Abstract
The direct propagation of acoustic waves, driven harmonically at the solar photosphere, into the three-dimensional solar atmosphere is examined numerically in the framework of ideal magnetohydrodynamics. It is of particular interest to study the leakage of 5-minute global solar acoustic oscillations into the upper, gravitationally stratified and magnetised atmosphere, where the modelled solar atmosphere possesses realistic temperature and density stratification. This work aims to complement and bring further into the 3D domain our previous efforts (by Erdélyi et al., 2007, Astron. Astrophys. 467, 1299) on the leakage of photospheric motions and running magnetic-field-aligned waves excited by these global oscillations. The constructed model atmosphere, most suitable perhaps for quiet Sun regions, is a VAL IIIC derivative in which a uniform magnetic field is embedded. The response of the atmosphere to a range of periodic velocity drivers is numerically investigated in the hydrodynamic and magnetohydrodynamic approximations. Among others the following results are discussed in detail: i) High-frequency waves are shown to propagate from the lower atmosphere across the transition region, experiencing relatively low reflection, and transmitting most of their energy into the corona; ii) the thin transition region becomes a wave guide for horizontally propagating surface waves for a wide range of driver periods, and particularly at those periods that support chromospheric standing waves; iii) the magnetic field acts as a waveguide for both high- and low-frequency waves originating from the photosphere and propagating through the transition region into the solar corona.
Similar content being viewed by others
References
Aschwanden, M.: 2004, Physics of the Solar Corona. An Introduction, Praxis, Chichester.
Banerjee, D., Erdélyi, R., Oliver, R., O’Shea, E.: 2007, Present and future observing trends in atmospheric magnetoseismology. Solar Phys. 246, 3.
Bogdan, T., Carlsson, M., Hansteen, V., McMurry, A., Rosenthal, C., Johnson, M., Petty-Powell, S., Zita, E., Stein, R., McIntosh, S., Nordlund, Å.: 2003, Waves in the magnetized solar atmosphere. II. Waves from localized sources in magnetic flux concentrations. Astrophys. J. 599, 626.
Cally, P.S.: 2001, Note on an exact solution for magnetoatmospheric waves. Astrophys. J. 548, 473.
De Moortel, I., Ireland, J., Hood, A., Walsh, R.: 2002, The detection of 3 & 5 min period oscillations in coronal loops. Astron. Astrophys. 387, L13.
De Pontieu, B., Erdélyi, R., De Wijn, A.: 2003, Intensity oscillations in the upper transition region above active region plage. Astrophys. J. 595, L63.
De Pontieu, B., Tarbell, T., Erdélyi, R.: 2003, Correlations on arcsecond scales between chromospheric and transition region emission in active regions. Astrophys. J. 590, 502.
De Pontieu, B., Erdélyi, R., James, S.: 2004, Solar chromospheric spicules from the leakage of photospheric oscillations and flows. Nature 430, 536.
De Pontieu, B., Erdélyi, R., De Moortel, I.: 2005, How to channel photospheric oscillations into the corona. Astrophys. J. 624, L61.
Erdélyi, R., Malins, C., Tóth, G., De Pontieu, B.: 2007, Leakage of photospheric acoustic waves into non-magnetic solar atmosphere. Astron. Astrophys. 467, 1299.
Finsterle, W., Haberreiter, M., Kosovichev, S., Schmutz, W.: 2008, P-mode leakage and Lyman-α intensity. In: Erdélyi, R., Mendoza-Brice no, C.A. (eds.) Waves and Oscillations in the Solar Atmosphere: Heating and Magneto-Seismology. Proceedings of the International Astronomical Union, IAU Symp. 247, 74.
Fleck, B., Deubner, F.L.: 1989, Dynamics of the solar atmosphere. II – Standing waves in the solar chromosphere. Astron. Astrophys. 224, 245.
Gudiksen, B., Nordlund, Å.: 2002, Bulk heating and slender magnetic loops in the solar corona. Astrophys. J. 572, L113.
Hansteen, V., Carlsson, M., Gudiksen, B.: 2007, 3D numerical models of the chromosphere, transition region, and corona. In: Heinzel, P., Dorotovic, I., Rutten, R.J. (eds.) The Physics of Chromospheric Plasmas CS-368, Astron. Soc. Pac., San Francisco, 107.
Hansteen, V., De Pontieu, B., Rouppe van der Voort, L., van Noort, M., Carlsson, M.: 2006, Dynamic fibrils are driven by magnetoacoustic shocks. Astrophys. J. 647, 73.
Hasan, S., van Ballegooijen, A.: 2008, Dynamics of the solar magnetic network. II. Heating the magnetized chromosphere. Astrophys. J. 680, 1542.
Hasan, S., van Ballegooijen, A., Kalkofen, W., Steiner, O.: 2005, Dynamics of the solar magnetic network: Two-dimensional MHD simulations. Astrophys. J. 631, 1270.
Heggland, L., De Pontieu, B., Hansteen, V.H.: 2007, Numerical simulations of shock wave-driven chromospheric jets. Astrophys. J. 666, 1277.
Malins, C., Erdélyi, R.: 2007, Direct propagation of photospheric acoustic p modes into nonmagnetic solar atmosphere. Solar Phys. 246, 41.
Marsh, M., Walsh, R.: 2006, p-Mode propagation through the transition region into the solar corona. I. Observations. Astrophys. J. 643, 540.
Marsh, M., Walsh, R., De Moortel, I., Ireland, J.: 2003, Joint observations of propagating oscillations with SOHO/CDS and TRACE. Astron. Astrophys. 404, L37.
McDougall, A.M.D., Hood, A.W.: 2008, MHD mode conversion in a stratified atmosphere. In: Erdélyi, R., Mendoza-Briceno, C.A. (eds.) Waves and Oscillations in the Solar Atmosphere: Heating and Magneto-Seismology. Proceedings of the International Astronomical Union, IAU Symp. 247, 296.
McWhirter, R., Thonemann, P., Wilson, R.: 1975, The heating of the solar corona. II – A model based on energy balance. Astron. Astrophys. 40, 63.
Nakagawa, Y.: 1981, Evolution of magnetic field and atmospheric responses – Part two – formulation of proper boundary equations. Astrophys. J. 247, 707.
Nordlund, Å., Galsgaard, K.: 1995, A 3D MHD code for parallel computers. Tech. Rep., Astron. Obs. Univ. Copenhagen.
Ofman, L., Davila, J.: 1998, Solar wind acceleration by large-amplitude nonlinear waves: Parametric study. J. Geophys Res. 103, 23667.
Ofman, L., Thompson, B.: 2002, Interaction of EIT waves with coronal active regions. Astrophys. J. 574, 440.
Ofman, L., Nakariakov, V., Sehgal, N.: 2000, Dissipation of slow magnetosonic waves in coronal plumes. Astrophys. J. 533, 1071.
Oliver, R., Ballester, J.: 1995, Magnetohydrodynamic waves in a bounded inhomogeneous medium with prominence-corona properties. Astrophys. J. 448, 444.
Roberts, B.: 2004, MHD waves in the solar atmosphere. In: Waves, Oscillations and Small-Scale Transients Events in the Solar Atmosphere: Joint View from SOHO and TRACE, Proceedings of SOHO 13 547, 1.
Schunker, H., Cally, P.S.: 2006, Magnetic field inclination and atmospheric oscillations above solar active regions. Mon. Not. Roy. Astron. Soc. 372, 551.
Shelyag, S., Fedun, V., Erdélyi, R.: 2008, Magnetohydrodynamic code for gravitationally-stratified media. Astron. Astrophys. 486, 655S.
Shibata, K.: 1983, Nonlinear MHD wave propagation in the solar chromosphere. I. The case of a uniform vertical magnetic field. Publ. Astron. Soc. Japan 35, 263.
Tóth, G.: 1996, A general code for modeling MHD flows on parallel computers: Versatile advection code. Astrophys. Lett. Commun. 34, 245.
Vernazza, J., Avrett, E., Loeser, R.: 1981, Structure of the solar chromosphere. III – Models of the EUV brightness components of the quiet-sun. Astrophys. J. Suppl. Ser. 45, 635.
Wu, S., Zheng, H., Wang, S., Thompson, B., Plunkett, S., Zhao, X., Dryer, M.: 2001, Three-dimensional numerical simulation of MHD waves observed by the extreme ultraviolet imaging telescope. J. Geophys Res. 106, 25089.
Zhugzhda, Y.D.: 1979, Magnetogravity waves in an isothermal conductive atmosphere. Sov. Astron. 23, 42.
Author information
Authors and Affiliations
Corresponding author
Electronic Supplementary Material
Rights and permissions
About this article
Cite this article
Fedun, V., Erdélyi, R. & Shelyag, S. Oscillatory Response of the 3D Solar Atmosphere to the Leakage of Photospheric Motion. Sol Phys 258, 219–241 (2009). https://doi.org/10.1007/s11207-009-9407-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11207-009-9407-9