.: Seismology of Transversely Oscillating Coronal Loops with Siphon Flows. Astrophys. J. Lett.  729, L22 (2011). DOI 10.1088/2041-8205/729/2/L22

    Google Scholar 

  27. Uchida, Y.: Diagnosis of Coronal Magnetic Structure by Flare-Associated Hydromagnetic Disturbances. PASJ  22, 341 (1970)

    Google Scholar 

  28. Van Doorsselaere, T., Andries, J., Poedts, S., Goossens, M.: Damping of Coronal Loop Oscillations: Calculation of Resonantly Damped Kink Oscillations of One-dimensional Nonuniform Loops. Astrophys. J.  606, 1223 (2004)

    Google Scholar 

  29. Van Doorsselaere, T., Nakariakov, V. M., Verwichte, E.: Coronal loop seismology using multiple transverse loop oscillation harmonics. Astron. Astrophys.  473, 959–966 (2007). DOI 10.1051/0004-6361:20077783

    Google Scholar 

  30. Van Doorsselaere, T., Nakariakov, V. M., Young, P. R., Verwichte, E.: Coronal magnetic field measurement using loop oscillations observed by Hinode/EIS. Astron. Astrophys.  487, L17–L20 (2008). DOI 10.1051/ 0004-6361:200810186

    Google Scholar 

  31. Verth, G., Erdélyi, R.: Effect of longitudinal magnetic and density inhomogeneity on transversal coronal loop oscillations. Astron. Astrophys.  486, 1015–1022 (2008). DOI 10.1051/0004-6361:200809626

    Google Scholar 

  32. Verth, G., Erdélyi, R., Goossens, M.: Magnetoseismology: Eigenmodes of Torsional Alfvén Waves in Stratified Solar Waveguides. Astrophys. J.  714, 1637–1648 (2010). DOI 10.1088/0004-637X/714/2/1637

    Google Scholar 

  33. Verth, G., Erdélyi, R., Jess, D. B.: Refined Magnetoseismological Technique for the Solar Corona. Astrophys. J. Lett.  687, L45–L48 (2008). DOI 10.1086/593184

    Google Scholar 

  34. Verth, G., Goossens, M., He, J. S.: Magnetoseismological Determination of Magnetic Field and Plasma Density Height Variation in a Solar Spicule. Astrophys. J. Lett.  733, L15 (2011). DOI 10.1088/2041-8205/733/1/ L15

    Google Scholar 

  35. Verth, G., Van Doorsselaere, T., Erdélyi, R., Goossens, M.: Spatial magneto-seismology: effect of density stratification on the first harmonic amplitude profile of transversal coronal loop oscillations. Astron. Astrophys.  475, 341–348 (2007). DOI 10.1051/0004-6361:20078086

    Google Scholar 

  36. Verwichte, E., Aschwanden, M. J., Van Doorsselaere, T., Foullon, C., Nakariakov, V. M.: Seismology of a Large Solar Coronal Loop from EUVI/STEREO Observations of its Transverse Oscillation. Astrophys. J.  698, 397–404 (2009). DOI 10.1088/0004-637X/698/1/397

    Google Scholar 

  37. Verwichte, E., Foullon, C., Nakariakov, V. M.: Seismology of curved coronal loops with vertically polarised transverse oscillations. Astron. Astrophys.  452, 615–622 (2006)

    Google Scholar 

  38. Verwichte, E., Foullon, C., Van Doorsselaere, T.: Spatial Seismology of a Large Coronal Loop Arcade from TRACE and EIT Observations of its Transverse Oscillations. Astrophys. J.  717, 458–467 (2010). DOI 10.1088/0004-637X/717/1/458

    Google Scholar 

  39. Verwichte, E., Nakariakov, V. M., Ofman, L., Deluca, E. E.: Characteristics of transverse oscillations in a coronal loop arcade. Solar Phys.  223, 77–94 (2004). DOI 10.1007/s11207-004-0807-6

    Google Scholar 

  40. White, R.S., Verwichte, E.: Transverse coronal loop oscillations seen in unprecedented detail by AIA/SDO. Astron. Astrophys. 537, A49 (2012). DOI 10.1051/0004-6361/201118093

    Google Scholar 

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Acknowledgements

The author acknowledges the financial support received from the Spanish MICINN and FEDER funds under Grant No. AYA2006-07637. The author is also grateful to the Solar Physics Group members at Universitat de les Illes Balears, for many years of fruitful work.

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Correspondence to Iñigo Arregui .

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Arregui, I. (2012). Inversion of Physical Parameters in Solar Atmospheric Seismology. In: Leubner, M., Vörös, Z. (eds) Multi-scale Dynamical Processes in Space and Astrophysical Plasmas. Astrophysics and Space Science Proceedings, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30442-2_18

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  • DOI: https://doi.org/10.1007/978-3-642-30442-2_18

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