Abstract
Magnetohydrodynamic (MHD) oscillatory processes in different plasma systems, such as the corona of the Sun and the Earth’s magnetosphere, show interesting similarities and differences, which so far received little attention and remain under-exploited. The successful commissioning within the past ten years of THEMIS, Hinode, STEREO and SDO spacecraft, in combination with matured analysis of data from earlier spacecraft (Wind, SOHO, ACE, Cluster, TRACE and RHESSI) makes it very timely to survey the breadth of observations giving evidence for MHD oscillatory processes in solar and space plasmas, and state-of-the-art theoretical modelling. The paper reviews several important topics, such as Alfvénic resonances and mode conversion; MHD waveguides, such as the magnetotail, coronal loops, coronal streamers; mechanisms for periodicities produced in energy releases during substorms and solar flares, possibility of Alfvénic resonators along open field lines; possible drivers of MHD waves; diagnostics of plasmas with MHD waves; interaction of MHD waves with partly-ionised boundaries (ionosphere and chromosphere). The review is mainly oriented to specialists in magnetospheric physics and solar physics, but not familiar with specifics of the adjacent research fields.
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Notes
For example, the nominal cadence time of the Atmospheric Imaging Assembly on the Solar Dynamics Observatory is 12 seconds, while there is a technical possibility to reduce it to 2 seconds for selected wavelength channels (Lemen et al. 2012). The High Resolution Coronal Imager (Hi-C) on a sounding rocket had the cadence of 5.57 s (Kobayashi et al. 2014).
References
V.E. Abramov-Maximov, V.I. Efremov, L.D. Parfinenko, A.A. Solov’ev, K. Shibasaki, Long-term oscillations of sunspots from simultaneous observations with the Nobeyama radioheliograph and solar dynamics observatory. Publ. Astron. Soc. Jpn. 65, 12 (2013). doi:10.1093/pasj/65.sp1.S12
A.N. Afanasyev, V.M. Nakariakov, Nonlinear slow magnetoacoustic waves in coronal plasma structures. Astron. Astrophys. 573, 32 (2015). doi:10.1051/0004-6361/201424516
A.N. Afanasyev, A.M. Uralov, Coronal shock waves, EUV waves, and their relation to CMEs. II. Modeling MHD shock wave propagation along the solar surface, using nonlinear geometrical acoustics. Sol. Phys. 273, 479–491 (2011). doi:10.1007/s11207-011-9730-9
H. Alfvén, Existence of electromagnetic-hydrodynamic waves. Nature 150, 405–406 (1942). doi:10.1038/150405d0
L.S. Alperovich, E.N. Fedorov (eds.), in Hydromagnetic Waves in the Magnetosphere and the Ionosphere. Astrophysics and Space Science Library, vol. 353 (2007)
J. Andries, T. van Doorsselaere, B. Roberts, G. Verth, E. Verwichte, R. Erdélyi, Coronal seismology by means of kink oscillation overtones. Space Sci. Rev. 149, 3–29 (2009). doi:10.1007/s11214-009-9561-2
S. Anfinogentov, G. Nisticò, V.M. Nakariakov, Decay-less kink oscillations in coronal loops. Astron. Astrophys. 560, 107 (2013). doi:10.1051/0004-6361/201322094
P. Antolin, T. Van Doorsselaere, Line-of-sight geometrical and instrumental resolution effects on intensity perturbations by sausage modes. Astron. Astrophys. 555, 74 (2013). doi:10.1051/0004-6361/201220784
P. Antolin, T. Yokoyama, T. Van Doorsselaere, Fine strand-like structure in the solar corona from magnetohydrodynamic transverse oscillations. Astrophys. J. Lett. 787, 22 (2014). doi:10.1088/2041-8205/787/2/L22
I. Arregui, Wave heating of the solar atmosphere. Philos. Trans. R. Soc. Lond. Ser. A 373, 40261 (2015). doi:10.1098/rsta.2014.0261
I. Arregui, J. Andries, T. Van Doorsselaere, M. Goossens, S. Poedts, 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
A. Artemyev, I. Zimovets, Stability of current sheets in the solar corona. Sol. Phys. 277, 283–298 (2012). doi:10.1007/s11207-011-9908-1
A. Asai, T.T. Ishii, H. Isobe, R. Kitai, K. Ichimoto, S. UeNo, S. Nagata, S. Morita, K. Nishida, D. Shiota, A. Oi, M. Akioka, K. Shibata, First simultaneous observation of an \(\mbox{H}{\alpha}\) Moreton wave, EUV wave, and filament/prominence oscillations. Astrophys. J. Lett. 745, 18 (2012). doi:10.1088/2041-8205/745/2/L18
M.J. Aschwanden, Theory of radio pulsations in coronal loops. Sol. Phys. 111, 113–136 (1987). doi:10.1007/BF00145445
M.J. Aschwanden, L. Fletcher, C.J. Schrijver, D. Alexander, Coronal loop oscillations observed with the transition region and coronal explorer. Astrophys. J. 520, 880–894 (1999). doi:10.1086/307502
G.D.R. Attrill, L.K. Harra, L. van Driel-Gesztelyi, P. Démoulin, Coronal “Wave”: magnetic footprint of a coronal mass ejection? Astrophys. J. Lett. 656, 101–104 (2007). doi:10.1086/512854
G. Aulanier, M. Janvier, B. Schmieder, The standard flare model in three dimensions. I. Strong-to-weak shear transition in post-flare loops. Astron. Astrophys. 543, 110 (2012). doi:10.1051/0004-6361/201219311
L.J. Baddeley, T.K. Yeoman, D.M. Wright, J.A. Davies, K.J. Trattner, J.L. Roeder, Morning sector drift-bounce resonance driven ULF waves observed in artificially-induced HF radar backscatter. Ann. Geophys. 20, 1487–1498 (2002). doi:10.5194/angeo-20-1487-2002
D. Banerjee, E. O’Shea, J.G. Doyle, M. Goossens, Long period oscillations in the inter-plume regions of the Sun. Astron. Astrophys. 377, 691–700 (2001). doi:10.1051/0004-6361:20011153
D. Banerjee, G.R. Gupta, L. Teriaca, Propagating MHD waves in coronal holes. Space Sci. Rev. 158, 267–288 (2011). doi:10.1007/s11214-010-9698-z
M. Bárta, J. Büchner, M. Karlický, J. Skála, Spontaneous current-layer fragmentation and cascading reconnection in solar flares. I. Model and analysis. Astrophys. J. 737, 24 (2011). doi:10.1088/0004-637X/737/1/24
T.M. Bauer, W. Baumjohann, R.A. Treumann, N. Sckopke, H. Lühr, Low-frequency waves in the near-Earth plasma sheet. J. Geophys. Res. 100, 9605–9618 (1995). doi:10.1029/95JA00136
A.J.C. Beliën, P.C.H. Martens, R. Keppens, Coronal heating by resonant absorption: the effects of chromospheric coupling. Astrophys. J. 526, 478–493 (1999). doi:10.1086/307980
A.O. Benz, Flare observations. Living Rev. Sol. Phys. 5, 1 (2008). doi:10.12942/lrsp-2008-1
D. Berghmans, F. Clette, Active region EUV transient brightenings—first results by EIT of SOHO JOP80. Sol. Phys. 186, 207–229 (1999). doi:10.1023/A:1005189508371
D. Berghmans, P. de Bruyne, Coronal loop oscillations driven by footpoint motions: analytical results for a model problem. Astrophys. J. 453, 495 (1995). doi:10.1086/176410
D.A. Biesecker, D.C. Myers, B.J. Thompson, D.M. Hammer, A. Vourlidas, Solar phenomena associated with “EIT Waves”. Astrophys. J. 569, 1009–1015 (2002). doi:10.1086/339402
D.L. Book, NRL Plasma Formulary (Naval Research Lab., Washington, 1983)
J.E. Borovsky, Auroral arc thicknesses as predicted by various theories. J. Geophys. Res. 98, 6101–6138 (1993). doi:10.1029/92JA02242
G.J.J. Botha, T.D. Arber, V.M. Nakariakov, Y.D. Zhugzhda, Chromospheric resonances above sunspot umbrae. Astrophys. J. 728, 84 (2011). doi:10.1088/0004-637X/728/2/84
C.S. Brady, E. Verwichte, T.D. Arber, Leakage of waves from coronal loops by wave tunneling. Astron. Astrophys. 449, 389–399 (2006). doi:10.1051/0004-6361:20054097
R. Bruno, V. Carbone, The solar wind as a turbulence laboratory. Living Rev. Sol. Phys. 10, 2 (2013). doi:10.12942/lrsp-2013-2
P.S. Cally, Leaky and non-leaky oscillations in magnetic flux tubes. Sol. Phys. 103, 277–298 (1986). doi:10.1007/BF00147830
K. Chandrashekhar, R.J. Morton, D. Banerjee, G.R. Gupta, The dynamical behaviour of a jet in an on-disk coronal hole observed with AIA/SDO. Astron. Astrophys. 562, 98 (2014). doi:10.1051/0004-6361/201322408
C.C. Chaston, J.W. Bonnell, L.M. Peticolas, C.W. Carlson, J.P. McFadden, R.E. Ergun, Driven Alfvén waves and electron acceleration: a FAST case study. Geophys. Res. Lett. 29, 1535 (2002a). doi:10.1029/2001GL013842
C.C. Chaston, J.W. Bonnell, C.W. Carlson, M. Berthomier, L.M. Peticolas, I. Roth, J.P. McFadden, R.E. Ergun, R.J. Strangeway, Electron acceleration in the ionospheric Alfvén resonator. J. Geophys. Res. Space Phys. 107, 1413 (2002b). doi:10.1029/2002JA009272
P.F. Chen, The relation between EIT waves and solar flares. Astrophys. J. Lett. 641, 153–156 (2006). doi:10.1086/503868
P.F. Chen, Coronal mass ejections: models and their observational basis. Living Rev. Sol. Phys. 8, 1 (2011). doi:10.12942/lrsp-2011-1
L. Chen, A. Hasegawa, A theory of long-period magnetic pulsations: 1. Steady state excitation of field line resonance. J. Geophys. Res. 79, 1024–1032 (1974). doi:10.1029/JA079i007p01024
P.F. Chen, E.R. Priest, Transition-region explosive events: reconnection modulated by p-mode waves. Sol. Phys. 238, 313–327 (2006). doi:10.1007/s11207-006-0215-1
P.F. Chen, Y. Wu, First evidence of coexisting EIT wave and coronal Moreton wave from SDO/AIA observations. Astrophys. J. Lett. 732, 20 (2011). doi:10.1088/2041-8205/732/2/L20
P.F. Chen, S.T. Wu, K. Shibata, C. Fang, Evidence of EIT and Moreton waves in numerical simulations. Astrophys. J. Lett. 572, 99–102 (2002). doi:10.1086/341486
P.F. Chen, C. Fang, K. Shibata, A full view of EIT waves. Astrophys. J. 622, 1202–1210 (2005). doi:10.1086/428084
Y. Chen, H.Q. Song, B. Li, L.D. Xia, Z. Wu, H. Fu, X. Li, Streamer waves driven by coronal mass ejections. Astrophys. J. 714, 644–651 (2010). doi:10.1088/0004-637X/714/1/644
C.Z. Cheng, C.S. Lin, Eigenmode analysis of compressional waves in the magnetosphere. Geophys. Res. Lett. 14, 884–887 (1987). doi:10.1029/GL014i008p00884
C.Z. Cheng, Q. Qian, Theory of ballooning-mirror instabilities for anisotropic pressure plasmas in the magnetosphere. J. Geophys. Res. 99, 11193–11210 (1994). doi:10.1029/94JA00657
J.W. Cirtain, L. Golub, L. Lundquist, A. van Ballegooijen, A. Savcheva, M. Shimojo, E. DeLuca, S. Tsuneta, T. Sakao, K. Reeves, M. Weber, R. Kano, N. Narukage, K. Shibasaki, Evidence for Alfvén waves in solar X-ray jets. Science 318, 1580 (2007). doi:10.1126/science.1147050
S.G. Claudepierre, S.R. Elkington, M. Wiltberger, Solar wind driving of magnetospheric ULF waves: pulsations driven by velocity shear at the magnetopause. J. Geophys. Res. Space Phys. 113, 5218 (2008). doi:10.1029/2007JA012890
F.C. Cooper, V.M. Nakariakov, D. Tsiklauri, Line-of-sight effects on observability of kink and sausage modes in coronal structures with imaging telescopes. Astron. Astrophys. 397, 765–770 (2003a). doi:10.1051/0004-6361:20021556
F.C. Cooper, V.M. Nakariakov, D.R. Williams, Short period fast waves in solar coronal loops. Astron. Astrophys. 409, 325–330 (2003b). doi:10.1051/0004-6361:20031071
S.W.H. Cowley, M. Ashour-Abdalla, Adiabatic plasma convection in a dipole field: proton forbidden-zone effects for a simple electric field model. Planet. Space Sci. 24, 821–833 (1976). doi:10.1016/0032-0633(76)90072-6
C. Crabtree, L. Chen, Finite gyroradius theory of drift compressional modes. Geophys. Res. Lett. 31, 17804 (2004). doi:10.1029/2004GL020660
R. Cramm, K.-H. Glassmeier, M. Stellmacher, C. Othmer, Evidence for resonant mode coupling in Saturn’s magnetosphere. J. Geophys. Res. 103, 11951–11960 (1998). doi:10.1029/98JA00629
S.R. Cranmer, Coronal holes and the high-speed solar wind. Space Sci. Rev. 101, 229–294 (2002)
S.R. Cranmer, A.A. van Ballegooijen, On the generation, propagation, and reflection of Alfvén waves from the solar photosphere to the distant heliosphere. Astrophys. J. Suppl. 156, 265–293 (2005). doi:10.1086/426507
J.M. Davila, Heating of the solar corona by the resonant absorption of Alfvén waves. Astrophys. J. 317, 514–521 (1987). doi:10.1086/165295
I. De Moortel, Longitudinal waves in coronal loops. Space Sci. Rev. 149, 65–81 (2009). doi:10.1007/s11214-009-9526-5
I. De Moortel, A.W. Hood, The damping of slow MHD waves in solar coronal magnetic fields. Astron. Astrophys. 408, 755–765 (2003). doi:10.1051/0004-6361:20030984
I. De Moortel, A.W. Hood, The damping of slow MHD waves in solar coronal magnetic fields. II. The effect of gravitational stratification and field line divergence. Astron. Astrophys. 415, 705–715 (2004). doi:10.1051/0004-6361:20034233
I. De Moortel, V.M. Nakariakov, Magnetohydrodynamic waves and coronal seismology: an overview of recent results. Philos. Trans. R. Soc. Lond. Ser. A 370, 3193–3216 (2012). doi:10.1098/rsta.2011.0640
I. De Moortel, D.J. Pascoe, The effects of line-of-sight integration on multistrand coronal loop oscillations. Astrophys. J. 746, 31 (2012). doi:10.1088/0004-637X/746/1/31
I. De Moortel, J. Ireland, R.W. Walsh, A.W. Hood, Longitudinal intensity oscillations in coronal loops observed with TRACE I. Overview of measured parameters. Sol. Phys. 209, 61–88 (2002). doi:10.1023/A:1020956421063
B. de Pontieu, G. Haerendel, Weakly damped Alfvén waves as drivers for spicules. Astron. Astrophys. 338, 729–736 (1998)
B. De Pontieu, P.C.H. Martens, H.S. Hudson, Chromospheric damping of Alfvén waves. Astrophys. J. 558, 859–871 (2001). doi:10.1086/322408
B. De Pontieu, R. Erdélyi, I. De Moortel, How to channel photospheric oscillations into the corona. Astrophys. J. Lett. 624, 61–64 (2005). doi:10.1086/430345
C.E. DeForest, J.B. Gurman, Observation of quasi-periodic compressive waves in solar polar plumes. Astrophys. J. Lett. 501, 217–220 (1998). doi:10.1086/311460
C. Delannée, G. Aulanier, CME associated with transequatorial loops and a bald patch flare. Sol. Phys. 190, 107–129 (1999). doi:10.1023/A:1005249416605
A.G. Demekhov, V.Y. Trakhtengerts, T. Bösinger, Pc 1 waves and ionospheric Alfvén resonator: generation or filtration? Geophys. Res. Lett. 27, 3805–3808 (2000). doi:10.1029/2000GL000126
R.E. Denton, Compressibility of the poloidal mode. J. Geophys. Res. 103, 4755–4760 (1998). doi:10.1029/97JA02652
J. Du, T.L. Zhang, R. Nakamura, C. Wang, W. Baumjohann, A.M. Du, M. Volwerk, K.-H. Glassmeier, J.P. McFadden, Mode conversion between Alfvén and slow waves observed in the magnetotail by THEMIS. Geophys. Res. Lett. 38, 7101 (2011). doi:10.1029/2011GL046989
J.W. Dungey, D.J. Southwood, Ultra low frequency waves in the magnetosphere. Space Sci. Rev. 10, 672–688 (1970). doi:10.1007/BF00171551
M.M. Echim, J.F. Lemaire, Laboratory and numerical simulations of the impulsive penetration mechanism. Space Sci. Rev. 92, 565–601 (2000)
P.M. Edwin, B. Roberts, Wave propagation in a magnetically structured atmosphere. III. The slab in a magnetic environment. Sol. Phys. 76, 239–259 (1982). doi:10.1007/BF00170986
P.M. Edwin, B. Roberts, Wave propagation in a magnetic cylinder. Sol. Phys. 88, 179–191 (1983). doi:10.1007/BF00196186
R. Erdélyi, Y. Taroyan, Hinode EUV spectroscopic observations of coronal oscillations. Astron. Astrophys. 489, 49–52 (2008). doi:10.1051/0004-6361:200810263
R.E. Ergun, Y.-J. Su, L. Andersson, F. Bagenal, P.A. Delamere, R.L. Lysak, R.J. Strangway, S-bursts and the Jupiter ionospheric Alfvén resonator. J. Geophys. Res. 111, 06212 (2006). doi:10.1029/2005JA011253
N.V. Erkaev, V.S. Semenov, H.K. Biernat, Magnetic double-gradient instability and flapping waves in a current sheet. Phys. Rev. Lett. 99(23), 235003 (2007). doi:10.1103/PhysRevLett.99.235003
N.V. Erkaev, V.S. Semenov, I.V. Kubyshkin, M.V. Kubyshkina, H.K. Biernat, MHD model of the flapping motions in the magnetotail current sheet. J. Geophys. Res. 114, 3206 (2009). doi:10.1029/2008JA013728
N.V. Erkaev, V.S. Semenov, H.K. Biernat, Hall magnetohydrodynamic effects for current sheet flapping oscillations related to the magnetic double gradient mechanism. Phys. Plasmas 17(6), 060703 (2010). doi:10.1063/1.3439687
E.N. Fedorov, V.A. Pilipenko, V.V. Vovchenko, Interaction between the Alfvén wave and turbulent sheet. Geomagn. Aeron. 47, 570–579 (2007). doi:10.1134/S0016793207050052
F.R. Fenrich, J.C. Samson, Growth and decay of field line resonances. J. Geophys. Res. 102, 20031–20040 (1997). doi:10.1029/97JA01376
C.A. Ferraro, C. Plumpton, Hydromagnetic waves in a horizontally stratified atmosphere. V. Astrophys. J. 127, 459 (1958). doi:10.1086/146474
L. Fletcher, H.S. Hudson, Impulsive phase flare energy transport by large-scale Alfvén waves and the electron acceleration problem. Astrophys. J. 675, 1645–1655 (2008). doi:10.1086/527044
C. Foullon, E. Verwichte, V.M. Nakariakov, K. Nykyri, C.J. Farrugia, Magnetic Kelvin-Helmholtz instability at the Sun. Astrophys. J. Lett. 729, 8 (2011). doi:10.1088/2041-8205/729/1/L8
S. Fujita, T. Tanaka, Magnetospheric plasma processes during a sudden commencement revealed from a global MHD simulation, in Magnetospheric ULF Waves: Synthesis and New Directions, ed. by K. Takahashi, P.J. Chi, R.E. Denton, R.L. Lysak. Washington DC American Geophysical Union Geophysical Monograph Series, vol. 169 (2006), p. 31
S. Fujita, M. Itonaga, H. Nakata, Relationship between the Pi2 pulsations and the localized impulsive current associated with the current disruption in the magnetosphere. Earth Planets Space 52, 267–281 (2000)
H. Fukunishi, L.J. Lanzerotti, Hydromagnetic waves in the dayside cusp region and ground signatures of flux transfer events, in Plasma Waves and Instabilities at Comets and in Magnetospheres. Washington DC American Geophysical Union Geophysical Monograph Series, vol. 53 (1989), pp. 179–195
P.T. Gallagher, D.M. Long, Large-scale bright fronts in the solar corona: a review of “EIT waves”. Space Sci. Rev. 158, 365–396 (2011). doi:10.1007/s11214-010-9710-7
K.-H. Glassmeier, C. Othmer, R. Cramm, et al., Magnetospheric field line resonances: a comparative planetology approach. Surv. Geophys. 20, 61–109 (1999). doi:10.1023/A:1006659717963
C.K. Goertz, R.W. Boswell, Magnetosphere-ionosphere coupling. J. Geophys. Res. 84, 7239–7246 (1979). doi:10.1029/JA084iA12p07239
I.V. Golovchanskaya, Y.P. Maltsev, On the identification of plasma sheet flapping waves observed by Cluster. Geophys. Res. Lett. 32, 2102 (2005). doi:10.1029/2004GL021552
M. Goossens, S. Poedts, D. Hermans, On the existence of the continuous spectrum of ideal MHD in a 2D magnetostatic equilibrium. Sol. Phys. 102, 51–66 (1985). doi:10.1007/BF00154037
M. Goossens, J.V. Hollweg, T. Sakurai, Resonant behaviour of MHD waves on magnetic flux tubes. III. Effect of equilibrium flow. Sol. Phys. 138, 233–255 (1992)
M. Goossens, I. Arregui, J.L. Ballester, T.J. Wang, Analytic approximate seismology of transversely oscillating coronal loops. Astron. Astrophys. 484, 851–857 (2008). doi:10.1051/0004-6361:200809728
M. Goossens, R. Erdélyi, M.S. Ruderman, Resonant MHD waves in the solar atmosphere. Space Sci. Rev. 158, 289–338 (2011). doi:10.1007/s11214-010-9702-7
M. Goossens, J. Andries, R. Soler, T. Van Doorsselaere, I. Arregui, J. Terradas, Surface Alfvén waves in solar flux tubes. Astrophys. J. 753, 111 (2012). doi:10.1088/0004-637X/753/2/111
M. Goossens, R. Soler, J. Terradas, T. Van Doorsselaere, G. Verth, The transverse and rotational motions of magnetohydrodynamic kink waves in the solar atmosphere. Astrophys. J. 788, 9 (2014). doi:10.1088/0004-637X/788/1/9
N. Gopalswamy, S. Yashiro, M. Temmer, J. Davila, W.T. Thompson, S. Jones, R.T.J. McAteer, J.-P. Wuelser, S. Freeland, R.A. Howard, EUV wave reflection from a coronal hole. Astrophys. J. Lett. 691, 123–127 (2009). doi:10.1088/0004-637X/691/2/L123
P.C. Grigis, A.O. Benz, The evolution of reconnection along an arcade of magnetic loops. Astrophys. J. Lett. 625, 143–146 (2005). doi:10.1086/431147
M. Gruszecki, V.M. Nakariakov, T. van Doorsselaere, T.D. Arber, Phenomenon of Alfvénic vortex shedding. Phys. Rev. Lett. 105(5), 055004 (2010). doi:10.1103/PhysRevLett.105.055004
M. Gruszecki, V.M. Nakariakov, T. Van Doorsselaere, Intensity variations associated with fast sausage modes. Astron. Astrophys. 543, 12 (2012). doi:10.1051/0004-6361/201118168
A.V. Guglielmi, O.A. Pokhotelov, Geoelectromagnetic Waves (1996)
A.V. Gul’elmi, Annular trap for low-frequency wave in the earth’s magnetosphere. Sov. Phys. JETP 12, 25–28 (1970)
X.C. Guo, C. Wang, Y.Q. Hu, Global MHD simulation of the Kelvin-Helmholtz instability at the magnetopause for northward interplanetary magnetic field. J. Geophys. Res. Space Phys. 115, 10218 (2010). doi:10.1029/2009JA015193
A. Hasegawa, Drift mirror instability of the magnetosphere. Phys. Fluids 12, 2642–2650 (1969). doi:10.1063/1.1692407
H. Hasegawa, M. Fujimoto, T.-D. Phan, H. Rème, A. Balogh, M.W. Dunlop, C. Hashimoto, R. TanDokoro, Transport of solar wind into Earth’s magnetosphere through rolled-up Kelvin-Helmholtz vortices. Nature 430, 755–758 (2004). doi:10.1038/nature02799
D.H. Hathaway, The solar cycle. Living Rev. Sol. Phys. 7, 1 (2010). doi:10.12942/lrsp-2010-1
B. Heilig, H. Lühr, M. Rother, Comprehensive study of ULF upstream waves observed in the topside ionosphere by CHAMP and on the ground. Ann. Geophys. 25, 737–754 (2007). doi:10.5194/angeo-25-737-2007
B. Heilig, S. Lotz, J. Verō, P. Sutcliffe, J. Reda, K. Pajunpää, T. Raita, Empirically modelled Pc3 activity based on solar wind parameters. Ann. Geophys. 28, 1703–1722 (2010). doi:10.5194/angeo-28-1703-2010
J. Hershaw, C. Foullon, V.M. Nakariakov, E. Verwichte, Damped large amplitude transverse oscillations in an EUV solar prominence, triggered by large-scale transient coronal waves. Astron. Astrophys. 531, 53 (2011). doi:10.1051/0004-6361/201116750
A. Hillier, R.J. Morton, R. Erdélyi, A statistical study of transverse oscillations in a quiescent prominence. Astrophys. J. Lett. 779, 16 (2013). doi:10.1088/2041-8205/779/2/L16
J.V. Hollweg, Resonances of coronal loops. Astrophys. J. 277, 392–403 (1984). doi:10.1086/161706
J.V. Hollweg, Resonant decay of global MHD modes at ‘thick’ interfaces. J. Geophys. Res. 95, 2319–2324 (1990). doi:10.1029/JA095iA03p02319
J.V. Hollweg, G. Yang, Resonance absorption of compressible magnetohydrodynamic waves at thin ‘surfaces’. J. Geophys. Res. 93, 5423–5436 (1988)
V. Holzwarth, D. Schmitt, M. Schüssler, Flow instabilities of magnetic flux tubes. II. Longitudinal flow. Astron. Astrophys. 469, 11–17 (2007). doi:10.1051/0004-6361:20077269
A.W. Hood, M. Ruderman, D.J. Pascoe, I. De Moortel, J. Terradas, A.N. Wright, Damping of kink waves by mode coupling. I. Analytical treatment. Astron. Astrophys. 551, 39 (2013). doi:10.1051/0004-6361/201220617
W.J. Hughes, D.J. Southwood, The screening of micropulsation signals by the atmosphere and ionosphere. J. Geophys. Res. 81, 3234–3240 (1976). doi:10.1029/JA081i019p03234
A.R. Inglis, V.M. Nakariakov, A multi-periodic oscillatory event in a solar flare. Astron. Astrophys. 493, 259–266 (2009). doi:10.1051/0004-6361:200810473
A.R. Inglis, V.M. Nakariakov, V.F. Melnikov, Multi-wavelength spatially resolved analysis of quasi-periodic pulsations in a solar flare. Astron. Astrophys. 487, 1147–1153 (2008). doi:10.1051/0004-6361:20079323
A.R. Inglis, T. Van Doorsselaere, C.S. Brady, V.M. Nakariakov, Characteristics of magnetoacoustic sausage modes. Astron. Astrophys. 503, 569–575 (2009). doi:10.1051/0004-6361/200912088
J.A. Ionson, Resonant absorption of Alfvénic surface waves and the heating of solar coronal loops. Astrophys. J. 226, 650–673 (1978). doi:10.1086/156648
P. Jelínek, M. Karlický, Magnetoacoustic waves in diagnostics of the flare current sheets. Astron. Astrophys. 537, 46 (2012). doi:10.1051/0004-6361/201117883
L.K. Jian, C.T. Russell, J.G. Luhmann, R.J. Strangeway, J.S. Leisner, A.B. Galvin, Ion cyclotron waves in the solar wind observed by STEREO near 1 AU. Astrophys. J. Lett. 701, 105–109 (2009). doi:10.1088/0004-637X/701/2/L105
P.S. Joarder, V.M. Nakariakov, B. Roberts, A manifestation of negative energy waves in the solar atmosphere. Sol. Phys. 176, 285–297 (1997). doi:10.1023/A:1004977928351
B.B. Kadomtsev, Collective Phenomena in Plasmas (Elsevier Science Limited, Amsterdam, 1982)
B.B. Kadomtsev, O.P. Pogutse, Plasma instability due to particle trapping in a toroidal geometry. Sov. Phys. JETP 24, 1172–1179 (1967)
M. Karlický, Cyclic magnetic field reconnection. Astrophys. J. Lett. 692, 72–75 (2009). doi:10.1088/0004-637X/692/2/L72
M. Karlický, M. Bárta, Successive merging of plasmoids and fragmentation in a flare current sheet and their X-ray and radio signatures. Astrophys. J. 733, 107 (2011). doi:10.1088/0004-637X/733/2/107
M. Karlický, B. Kliem, Reconnection of a kinking flux rope triggering the ejection of a microwave and hard X-ray source I. Observations and interpretation. Sol. Phys. 266, 71–89 (2010). doi:10.1007/s11207-010-9606-4
M. Karlický, M. Bárta, H. Mészárosová, P. Zlobec, Time scales of the slowly drifting pulsating structure observed during the April 12, 2001 flare. Astron. Astrophys. 432, 705–712 (2005). doi:10.1051/0004-6361:20041551
M. Karlický, M. Bárta, J. Rybák, Radio spectra generated during coalescence processes of plasmoids in a flare current sheet. Astron. Astrophys. 514, 28 (2010). doi:10.1051/0004-6361/200913547
M. Karlický, P. Jelínek, H. Mészárosová, Magnetoacoustic waves in the narrowband dm-spikes sources. Astron. Astrophys. 529, 96 (2011). doi:10.1051/0004-6361/201016171
M. Karlický, H. Mészárosová, P. Jelínek, Radio fiber bursts and fast magnetoacoustic wave trains. Astron. Astrophys. 550, 1 (2013). doi:10.1051/0004-6361/201220296
A.C. Katsiyannis, D.R. Williams, R.T.J. McAteer, P.T. Gallagher, F.P. Keenan, F. Murtagh, Eclipse observations of high-frequency oscillations in active region coronal loops. Astron. Astrophys. 406, 709–714 (2003). doi:10.1051/0004-6361:20030458
A. Keiling, K. Takahashi, Review of Pi2 Models. Space Sci. Rev. 161, 63–148 (2011). doi:10.1007/s11214-011-9818-4
A. Keiling, J.R. Wygant, C. Cattell, W. Peria, G. Parks, M. Temerin, F.S. Mozer, C.T. Russell, C.A. Kletzing, Correlation of Alfvén wave Poynting flux in the plasma sheet at \(4\mbox{--}7~\mbox{R}_{E}\) with ionospheric electron energy flux. J. Geophys. Res. Space Phys. 107, 1132 (2002). doi:10.1029/2001JA900140
A. Keiling, M. Fujimoto, H. Hasegawa, F. Honary, V. Sergeev, V.S. Semenov, H.U. Frey, O. Amm, H. Rème, I. Dandouras, E. Lucek, Association of Pi2 pulsations and pulsed reconnection: ground and Cluster observations in the tail lobe at \(16~\mbox{R}_{E}\). Ann. Geophys. 24, 3433–3449 (2006). doi:10.5194/angeo-24-3433-2006
L. Kepko, H.E. Spence, Observations of discrete, global magnetospheric oscillations directly driven by solar wind density variations. J. Geophys. Res. Space Phys. 108, 1257 (2003). doi:10.1029/2002JA009676
M.L. Khodachenko, V.V. Zaitsev, A.G. Kislyakov, A.V. Stepanov, Equivalent electric circuit models of coronal magnetic loops and related oscillatory phenomena on the Sun. Space Sci. Rev. 149, 83–117 (2009). doi:10.1007/s11214-009-9538-1
S. Kim, V.M. Nakariakov, K. Shibasaki, Slow magnetoacoustic oscillations in the microwave emission of solar flares. Astrophys. J. Lett. 756, 36 (2012). doi:10.1088/2041-8205/756/2/L36
S. Kim, V.M. Nakariakov, K.-S. Cho, Vertical kink oscillation of a magnetic flux rope structure in the solar corona. Astrophys. J. Lett. 797, 22 (2014). doi:10.1088/2041-8205/797/2/L22
M.G. Kivelson, S.-H. Chen, The Magnetopause: Surface Waves and Instabilities and Their Possible Dynamical Consequences (Am. Geophys. Union, Washington, 1995), pp. 257–268. ISBN 9781118663974. doi:10.1029/GM090p0257
M.G. Kivelson, D.J. Southwood, Coupling of global magnetospheric MHD eigenmodes to field line resonances. J. Geophys. Res. 91, 4345–4351 (1986). doi:10.1029/JA091iA04p04345
B. Kliem, M. Karlický, A.O. Benz, Solar flare radio pulsations as a signature of dynamic magnetic reconnection. Astron. Astrophys. 360, 715–728 (2000)
D.Y. Klimushkin, Method of description of the Alfvén and magnetosonic branches of inhomogeneous plasma oscillations. Plasma Phys. Rep. 20, 280–286 (1994)
D.Y. Klimushkin, Resonators for hydromagnetic waves in the magnetosphere. J. Geophys. Res. 103, 2369–2376 (1998). doi:10.1029/97JA02193
D.Y. Klimushkin, The propagation of high-\(m\) Alfvén waves in the Earth’s magnetosphere and their interaction with high-energy particles. J. Geophys. Res. 105, 23303–23310 (2000). doi:10.1029/1999JA000396
D.Y. Klimushkin, How energetic particles construct and destroy poloidal high-m Alfvén waves in the magnetosphere. Planet. Space Sci. 55, 722–730 (2007). doi:10.1016/j.pss.2005.11.006
D.Y. Klimushkin, P.N. Mager, The structure of low-frequency standing Alfvén waves in the box model of the magnetosphere with magnetic field shear. J. Plasma Phys. 70, 379–395 (2004). doi:10.1017/S0022377803002563
D.Y. Klimushkin, P.N. Mager, Spatial structure and stability of coupled Alfvén and drift compressional modes in non-uniform magnetosphere: gyrokinetic treatment. Planet. Space Sci. 59, 1613–1620 (2011). doi:10.1016/j.pss.2011.07.010
D.Y. Klimushkin, P.N. Mager, The Alfvén wave parallel electric field in non-uniform space plasmas. Astrophys. Space Sci. 350, 579–583 (2014). doi:10.1007/s10509-013-1774-x
D. Klimushkin, P. Mager, K. Glassmeier, Toroidal and poloidal Alfvén waves with arbitrary azimuthal wavenumbers in a finite pressure plasma in the Earth’s magnetosphere. Ann. Geophys. 22, 267–287 (2004). doi:10.5194/angeo-22-267-2004
D.Y. Klimushkin, P.N. Mager, V.A. Pilipenko, On the ballooning instability of the coupled Alfvén and drift compressional modes. Earth Planets Space 64, 777–781 (2012). doi:10.5047/eps.2012.04.002
K. Kobayashi, J. Cirtain, A.R. Winebarger, K. Korreck, L. Golub, R.W. Walsh, B. De Pontieu, C. DeForest, A. Title, S. Kuzin, S. Savage, D. Beabout, B. Beabout, W. Podgorski, D. Caldwell, K. McCracken, M. Ordway, H. Bergner, R. Gates, S. McKillop, P. Cheimets, S. Platt, N. Mitchell, D. Windt, The high-resolution coronal imager (Hi-C). Sol. Phys. 289, 4393–4412 (2014). doi:10.1007/s11207-014-0544-4
M.M. Kobrin, V.I. Malygin, S.D. Snegirev, Long-period pulsations of the earth’s magnetic field with periods more than 20 minutes before proton flares on the sun. Planet. Space Sci. 33, 1251–1257 (1985). doi:10.1016/0032-0633(85)90003-0
D.Y. Kolotkov, V.M. Nakariakov, E.G. Kupriyanova, H. Ratcliffe, K. Shibasaki, Multi-mode quasi-periodic pulsations in a solar flare. Astron. Astrophys. 574, 53 (2015). doi:10.1051/0004-6361/201424988
Y.G. Kopylova, A.V. Melnikov, A.V. Stepanov, Y.T. Tsap, T.B. Goldvarg, Oscillations of coronal loops and second pulsations of solar radio emission. Astron. Lett. 33, 706–713 (2007). doi:10.1134/S1063773707100088
D.B. Korovinskiy, A. Divin, N.V. Erkaev, V.V. Ivanova, I.B. Ivanov, V.S. Semenov, G. Lapenta, S. Markidis, H.K. Biernat, M. Zellinger, MHD modeling of the double-gradient (kink) magnetic instability. J. Geophys. Res. 118, 1146–1158 (2013). doi:10.1002/jgra.50206
D.B. Korovinskiy, A.V. Divin, N.V. Erkaev, V.S. Semenov, A.V. Artemyev, V.V. Ivanova, I.B. Ivanov, G. Lapenta, S. Markidis, H.K. Biernat, The double-gradient magnetic instability: stabilizing effect of the guide field. Phys. Plasmas 22(1), 012904 (2015). doi:10.1063/1.4905706
D.A. Kozlov, A.S. Leonovich, Polarization splitting of the Alfvén wave spectrum in a dipole magnetosphere with a rotating plasma. Plasma Phys. Rep. 32, 765–774 (2006). doi:10.1134/S1063780X06090078
S. Krishna Prasad, D. Banerjee, T. Van Doorsselaere, J. Singh, Omnipresent long-period intensity oscillations in open coronal structures. Astron. Astrophys. 546, 50 (2012). doi:10.1051/0004-6361/201219885
S. Krishna Prasad, D. Banerjee, T. Van Doorsselaere, Frequency-dependent damping in propagating slow magneto-acoustic waves. Astrophys. J. 789, 118 (2014). doi:10.1088/0004-637X/789/2/118
E.G. Kupriyanova, V.F. Melnikov, V.M. Nakariakov, K. Shibasaki, Types of microwave quasi-periodic pulsations in single flaring loops. Sol. Phys. 267, 329–342 (2010). doi:10.1007/s11207-010-9642-0
E.G. Kupriyanova, V.F. Melnikov, K. Shibasaki, Evolution of the source of quasi-periodic microwave pulsations in a single flaring loop. Publ. Astron. Soc. Jpn. 65, 3 (2013). doi:10.1093/pasj/65.sp1.S3
N.A. Kurazhkovskaya, B.I. Klain, Effect of the solar wind and IMF parameters on the formation of long-period irregular pulsation burst regimes. Geomagn. Aeron. 52, 456–466 (2012). doi:10.1134/S001679321204010X
R.-Y. Kwon, L. Ofman, O. Olmedo, M. Kramar, J.M. Davila, B.J. Thompson, K.-S. Cho, STEREO observations of fast magnetosonic waves in the extended solar corona associated with EIT/EUV waves. Astrophys. J. 766, 55 (2013). doi:10.1088/0004-637X/766/1/55
N. Labrosse, P. Heinzel, J.-C. Vial, T. Kucera, S. Parenti, S. Gunár, B. Schmieder, G. Kilper, Physics of solar prominences: spectral diagnostics and non-LTE modelling. Space Sci. Rev. 151, 243–332 (2010). doi:10.1007/s11214-010-9630-6
O. Le Contel, R. Pellat, A. Roux, Self-consistent quasi-static radial transport during the substorm growth phase. J. Geophys. Res. 105, 12929–12944 (2000). doi:10.1029/1999JA900498
D.-H. Lee, K. Kim, Compressional MHD waves in the magnetosphere: a new approach. J. Geophys. Res. 104, 12379–12386 (1999). doi:10.1029/1999JA900053
L.C. Lee, R.K. Albano, J.R. Kan, Kelvin-Helmholtz instability in the magnetopause-boundary layer region. J. Geophys. Res. 86, 54–58 (1981). doi:10.1029/JA086iA01p00054
L.C. Lee, Y. Shi, L.J. Lanzerotti, A mechanism for the generation of cusp region hydromagnetic waves. J. Geophys. Res. Space Phys. 93(A7), 7578–7585 (1988). doi:10.1029/JA093iA07p07578
J. Lemaire, Plasmoid motion across a tangential discontinuity—with application to the magnetopause. J. Plasma Phys. 33, 425–436 (1985). doi:10.1017/S0022377800002592
J.R. Lemen, A.M. Title, D.J. Akin, P.F. Boerner, C. Chou, J.F. Drake, D.W. Duncan, C.G. Edwards, F.M. Friedlaender, G.F. Heyman, N.E. Hurlburt, N.L. Katz, G.D. Kushner, M. Levay, R.W. Lindgren, D.P. Mathur, E.L. McFeaters, S. Mitchell, R.A. Rehse, C.J. Schrijver, L.A. Springer, R.A. Stern, T.D. Tarbell, J.-P. Wuelser, C.J. Wolfson, C. Yanari, J.A. Bookbinder, P.N. Cheimets, D. Caldwell, E.E. Deluca, R. Gates, L. Golub, S. Park, W.A. Podgorski, R.I. Bush, P.H. Scherrer, M.A. Gummin, P. Smith, G. Auker, P. Jerram, P. Pool, R. Soufli, D.L. Windt, S. Beardsley, M. Clapp, J. Lang, N. Waltham, The Atmospheric Imaging Assembly (AIA) on the Solar Dynamics Observatory (SDO). Sol. Phys. 275, 17–40 (2012). doi:10.1007/s11207-011-9776-8
A.S. Leonovich, V.A. Mazur, Linear transformation of the standing Alfvén wave in an axisymmetric magnetosphere. Planet. Space Sci. 43, 885–893 (1995a). doi:10.1016/0032-0633(94)00207-8
A.S. Leonovich, V.A. Mazur, Magnetospheric resonator for transverse-small-scale standing Alfvén waves. Planet. Space Sci. 43, 881–883 (1995b). doi:10.1016/0032-0633(94)00206-7
A.S. Leonovich, V.A. Mazur, On the spectrum of magnetosonic eigenoscillations of an axisymmetric magnetosphere. J. Geophys. Res. 106, 3919–3928 (2001). doi:10.1029/2000JA000228
A.S. Leonovich, V.A. Mazur, Eigen ultra-low-frequency magnetosonic oscillations of the near plasma sheet. Cosm. Res. 46, 327–334 (2008). doi:10.1134/S0010952508040072
A.S. Leonovich, V.V. Mishin, J.B. Cao, Penetration of magnetosonic waves into the magnetosphere: influence of a transition layer. Ann. Geophys. 21, 1083–1093 (2003). doi:10.5194/angeo-21-1083-2003
A.S. Leonovich, D.A. Kozlov, V.A. Pilipenko, Magnetosonic resonance in a dipole-like magnetosphere. Ann. Geophys. 24, 2277–2289 (2006). doi:10.5194/angeo-24-2277-2006
B. Leroy, Propagation of waves in an atmosphere in the presence of a magnetic field. II. The reflection of Alfvén waves. Astron. Astrophys. 91, 136–146 (1980)
M.R. Lessard, D.J. Knudsen, Ionospheric reflection of small-scale Alfvén waves. Geophys. Res. Lett. 28, 3573–3576 (2001). doi:10.1029/2000GL012529
W.Y. Li, X.C. Guo, C. Wang, Spatial distribution of Kelvin-Helmholtz instability at low-latitude boundary layer under different solar wind speed conditions. J. Geophys. Res. Space Phys. 117, 8230 (2012). doi:10.1029/2012JA017780
Y. Lin, Filament thread-like structures and their small-amplitude oscillations. Space Sci. Rev. 158, 237–266 (2011). doi:10.1007/s11214-010-9672-9
Y. Lin, R. Soler, O. Engvold, J.L. Ballester, Ø. Langangen, R. Oliver, L.H.M. Rouppe van der Voort, Swaying threads of a solar filament. Astrophys. J. 704, 870–876 (2009). doi:10.1088/0004-637X/704/1/870
W. Liu, L. Ofman, Advances in observing various coronal EUV waves in the SDO Era and their seismological applications (Invited Review). Sol. Phys. 289, 3233–3277 (2014). doi:10.1007/s11207-014-0528-4
W. Liu, A.M. Title, J. Zhao, L. Ofman, C.J. Schrijver, M.J. Aschwanden, B. De Pontieu, T.D. Tarbell, Direct imaging of quasi-periodic fast propagating waves of \(\sim2000~\mbox{km}\,\mbox{s}^{-1}\) in the low solar corona by the solar dynamics observatory atmospheric imaging assembly. Astrophys. J. Lett. 736, 13 (2011). doi:10.1088/2041-8205/736/1/L13
D.M. Long, P.T. Gallagher, R.T.J. McAteer, D.S. Bloomfield, Deceleration and dispersion of large-scale coronal bright fronts. Astron. Astrophys. 531, 42 (2011). doi:10.1051/0004-6361/201015879
N.F. Loureiro, A.A. Schekochihin, S.C. Cowley, Instability of current sheets and formation of plasmoid chains. Phys. Plasmas 14(10), 100703 (2007). doi:10.1063/1.2783986
V.I. Lukovnikova, V.A. Parkhomov, Geomagnetic pulsations associated with chromospheric flares. Geofiz. ž. 6, 52–58 (1984)
P.M. Lushnikov, Two mechanisms of surface wave generation: Kelvin-Helmholtz and Miles instabilities. Atmos. Ocean. Phys. 34, 370–377 (1998)
R.L. Lysak, Feedback instability of the ionospheric resonant cavity. J. Geophys. Res. 96, 1553–1568 (1991). doi:10.1029/90JA02154
R.L. Lysak, C.T. Dum, Dynamics of magnetosphere-ionosphere coupling including turbulent transport. J. Geophys. Res. Space Phys. 88, 365–380 (1983a). doi:10.1029/JA088iA01p00365
R.L. Lysak, C.T. Dum, Dynamics of magnetosphere-ionosphere coupling including turbulent transport. J. Geophys. Res. 88, 365–380 (1983b). doi:10.1029/JA088iA01p00365
R.L. Lysak, D.-H. Lee, Response of the dipole magnetosphere to pressure pulses. Geophys. Res. Lett. 19, 937–940 (1992). doi:10.1029/92GL00625
P.N. Mager, D.Y. Klimushkin, Theory of azimuthally small-scale Alfvén waves in an axisymmetric magnetosphere with small but finite plasma pressure. J. Geophys. Res. Space Phys. 107, 1356 (2002). doi:10.1029/2001JA009137
P.N. Mager, D.Y. Klimushkin, Spatial localization and azimuthal wave numbers of Alfvén waves generated by drift-bounce resonance in the magnetosphere. Ann. Geophys. 23, 3775–3784 (2005). doi:10.5194/angeo-23-3775-2005
P.N. Mager, D.Y. Klimushkin, Alfvén ship waves: high-m ULF pulsations in the magnetosphere generated by a moving plasma inhomogeneity. Ann. Geophys. 26, 1653–1663 (2008). doi:10.5194/angeo-26-1653-2008
P.N. Mager, Y.D. Klimushkin, Giant pulsations as modes of a transverse Alfvénic resonator on the plasmapause. Earth Planets Space 65, 397–409 (2013). doi:10.5047/eps.2012.10.002
P.N. Mager, D.Y. Klimushkin, V.A. Pilipenko, S. Schäfer, Field-aligned structure of poloidal Alfvén waves in a finite pressure plasma. Ann. Geophys. 27, 3875–3882 (2009). doi:10.5194/angeo-27-3875-2009
P.N. Mager, D.Y. Klimushkin, D.V. Kostarev, Drift-compressional modes generated by inverted plasma distributions in the magnetosphere. J. Geophys. Res. Space Phys. 118, 4915–4923 (2013). doi:10.1002/jgra.50471
A. Malanushenko, C.J. Schrijver, On the anisotropy in expansion of magnetic flux tubes in the solar corona. Astrophys. J. 775, 120 (2013). doi:10.1088/0004-637X/775/2/120
J. Martínez-Sykora, B. De Pontieu, V. Hansteen, Two-dimensional radiative magnetohydrodynamic simulations of the importance of partial ionization in the chromosphere. Astrophys. J. 753, 161 (2012). doi:10.1088/0004-637X/753/2/161
M. Mathioudakis, D.B. Jess, R. Erdélyi, Alfvén waves in the solar atmosphere. From theory to observations. Space Sci. Rev. 175, 1–27 (2013). doi:10.1007/s11214-012-9944-7
V.A. Mazur, D.A. Chuiko, Azimuthal inhomogeneity in the MHD waveguide in the outer magnetosphere. J. Geophys. Res. Space Phys. 120, 4641–4655 (2015). doi:10.1002/2014JA020819
V.A. Mazur, A.S. Leonovich, ULF hydromagnetic oscillations with the discrete spectrum as eigenmodes of MHD-resonator in the near-Earth part of the plasma sheet. Ann. Geophys. 24, 1639–1648 (2006). doi:10.5194/angeo-24-1639-2006
N.G. Mazur, E.N. Fedorov, V.A. Pilipenko, On the possibility of reflection of Alfvén waves in a curvilinear magnetic field. Plasma Phys. Rep. 30, 413–421 (2004)
S.W. McIntosh, B. de Pontieu, M. Carlsson, V. Hansteen, P. Boerner, M. Goossens, Alfvénic waves with sufficient energy to power the quiet solar corona and fast solar wind. Nature 475, 477–480 (2011). doi:10.1038/nature10235
J.A. McLaughlin, A.W. Hood, MHD wave propagation in the neighbourhood of a two-dimensional null point. Astron. Astrophys. 420, 1129–1140 (2004). doi:10.1051/0004-6361:20035900
J.A. McLaughlin, L. Ofman, Three-dimensional magnetohydrodynamic wave behavior in active regions: individual loop density structure. Astrophys. J. 682, 1338–1350 (2008). doi:10.1086/588799
J.A. McLaughlin, J.O. Thurgood, D. MacTaggart, On the periodicity of oscillatory reconnection. Astron. Astrophys. 548, 98 (2012). doi:10.1051/0004-6361/201220234
V.F. Melnikov, V.E. Reznikova, K. Shibasaki, V.M. Nakariakov, Spatially resolved microwave pulsations of a flare loop. Astron. Astrophys. 439, 727–736 (2005). doi:10.1051/0004-6361:20052774
V.F. Melnikov, D.E. Gary, G.M. Nita, Peak frequency dynamics in solar microwave bursts. Sol. Phys. 253, 43–73 (2008). doi:10.1007/s11207-008-9275-8
F.W. Menk, C.L. Waters, Magnetoseismology. Ground-Based Remote Sensing of Earth’s Magnetosphere (VCH, Weinheim, 2013), p. 251. 978-3-527-41027-9
V.G. Merkin, J.G. Lyon, S.G. Claudepierre, Kelvin-Helmholtz instability of the magnetospheric boundary in a three-dimensional global MHD simulation during northward IMF conditions. J. Geophys. Res. Space Phys. 118, 5478–5496 (2013). doi:10.1002/jgra.50520
H. Mészárosová, M. Karlický, J. Rybák, K. Jiřička, Tadpoles in wavelet spectra of a solar decimetric radio burst. Astrophys. J. Lett. 697, 108–110 (2009). doi:10.1088/0004-637X/697/2/L108
H. Mészárosová, M. Karlický, P. Jelínek, J. Rybák, Magnetoacoustic waves propagating along a dense slab and Harris current sheet and their wavelet spectra. Astrophys. J. 788, 44 (2014). doi:10.1088/0004-637X/788/1/44
V.V. Mishin, Velocity boundary layers in the distant geotail and the Kelvin Helmholtz instability. Planet. Space Sci. 53, 157–160 (2005). doi:10.1016/j.pss.2004.09.040
A.P. Mitra (ed.), in Ionospheric Effects of Solar Flares. Astrophysics and Space Science Library, vol. 46 (1974)
A. Miura, P.L. Pritchett, Nonlocal stability analysis of the MHD Kelvin-Helmholtz instability in a compressible plasma. J. Geophys. Res. 87, 7431–7444 (1982). doi:10.1029/JA087iA09p07431
G.E. Moreton, \(\mbox{H}{\alpha}\) observations of flare-initiated disturbances with velocities \(\sim1000~\mbox{km}/\mbox{sec}\). Astron. J. 65, 494 (1960). doi:10.1086/108346
R.J. Morton, J.A. McLaughlin, Hi-C and AIA observations of transverse magnetohydrodynamic waves in active regions. Astron. Astrophys. 553, 10 (2013). doi:10.1051/0004-6361/201321465
R.J. Morton, G. Verth, J.A. McLaughlin, R. Erdélyi, Determination of sub-resolution structure of a jet by solar magnetoseismology. Astrophys. J. 744, 5 (2012). doi:10.1088/0004-637X/744/1/5
G. Mossessian, G.D. Fleishman, Modeling of gyrosynchrotron radio emission pulsations produced by magnetohydrodynamic loop oscillations in solar flares. Astrophys. J. 748, 140 (2012). doi:10.1088/0004-637X/748/2/140
D.A.N. Müller, H. Peter, V.H. Hansteen, Dynamics of solar coronal loops. II. Catastrophic cooling and high-speed downflows. Astron. Astrophys. 424, 289–300 (2004). doi:10.1051/0004-6361:20040403
V.M. Nakariakov, Magnetohydrodynamic waves in coronal polar plumes. Philos. Trans. R. Soc. Lond. Ser. A 364, 473–483 (2006). doi:10.1098/rsta.2005.1711
V.M. Nakariakov, V.F. Melnikov, Modulation of gyrosynchrotron emission in solar and stellar flares by slow magnetoacoustic oscillations. Astron. Astrophys. 446, 1151–1156 (2006). doi:10.1051/0004-6361:20053944
V.M. Nakariakov, V.F. Melnikov, Quasi-periodic pulsations in solar flares. Space Sci. Rev. 149, 119–151 (2009). doi:10.1007/s11214-009-9536-3
V.M. Nakariakov, E. Verwichte, Coronal waves and oscillations. Living Rev. Sol. Phys. 2, 3 (2005). doi:10.12942/lrsp-2005-3
V.M. Nakariakov, I.V. Zimovets, Slow magnetoacoustic waves in two-ribbon flares. Astrophys. J. Lett. 730, 27 (2011). doi:10.1088/2041-8205/730/2/L27
V.M. Nakariakov, L. Ofman, E.E. Deluca, B. Roberts, J.M. Davila, TRACE observation of damped coronal loop oscillations: implications for coronal heating. Science 285, 862–864 (1999). doi:10.1126/science.285.5429.862
V.M. Nakariakov, E. Verwichte, D. Berghmans, E. Robbrecht, Slow magnetoacoustic waves in coronal loops. Astron. Astrophys. 362, 1151–1157 (2000)
V.M. Nakariakov, V.F. Melnikov, V.E. Reznikova, Global sausage modes of coronal loops. Astron. Astrophys. 412, 7–10 (2003). doi:10.1051/0004-6361:20031660
V.M. Nakariakov, D. Tsiklauri, A. Kelly, T.D. Arber, M.J. Aschwanden, Acoustic oscillations in solar and stellar flaring loops. Astron. Astrophys. 414, 25–28 (2004a). doi:10.1051/0004-6361:20031738
V.M. Nakariakov, T.D. Arber, C.E. Ault, A.C. Katsiyannis, D.R. Williams, F.P. Keenan, Time signatures of impulsively generated coronal fast wave trains. Mon. Not. R. Astron. Soc. 349, 705–709 (2004b). doi:10.1111/j.1365-2966.2004.07537.x
V.M. Nakariakov, D.J. Pascoe, T.D. Arber, Short quasi-periodic MHD waves in coronal structures. Space Sci. Rev. 121, 115–125 (2005). doi:10.1007/s11214-006-4718-8
V.M. Nakariakov, C. Foullon, E. Verwichte, N.P. Young, Quasi-periodic modulation of solar and stellar flaring emission by magnetohydrodynamic oscillations in a nearby loop. Astron. Astrophys. 452, 343–346 (2006). doi:10.1051/0004-6361:20054608
V.M. Nakariakov, M.J. Aschwanden, T. van Doorsselaere, The possible role of vortex shedding in the excitation of kink-mode oscillations in the solar corona. Astron. Astrophys. 502, 661–664 (2009). doi:10.1051/0004-6361/200810847
V.M. Nakariakov, A.R. Inglis, I.V. Zimovets, C. Foullon, E. Verwichte, R. Sych, I.N. Myagkova, Oscillatory processes in solar flares. Plasma Phys. Control. Fusion 52(12), 124009 (2010a). doi:10.1088/0741-3335/52/12/124009
V.M. Nakariakov, C. Foullon, I.N. Myagkova, A.R. Inglis, Quasi-periodic pulsations in the gamma-ray emission of a solar flare. Astrophys. J. Lett. 708, 47–51 (2010b). doi:10.1088/2041-8205/708/1/L47
V.M. Nakariakov, C. Hornsey, V.F. Melnikov, Sausage oscillations of coronal plasma structures. Astrophys. J. 761, 134 (2012). doi:10.1088/0004-637X/761/2/134
P.H. Ng, V.L. Patel, S. Chen, Drift compressional instability in the magnetosphere. J. Geophys. Res. 89, 10763–10769 (1984). doi:10.1029/JA089iA12p10763
Z. Ning, Imaging observations of X-ray quasi-periodic oscillations at 3–6 keV in the 26 December 2002 solar flare. Sol. Phys. 289, 1239–1256 (2014). doi:10.1007/s11207-013-0405-6
M.N. Nishino, M. Fujimoto, G. Ueno, T. Mukai, Y. Saito, Origin of temperature anisotropies in the cold plasma sheet: geotail observations around the Kelvin-Helmholtz vortices. Ann. Geophys. 25, 2069–2086 (2007). doi:10.5194/angeo-25-2069-2007
G. Nisticò, V.M. Nakariakov, E. Verwichte, Decaying and decayless transverse oscillations of a coronal loop. Astron. Astrophys. 552, 57 (2013). doi:10.1051/0004-6361/201220676
G. Nisticò, D.J. Pascoe, V.M. Nakariakov, Observation of a high-quality quasi-periodic rapidly propagating wave train using SDO/AIA. Astron. Astrophys. 569, 12 (2014). doi:10.1051/0004-6361/201423763
L. Ofman, Chromospheric leakage of Alfvén waves in coronal loops. Astrophys. J. Lett. 568, 135–138 (2002). doi:10.1086/340329
L. Ofman, Progress, challenges, and perspectives of the 3D MHD numerical modeling of oscillations in the solar corona. Space Sci. Rev. 149, 153–174 (2009a). doi:10.1007/s11214-009-9501-1
L. Ofman, Three-dimensional magnetohydrodynamic models of twisted multithreaded coronal loop oscillations. Astrophys. J. 694, 502–511 (2009b). doi:10.1088/0004-637X/694/1/502
L. Ofman, Wave modeling of the solar wind. Living Rev. Sol. Phys. 7, 4 (2010). doi:10.12942/lrsp-2010-4
L. Ofman, M.J. Aschwanden, Damping time scaling of coronal loop oscillations deduced from transition region and coronal explorer observations. Astrophys. J. Lett. 576, 153–156 (2002). doi:10.1086/343886
L. Ofman, L. Sui, Oscillations of hard X-ray flare emission observed by RHESSI: effects of super-Alfvénic beams? Astrophys. J. Lett. 644, 149–152 (2006). doi:10.1086/505622
L. Ofman, B.J. Thompson, Interaction of EIT waves with coronal active regions. Astrophys. J. 574, 440–452 (2002). doi:10.1086/340924
L. Ofman, B.J. Thompson, SDO/AIA observation of Kelvin-Helmholtz instability in the solar corona. Astrophys. J. Lett. 734, 11 (2011). doi:10.1088/2041-8205/734/1/L11
L. Ofman, T. Wang, Hot coronal loop oscillations observed by SUMER: slow magnetosonic wave damping by thermal conduction. Astrophys. J. Lett. 580, 85–88 (2002). doi:10.1086/345548
L. Ofman, J.M. Davila, R.S. Steinolfson, Coronal heating by the resonant absorption of Alfvén waves: the effect of viscous stress tensor. Astrophys. J. 421, 360–371 (1994). doi:10.1086/173654
L. Ofman, J.M. Davila, R.S. Steinolfson, Coronal heating by the resonant absorption of Alfvén waves: wavenumber scaling laws. Astrophys. J. 444, 471–477 (1995). doi:10.1086/175621
L. Ofman, M. Romoli, G. Poletto, G. Noci, J.L. Kohl, Ultraviolet coronagraph spectrometer observations of density fluctuations in the solar wind. Astrophys. J. Lett. 491, 111–114 (1997). doi:10.1086/311067
L. Ofman, V.M. Nakariakov, C.E. DeForest, Slow magnetosonic waves in coronal plumes. Astrophys. J. 514, 441–447 (1999). doi:10.1086/306944
L. Ofman, V.M. Nakariakov, N. Sehgal, Dissipation of slow magnetosonic waves in coronal plumes. Astrophys. J. 533, 1071–1083 (2000). doi:10.1086/308691
L. Ofman, W. Liu, A. Title, M. Aschwanden, Modeling super-fast magnetosonic waves observed by SDO in active region funnels. Astrophys. J. Lett. 740, 33 (2011). doi:10.1088/2041-8205/740/2/L33
L. Ofman, T.J. Wang, J.M. Davila, Slow magnetosonic waves and fast flows in active region loops. Astrophys. J. 754, 111 (2012). doi:10.1088/0004-637X/754/2/111
R. Oliver, J.L. Ballester, Oscillations in quiescent solar prominences observations and theory (Invited Review). Sol. Phys. 206, 45–67 (2002). doi:10.1023/A:1014915428440
A.A. Ostapenko, S.V. Poliakov, Dynamics of the coefficient of reflection of Alfvén waves in the Pc1 range from the ionosphere during variations of the electron density of the lower ionosphere. Geomagn. Aeron. 30, 50–56 (1990)
S. Parenti, Solar prominences: observations. Living Rev. Sol. Phys. 11, 1 (2014). doi:10.12942/lrsp-2014-1
V.A. Parkhomov, A.V. Moldavanov, B. Tsegmed, On two different geomagnetic manifestations of solar flare November 4, 2003. J. Atmos. Sol.-Terr. Phys. 68, 1370–1382 (2006). doi:10.1016/j.jastp.2006.05.002
V.A. Parkhomov, A.V. Dmitriev, A.V. Moldavanov, Unusual sudden ionospheric disturbance from solar flare of 4 November 2003. J. Atmos. Sol.-Terr. Phys. 70, 1963–1970 (2008). doi:10.1016/j.jastp.2008.03.011
D.J. Pascoe, V.M. Nakariakov, E.G. Kupriyanova, Fast magnetoacoustic wave trains in magnetic funnels of the solar corona. Astron. Astrophys. 560, 97 (2013a). doi:10.1051/0004-6361/201322678
D.J. Pascoe, A.W. Hood, I. De Moortel, A.N. Wright, Damping of kink waves by mode coupling. II. Parametric study and seismology. Astron. Astrophys. 551, 40 (2013b). doi:10.1051/0004-6361/201220620
S. Patsourakos, A. Vourlidas, “Extreme Ultraviolet Waves” are waves: first quadrature observations of an extreme ultraviolet wave from STEREO. Astrophys. J. Lett. 700, 182–186 (2009). doi:10.1088/0004-637X/700/2/L182
S. Patsourakos, A. Vourlidas, On the nature and genesis of EUV waves: a synthesis of observations from SOHO, STEREO, SDO, and Hinode (Invited Review). Sol. Phys. 281, 187–222 (2012). doi:10.1007/s11207-012-9988-6
H. Peter, S. Bingert, Constant cross section of loops in the solar corona. Astron. Astrophys. 548, 1 (2012). doi:10.1051/0004-6361/201219473
A. Petrosyan, A. Balogh, M.L. Goldstein, J. Léorat, E. Marsch, K. Petrovay, B. Roberts, R. von Steiger, J.C. Vial, Turbulence in the solar atmosphere and solar wind. Space Sci. Rev. 156, 135–238 (2010). doi:10.1007/s11214-010-9694-3
V.A. Pilipenko, E.N. Fedorov, M.J. Engebretson, Alfvén resonator in the topside ionosphere beneath the auroral acceleration region. J. Geophys. Res. 107(A9) (2002). doi:10.1029/2002JA009282
V.A. Pilipenko, N.G. Mazur, E.N. Fedorov, M.J. Engebretson, Interaction of propagating magnetosonic and Alfvén waves in a longitudinally inhomogeneous plasma. J. Geophys. Res. 113, 8218 (2008). doi:10.1029/2007JA012651
F. Plaschke, V. Angelopoulos, K.-H. Glassmeier, Magnetopause surface waves: THEMIS observations compared to MHD theory. J. Geophys. Res. Space Phys. 118, 1483–1499 (2013). doi:10.1002/jgra.50147
J.J. Podesta, Evidence of kinetic Alfvén waves in the solar wind at 1 AU. Sol. Phys. 286, 529–548 (2013). doi:10.1007/s11207-013-0258-z
S. Poedts, M. Goossens, W. Kerner, Numerical simulation of coronal heating by resonant absorption of Alfvén waves. Sol. Phys. 123, 83–115 (1989). doi:10.1007/BF00150014
S. Poedts, M. Goossens, W. Kerner, On the efficiency of coronal loop heating by resonant absorption. Astrophys. J. 360, 279–287 (1990). doi:10.1086/169118
O.A. Pokhotelov, M.A. Balikhin, H.S.-C.K. Alleyne, O.G. Onishchenko, Mirror instability with finite electron temperature effects. J. Geophys. Res. 105, 2393–2402 (2000). doi:10.1029/1999JA900351
O.A. Pokhotelov, V. Khruschev, M. Parrot, S. Senchenkov, V.P. Pavlenko, Ionospheric Alfvén resonator revisited: feedback instability. J. Geophys. Res. 106, 25813–25824 (2001). doi:10.1029/2000JA000450
P. Porazik, Z. Lin, Gyrokinetic particle simulation of drift-compressional modes in dipole geometry. Phys. Plasmas 18(7), 072107 (2011). doi:10.1063/1.3605031
A.S. Potapov, ULF wave activity in high-speed streams of the solar wind: impact on the magnetosphere. J. Geophys. Res. Space Phys. 118, 6465–6477 (2013). doi:10.1002/2013JA019119
A.S. Potapov, T.N. Polyushkina, V.A. Pulyaev, Observations of ULF waves in the solar corona and in the solar wind at the Earth’s orbit. J. Atmos. Sol.-Terr. Phys. 102, 235–242 (2013). doi:10.1016/j.jastp.2013.06.001
I.A. Price, C.L. Waters, F.W. Menk, G.J. Bailey, B.J. Fraser, A technique to investigate plasma mass density in the topside ionosphere using ULF waves. J. Geophys. Res. 104, 12723–12732 (1999). doi:10.1029/1999JA900042
Z.-y. Pu, M.G. Kivelson, Kelvin-Helmholtz instability at the magnetopause: energy flux into the magnetosphere. J. Geophys. Res. 88, 853–862 (1983). doi:10.1029/JA088iA02p00853
I.J. Rae, I.R. Mann, C.E.J. Watt, L.M. Kistler, W. Baumjohann, Equator-S observations of drift mirror mode waves in the dawnside magnetosphere. J. Geophys. Res. 112, 11203 (2007). doi:10.1029/2006JA012064
I.J. Rae, K.R. Murphy, C.E.J. Watt, G. Rostoker, R. Rankin, I.R. Mann, C.R. Hodgson, H.U. Frey, A.W. Degeling, C. Forsyth, Field line resonances as a trigger and a tracer for substorm onset. J. Geophys. Res. Space Phys. 119, 5343–5363 (2014). doi:10.1002/2013JA018889
F. Reale, Coronal loops: observations and modeling of confined plasma. Living Rev. Sol. Phys. 11, 4 (2014). doi:10.12942/lrsp-2014-4
H.A.S. Reid, N. Vilmer, E.P. Kontar, Characteristics of the flare acceleration region derived from simultaneous hard X-ray and radio observations. Astron. Astrophys. 529, 66 (2011). doi:10.1051/0004-6361/201016181
V.E. Reznikova, P. Antolin, T. Van Doorsselaere, Forward modeling of gyrosynchrotron intensity perturbations by sausage modes. Astrophys. J. 785, 86 (2014). doi:10.1088/0004-637X/785/2/86
E. Robbrecht, E. Verwichte, D. Berghmans, J.F. Hochedez, S. Poedts, V.M. Nakariakov, Slow magnetoacoustic waves in coronal loops: EIT and TRACE. Astron. Astrophys. 370, 591–601 (2001). doi:10.1051/0004-6361:20010226
B. Roberts, Slow magnetohydrodynamic waves in the solar atmosphere. Philos. Trans. R. Soc. Lond. Ser. A 364, 447–460 (2006). doi:10.1098/rsta.2005.1709
B. Roberts, P.M. Edwin, A.O. Benz, Fast pulsations in the solar corona. Nature 305, 688–690 (1983). doi:10.1038/305688a0
M.S. Ruderman, B. Roberts, The damping of coronal loop oscillations. Astrophys. J. 577, 475–486 (2002)
C.T. Russell, R.C. Elphic, ISEE observations of flux transfer events at the dayside magnetopause. Geophys. Res. Lett. 6, 33–36 (1979). doi:10.1029/GL006i001p00033
A.J.B. Russell, L. Fletcher, Propagation of Alfvénic waves from corona to chromosphere and consequences for solar flares. Astrophys. J. 765, 81 (2013). doi:10.1088/0004-637X/765/2/81
T. Sakurai, M. Goossens, J.V. Hollweg, Resonant behaviour of MHD waves on magnetic flux tubes. I. Connection formulae at the resonant surfaces. Sol. Phys. 133, 227–245 (1991)
J.C. Samson, B.G. Harrold, J.M. Ruohoniemi, R.A. Greenwald, A.D.M. Walker, Field line resonances associated with MHD waveguides in the magnetosphere. Geophys. Res. Lett. 19, 441–444 (1992). doi:10.1029/92GL00116
S. Schäfer, K.H. Glassmeier, P.T.I. Eriksson, P.N. Mager, V. Pierrard, K.H. Fornaçon, L.G. Blomberg, Spatio-temporal structure of a poloidal Alfvén wave detected by Cluster adjacent to the dayside plasmapause. Ann. Geophys. 26, 1805–1817 (2008). doi:10.5194/angeo-26-1805-2008
A. Schekotov, V. Pilipenko, K. Shiokawa, E. Fedorov, ULF impulsive magnetic response at mid-latitudes to lightning activity. Earth Planets Space 63, 119–128 (2011). doi:10.5047/eps.2010.12.009
J.M. Schmidt, L. Ofman, Global simulation of an extreme ultraviolet imaging telescope wave. Astrophys. J. 713, 1008–1015 (2010). doi:10.1088/0004-637X/713/2/1008
C.J. Schrijver, D.S. Brown, Oscillations in the magnetic field of the solar corona in response to flares near the photosphere. Astrophys. J. Lett. 537, 69–72 (2000). doi:10.1086/312753
M. Selwa, L. Ofman, K. Murawski, Numerical simulations of slow standing waves in a curved solar coronal loop. Astrophys. J. Lett. 668, 83–86 (2007). doi:10.1086/522602
M. Selwa, S.K. Solanki, L. Ofman, The role of active region loop geometry. II. Symmetry breaking in three-dimensional active region: why are vertical kink oscillations observed so rarely? Astrophys. J. 728, 87 (2011). doi:10.1088/0004-637X/728/2/87
R.P. Sharma, N. Yadav, N. Pathak, Role of 3d-dispersive Alfvén waves in coronal heating. Astrophys. Space Sci. 351, 75–80 (2014). doi:10.1007/s10509-014-1845-7
K. Shibasaki, High-beta disruption in the solar atmosphere. Astrophys. J. 557, 326–331 (2001). doi:10.1086/321651
K. Shibata, T. Magara, Solar flares: magnetohydrodynamic processes. Living Rev. Sol. Phys. 8, 6 (2011). doi:10.12942/lrsp-2011-6
D.G. Sibeck, G. Korotova, D.L. Turner, V. Angelopoulos, K.-H. Glaßmeier, J.P. McFadden, Frequency doubling and field-aligned ion streaming in a long-period poloidal pulsation. J. Geophys. Res. Space Phys. 117, 11215 (2012). doi:10.1029/2011JA017473
R. Soler, R. Oliver, J.L. Ballester, Magnetohydrodynamic waves in a partially ionized filament thread. Astrophys. J. 699, 1553–1562 (2009). doi:10.1088/0004-637X/699/2/1553
R. Soler, R. Oliver, J.L. Ballester, Spatial damping of propagating kink waves in prominence threads. Astrophys. J. 726, 102 (2011). doi:10.1088/0004-637X/726/2/102
R. Soler, J. Andries, M. Goossens, Resonant Alfvén waves in partially ionized plasmas of the solar atmosphere. Astron. Astrophys. 537, 84 (2012). doi:10.1051/0004-6361/201118235
R. Soler, M. Goossens, J. Terradas, R. Oliver, The behavior of transverse waves in nonuniform solar flux tubes. I. Comparison of ideal and resistive results. Astrophys. J. 777, 158 (2013). doi:10.1088/0004-637X/777/2/158
D.J. Southwood, Some features of field line resonances in the magnetosphere. Planet. Space Sci. 22, 483–491 (1974). doi:10.1016/0032-0633(74)90078-6
D.J. Southwood, M.A. Saunders, Curvature coupling of slow and Alfvén MHD waves in a magnetotail field configuration. Planet. Space Sci. 33, 127–134 (1985). doi:10.1016/0032-0633(85)90149-7
K. Stasiewicz, P. Bellan, C. Chaston, C. Kletzing, R. Lysak, J. Maggs, O. Pokhotelov, C. Seyler, P. Shukla, L. Stenflo, A. Streltsov, J.-E. Wahlund, Small scale Alfvénic structure in the Aurora. Space Sci. Rev. 92, 423–533 (2000)
R.S. Steinolfson, J.M. Davila, Coronal heating by the resonant absorption of Alfvén waves—importance of the global mode and scaling laws. Astrophys. J. 415, 354–363 (1993). doi:10.1086/173169
A.V. Stepanov, V.V. Zaitsev, Quasi-periodic pulsations and diagnostics of flaring plasma. Geomagn. Aeron. 54, 969–981 (2014). doi:10.1134/S0016793214080167
A.V. Stepanov, V.V. Zaitsev, V.M. Nakariakov, Coronal seismology. Phys. Usp. 55(27), 4 (2012). doi:10.3367/UFNe.0182.201209f.0999
V.V. Surkov, M. Hayakawa, Ultra and Extremely Low Frequency Electromagnetic Fields (Springer, Tokyo, 2014). doi:10.1007/978-4-431-54367-1
R. Sych, V.M. Nakariakov, M. Karlicky, S. Anfinogentov, Relationship between wave processes in sunspots and quasi-periodic pulsations in active region flares. Astron. Astrophys. 505, 791–799 (2009). doi:10.1051/0004-6361/200912132
T. Tajima, J. Sakai, H. Nakajima, T. Kosugi, F. Brunel, M.R. Kundu, Current loop coalescence model of solar flares. Astrophys. J. 321, 1031–1048 (1987). doi:10.1086/165694
K. Takahashi, A.Y. Ukhorskiy, Solar wind control of Pc5 pulsation power at geosynchronous orbit. J. Geophys. Res. Space Phys. 112, 11205 (2007). doi:10.1029/2007JA012483
K. Takahashi, K.-H. Glassmeier, V. Angelopoulos, J. Bonnell, Y. Nishimura, H.J. Singer, C.T. Russell, Multisatellite observations of a giant pulsation event. J. Geophys. Res. Space Phys. 116, 11223 (2011). doi:10.1029/2011JA016955
Y. Taroyan, R. Erdélyi, J.G. Doyle, S.J. Bradshaw, Footpoint excitation of standing acoustic waves in coronal loops. Astron. Astrophys. 438, 713–720 (2005). doi:10.1051/0004-6361:20052794
M.G.G.T. Taylor, H. Hasegawa, B. Lavraud, T. Phan, C.P. Escoubet, M.W. Dunlop, Y.V. Bogdanova, A.L. Borg, M. Volwerk, J. Berchem, O.D. Constantinescu, J.P. Eastwood, A. Masson, H. Laakso, J. Soucek, A.N. Fazakerley, H.U. Frey, E.V. Panov, C. Shen, J.K. Shi, D.G. Sibeck, Z.Y. Pu, J. Wang, J.A. Wild, Spatial distribution of rolled up kelvin-Helmholtz vortices at earth’s dayside and flank magnetopause. Ann. Geophys. 30(6), 1025–1035 (2012). doi:10.5194/angeo-30-1025-2012. http://www.ann-geophys.net/30/1025/2012/
J. Terradas, R. Molowny-Horas, E. Wiehr, H. Balthasar, R. Oliver, J.L. Ballester, Two-dimensional distribution of oscillations in a quiescent solar prominence. Astron. Astrophys. 393, 637–647 (2002). doi:10.1051/0004-6361:20020967
J. Terradas, R. Oliver, J.L. Ballester, On the excitation of trapped and leaky modes in coronal slabs. Astron. Astrophys. 441, 371–378 (2005). doi:10.1051/0004-6361:20053198
J. Terradas, J. Andries, M. Goossens, On the excitation of leaky modes in cylindrical loops. Sol. Phys. 246, 231–242 (2007). doi:10.1007/s11207-007-9067-6
J. Terradas, J. Andries, M. Goossens, I. Arregui, R. Oliver, J.L. Ballester, Nonlinear instability of kink oscillations due to shear motions. Astrophys. J. Lett. 687, 115–118 (2008a). doi:10.1086/593203
J. Terradas, I. Arregui, R. Oliver, J.L. Ballester, J. Andries, M. Goossens, Resonant absorption in complicated plasma configurations: applications to multistranded coronal loop oscillations. Astrophys. J. 679, 1611–1620 (2008b). doi:10.1086/586733
J. Terradas, M. Goossens, G. Verth, Selective spatial damping of propagating kink waves due to resonant absorption. Astron. Astrophys. 524, 23 (2010). doi:10.1051/0004-6361/201014845
B.J. Thompson, J.B. Gurman, W.M. Neupert, J.S. Newmark, J.-P. Delaboudinière, O.C. St. Cyr, S. Stezelberger, K.P. Dere, R.A. Howard, D.J. Michels, SOHO/EIT observations of the 1997 April 7 coronal transient: possible evidence of coronal Moreton waves. Astrophys. J. Lett. 517, 151–154 (1999). doi:10.1086/312030
D.J. Thomson, L.J. Lanzerotti, C.G. Maclennan, B. Heber, H. Kunow, R.E. Gold, Coherence of charged particle oscillations in the heliosphere (\(\mbox{f}\approx5~\upmu \mbox{Hz}\)): implications for a solar modulation source. J. Geophys. Res. 106, 29341–29354 (2001). doi:10.1029/2001JA000011
J. Threlfall, C.E. Parnell, I. De Moortel, K.G. McClements, T.D. Arber, Nonlinear wave propagation and reconnection at magnetic X-points in the Hall MHD regime. Astron. Astrophys. 544, 24 (2012). doi:10.1051/0004-6361/201219098
J. Threlfall, I. De Moortel, S.W. McIntosh, C. Bethge, First comparison of wave observations from CoMP and AIA/SDO. Astron. Astrophys. 556, 124 (2013). doi:10.1051/0004-6361/201321782
J.O. Thurgood, R.J. Morton, J.A. McLaughlin, First direct measurements of transverse waves in solar polar plumes using SDO/AIA. Astrophys. J. Lett. 790, 2 (2014). doi:10.1088/2041-8205/790/1/L2
V.T. Tikhonchuk, V.Y. Bychenkov, Effect of anomalous resistivity on MHD wave damping. J. Geophys. Res. 100, 9535–9538 (1995). doi:10.1029/95JA00520
S. Tomczyk, S.W. McIntosh, Time-distance seismology of the solar corona with CoMP. Astrophys. J. 697, 1384–1391 (2009). doi:10.1088/0004-637X/697/2/1384
S. Tomczyk, S.W. McIntosh, S.L. Keil, P.G. Judge, T. Schad, D.H. Seeley, J. Edmondson, Alfvén waves in the solar corona. Science 317, 1192 (2007). doi:10.1126/science.1143304
V.Y. Trakhtengertz, A.Y. Feldstein, About dissipation of Alfvén waves in the layer with anomalous resistance. Geomagn. Aeron. 25, 334–336 (1985)
V.A. Troitskaya, History of the study of upstream sources of ULF waves, in Geophysical Monograph, ed. by M.J. Engebretson, K. Takahashi, M. Scholer. Am, vol. 81 (Geophys, Union, Washington, 1994), p. 45
V.A. Troitskaya, A.V. Gul’elmi, Geomagnetic micropulsations and diagnostics of the magnetosphere. Space Sci. Rev. 7, 689–768 (1967). doi:10.1007/BF00542894
D. Tsiklauri, J.-I. Sakai, S. Saito, Particle-in-cell simulations of circularly polarised Alfvén wave phase mixing: a new mechanism for electron acceleration in collisionless plasmas. Astron. Astrophys. 435, 1105–1113 (2005). doi:10.1051/0004-6361:20042436
Y. Uchida, Propagation of hydromagnetic disturbances in the solar corona and Moreton’s wave phenomenon. Sol. Phys. 4, 30–44 (1968). doi:10.1007/BF00146996
J. Vaclavik, K. Appert, Theory of plasma heating by low frequency waves: magnetic pumping and Alfvén resonance heating. Nucl. Fusion 31(10), 1945 (1991). http://stacks.iop.org/0029-5515/31/i=10/a=013
T. Van Doorsselaere, J. Andries, S. Poedts, M. Goossens, Damping of coronal loop oscillations. Calculation of resonantly damped kink oscillations of one-dimensional nonuniform loops. Astrophys. J. 606, 1223–1232 (2004a)
T. Van Doorsselaere, A. Debosscher, J. Andries, S. Poedts, The effect of curvature on quasi-modes in coronal loops. Astron. Astrophys. 424, 1065–1074 (2004b). doi:10.1051/0004-6361:20041239
T. Van Doorsselaere, V.M. Nakariakov, E. Verwichte, Detection of waves in the solar corona: kink or Alfvén? Astrophys. J. Lett. 676, 73–75 (2008c). doi:10.1086/587029
T. Van Doorsselaere, C.S. Brady, E. Verwichte, V.M. Nakariakov, Seismological demonstration of perpendicular density structuring in the solar corona. Astron. Astrophys. 491, 9–12 (2008b). doi:10.1051/0004-6361:200810659
T. Van Doorsselaere, V.M. Nakariakov, P.R. Young, E. Verwichte, Coronal magnetic field measurement using loop oscillations observed by Hinode/EIS. Astron. Astrophys. 487, 17–20 (2008c). doi:10.1051/0004-6361:200810186
T. Van Doorsselaere, N. Wardle, G. Del Zanna, K. Jansari, E. Verwichte, V.M. Nakariakov, The first measurement of the adiabatic index in the solar corona using time-dependent spectroscopy of Hinode/EIS observations. Astrophys. J. 727, 32 (2011). doi:10.1088/2041-8205/727/2/L32
S. Vasheghani Farahani, T. Van Doorsselaere, E. Verwichte, V.M. Nakariakov, Propagating transverse waves in soft X-ray coronal jets. Astron. Astrophys. 498, 29–32 (2009). doi:10.1051/0004-6361/200911840
S. Vasheghani Farahani, C. Hornsey, T. Van Doorsselaere, M. Goossens, Frequency and damping rate of fast sausage waves. Astrophys. J. 781, 92 (2014). doi:10.1088/0004-637X/781/2/92
A.M. Veronig, M. Temmer, B. Vršnak, High-cadence observations of a global coronal wave by STEREO EUVI. Astrophys. J. Lett. 681, 113–116 (2008). doi:10.1086/590493
A.M. Veronig, N. Muhr, I.W. Kienreich, M. Temmer, B. Vršnak, First observations of a dome-shaped large-scale coronal extreme-ultraviolet wave. Astrophys. J. Lett. 716, 57–62 (2010). doi:10.1088/2041-8205/716/1/L57
G. Verth, J. Terradas, M. Goossens, Observational evidence of resonantly damped propagating kink waves in the solar corona. Astrophys. J. Lett. 718, 102–105 (2010). doi:10.1088/2041-8205/718/2/L102
E. Verwichte, M.J. Aschwanden, T. Van Doorsselaere, C. Foullon, V.M. Nakariakov, 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
E. Verwichte, T. Van Doorsselaere, R.S. White, P. Antolin, Statistical seismology of transverse waves in the solar corona. Astron. Astrophys. 552, 138 (2013). doi:10.1051/0004-6361/201220456
N.M. Viall, L. Kepko, H.E. Spence, Relative occurrence rates and connection of discrete frequency oscillations in the solar wind density and dayside magnetosphere. J. Geophys. Res. Space Phys. 114, 1201 (2009). doi:10.1029/2008JA013334
J. Vogt, Alfvén wave coupling in the auroral current circuit. Surv. Geophys. 23, 335–377 (2002)
Y.M. Voitenko, Excitation of kinetic Alfvén waves in a flaring loop. Sol. Phys. 182, 411–430 (1998). doi:10.1023/A:1005049006572
Y. Voitenko, M. Goossens, Nonlinear decay of phase-mixed Alfvén waves in the solar corona. Astron. Astrophys. 357, 1073–1085 (2000)
A.D.M. Walker, The Kelvin-Helmholtz instability in the low-latitude boundary layer. Planet. Space Sci. 29, 1119–1133 (1981). doi:10.1016/0032-0633(81)90011-8
A.D.M. Walker, MHD Waves in Geospace (Institute of Physics Publishing, London, 2005)
Y.-M. Wang, EIT waves and fast-mode propagation in the solar corona. Astrophys. J. Lett. 543, 89–93 (2000). doi:10.1086/318178
T. Wang, Standing slow-mode waves in hot coronal loops: observations, modeling, and coronal seismology. Space Sci. Rev. 158, 397–419 (2011). doi:10.1007/s11214-010-9716-1
T.J. Wang, S.K. Solanki, Vertical oscillations of a coronal loop observed by TRACE. Astron. Astrophys. 421, 33–36 (2004). doi:10.1051/0004-6361:20040186
T. Wang, S.K. Solanki, W. Curdt, D.E. Innes, I.E. Dammasch, Doppler shift oscillations of hot solar coronal plasma seen by SUMER: a signature of loop oscillations? Astrophys. J. Lett. 574, 101–104 (2002). doi:10.1086/342189
T. Wang, D.E. Innes, J. Qiu, Determination of the coronal magnetic field from hot-loop oscillations observed by SUMER and SXT. Astrophys. J. 656, 598–609 (2007). doi:10.1086/510424
T. Wang, L. Ofman, J.M. Davila, Y. Su, Growing transverse oscillations of a multistranded loop observed by SDO/AIA. Astrophys. J. Lett. 751, 27 (2012). doi:10.1088/2041-8205/751/2/L27
A. Warmuth, G. Mann, Kinematical evidence for physically different classes of large-scale coronal EUV waves. Astron. Astrophys. 532, 151 (2011). doi:10.1051/0004-6361/201116685
D.F. Webb, T.A. Howard, Coronal mass ejections: observations. Living Rev. Sol. Phys. 9, 3 (2012). doi:10.12942/lrsp-2012-3
R.S. White, E. Verwichte, C. Foullon, First observation of a transverse vertical oscillation during the formation of a hot post-flare loop. Astron. Astrophys. 545, 129 (2012). doi:10.1051/0004-6361/201219856
R.S. White, E. Verwichte, C. Foullon, Anti-phase signature of flare generated transverse loop oscillations. Astrophys. J. 774, 104 (2013). doi:10.1088/0004-637X/774/2/104
D.R. Williams, M. Mathioudakis, P.T. Gallagher, K.J.H. Phillips, R.T.J. McAteer, F.P. Keenan, P. Rudawy, A.C. Katsiyannis, An observational study of a magneto-acoustic wave in the solar corona. Mon. Not. R. Astron. Soc. 336, 747–752 (2002). doi:10.1046/j.1365-8711.2002.05764.x
J. Woch, R. Lundin, Temporal magnetosheath plasma injection observed with Viking—a case study. Ann. Geophys. 9, 133–142 (1991)
J. Woch, G. Kremser, A. Korth, A comprehensive investigation of compressional ULF waves observed in the ring current. J. Geophys. Res. 95, 15113–15132 (1990). doi:10.1029/JA095iA09p15113
A.N. Wright, Dispersion and wave coupling in inhomogeneous MHD waveguides. J. Geophys. Res. 99, 159–167 (1994). doi:10.1029/93JA02206
D.M. Wright, T.K. Yeoman, I.J. Rae, J. Storey, A.B. Stockton-Chalk, J.L. Roeder, K.J. Trattner, Ground-based and polar spacecraft observations of a giant (Pg) pulsation and its associated source mechanism. J. Geophys. Res. 106, 10837–10852 (2001). doi:10.1029/2001JA900022
J.R. Wygant, A. Keiling, C.A. Cattell, M. Johnson, R.L. Lysak, M. Temerin, F.S. Mozer, C.A. Kletzing, J.D. Scudder, W. Peterson, C.T. Russell, G. Parks, M. Brittnacher, G. Germany, J. Spann, Polar spacecraft based comparisons of intense electric fields and Poynting flux near and within the plasma sheet-tail lobe boundary to UVI images: an energy source for the aurora. J. Geophys. Res. 105, 18675 (2000). doi:10.1029/1999JA900500
T.K. Yeoman, D.M. Wright, L.J. Baddeley, Ionospheric signatures of ULF waves: active radar techniques, in Magnetospheric ULF Waves: Synthesis and New Directions, ed. by K. Takahashi, P.J. Chi, R.E. Denton, R.L. Lysak. Washington DC American Geophysical Union Geophysical Monograph Series, vol. 169 (2006), p. 273
T.K. Yeoman, M. James, P.N. Mager, D.Y. Klimushkin, SuperDARN observations of high-m ULF waves with curved phase fronts and their interpretation in terms of transverse resonator theory. J. Geophys. Res. Space Phys. 117, 6231 (2012). doi:10.1029/2012JA017668
S. Yu, V.M. Nakariakov, L.A. Selzer, B. Tan, Y. Yan, Quasi-periodic wiggles of microwave zebra structures in a solar flare. Astrophys. J. 777, 159 (2013). doi:10.1088/0004-637X/777/2/159
D. Yuan, V.M. Nakariakov, Measuring the apparent phase speed of propagating EUV disturbances. Astron. Astrophys. 543, 9 (2012). doi:10.1051/0004-6361/201218848
D. Yuan, V.M. Nakariakov, N. Chorley, C. Foullon, Leakage of long-period oscillations from the chromosphere to the corona. Astron. Astrophys. 533, 116 (2011). doi:10.1051/0004-6361/201116933
D. Yuan, Y. Shen, Y. Liu, V.M. Nakariakov, B. Tan, J. Huang, Distinct propagating fast wave trains associated with flaring energy releases. Astron. Astrophys. 554, 144 (2013). doi:10.1051/0004-6361/201321435
K. Yumoto, V. Pilipenko, E. Fedorov, N. Kurneva, M. De Lauretis, K Kitamura, Magnetospheric ULF wave phenomena stimulated by SSC. J. Geomagn. Geoelectr. 49(10), 1179–1195 (1997)
V.V. Zaitsev, A.V. Stepanov, On the origin of the hard X-ray pulsations during solar flares. Sov. Astron. Lett. 8, 132–134 (1982)
V.V. Zaitsev, A.V. Stepanov, Coronal magnetic loops. Phys. Usp. 51, 1123–1160 (2008). doi:10.1070/PU2008v051n11ABEH006657
I.V. Zimovets, V.M. Nakariakov, Excitation of kink oscillations of coronal loops: statistical study. Astron. Astrophys. 577, 4 (2015). doi:10.1051/0004-6361/201424960
I.V. Zimovets, A.B. Struminsky, Imaging observations of quasi-periodic pulsatory nonthermal emission in two-ribbon solar flares. Sol. Phys. 258, 69–88 (2009). doi:10.1007/s11207-009-9394-x
N.A. Zolotukhina, P.N. Mager, D.Y. Klimushkin, Pc5 waves generated by substorm injection: a case study. Ann. Geophys. 26, 2053–2059 (2008). doi:10.5194/angeo-26-2053-2008
Acknowledgements
This review is based upon the activities of the international science team “MHD oscillations in the solar corona and Earth’s magnetosphere: towards consolidated understanding” supported by the International Space Science Institute, Bern, Switzerland. The authors would like to thank Dr N. Nishitani and Dr A. Yoshikawa for the valuable discussions. The authors acknowledge the support by the STFC Warwick Astrophysics Consolidated Grant ST/L000733/1 (VMN, GN); the European Research Council under the SeismoSun Research Project No. 321141 (VMN), BK21 plus program through the National Research Foundation funded by the Ministry of Education of Korea (DHL, VMN); the Leverhulme Trust (GV); the János Bolyai Research Scholarship of the Hungarian Academy of Sciences (BH); grant P209/12/0103 and 16-13277S (GA CR) (MK, PJ); an Odysseus grant of the FWO Vlaanderen, the IAP P7/08 CHARM (Belspo) and the GOA-2015-014 (KU Leuven) (TVD); Program No 9 of the Presidium of the Russian Academy of Sciences (DYK).
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Appendix
Appendix
Abbreviations and acronyms commonly used in solar coronal and Earth’s magnetospheric physics:
- AAR:
-
Auroral acceleration region
- AIA:
-
Atmospheric Imaging Assembly on SDO
- BBF:
-
bursty bulk flow events
- CBF:
-
coronal bright fronts
- CIR:
-
Corotating interaction region
- CME:
-
Coronal mass ejection
- CSHKP:
-
Carmichael, Sturrock, Hirayama, Kopp-Pneuman (or standard) model of a solar flare
- EIS:
-
Extreme Ultraviolet Imaging Spectrometer on Hinode
- EIT:
-
Extreme Ultraviolet Imaging Telescope on SoHO
- EMIC:
-
Electromagnetic ion-cyclotron
- EUV:
-
Extreme Ultraviolet
- FLR:
-
field line resonance—an eigenmode of a closed geomagnetic field line
- FMS:
-
Fast magnetosonic
- FTE:
-
Flux transfer events
- IAR:
-
Ionospheric Alfvénic resonator
- IMF:
-
Interplanetary magnetic field
- IRI:
-
International Reference Ionosphere model
- KAWs:
-
Kinetic Alfvén waves
- KHI:
-
Kelvin–Helmholtz instability
- LLBL:
-
Low latitude boundary layer
- LoS:
-
Line-of-sight
- MHD:
-
Magnetohydrodynamic
- MP:
-
Magnetopause
- MSIS:
-
Mass Spectrometer—Incoherent Scatter Model of the upper atmosphere
- NFTE:
-
Nightside flux transfer events
- NoRH:
-
Nobeyama Radioheliograph
- NRH:
-
Nancey RadioHeliograph
- QPPs:
-
Quasi-periodic pulsations
- RHESSI:
-
Reuven Ramaty High-Energy Solar Spectroscopic Imager
- SDO:
-
NASA Solar Dynamics Observatory
- SFE:
-
Solar flare effect
- SI:
-
Sudden impulse
- SID:
-
Sudden ionospheric disturbance
- SoHO:
-
ESA/NASA Solar and Heliospheric Observatory
- SSC:
-
Storm sudden commencement
- SSRT:
-
Siberian Solar Radio Telescope
- STEREO:
-
Solar TErrestrial RElations Observatory
- SUMER:
-
Solar Ultraviolet Measurements of Emitted Radiation instrument on SOHO
- SXT:
-
Solar X-ray Telescope on Yohkoh
- TRACE:
-
Transition Region and Coronal Explorer
- ULF:
-
Ultra low frequency
- XRT:
-
X-ray Telescope on Hinode.
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Nakariakov, V.M., Pilipenko, V., Heilig, B. et al. Magnetohydrodynamic Oscillations in the Solar Corona and Earth’s Magnetosphere: Towards Consolidated Understanding. Space Sci Rev 200, 75–203 (2016). https://doi.org/10.1007/s11214-015-0233-0
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DOI: https://doi.org/10.1007/s11214-015-0233-0