Abstract
We produce synthetic radio views of simulated flux ropes in the solar corona, where finite-\(\upbeta\) magnetohydrodynamic (MHD) simulations serve to mimic the flux-rope formation stages, as well as their stable endstates. These endstates represent twisted flux ropes where balancing Lorentz forces, gravity, and pressure gradients determine the full thermodynamic variation throughout the flux rope. The models obtained are needed to quantify radiative transfer in radio bands, and they allow us to contrast weak with strong magnetic-field conditions. Field strengths of up to 100 G in the flux rope yield radio views dominated by optically thin free–free emission. The forming flux rope shows clear morphological changes in its emission structure as it deforms from an arcade to a flux rope, both on disk and at the limb. For an active-region filament channel with a field strength of up to 680 G in the flux rope, gyroresonance emission (from the third and fourth gyrolayers) can be detected, and it even dominates free–free emission at frequencies of up to 7 GHz. Finally, we also show synthetic views of a simulated filament embedded within a (weak-field) flux rope, resulting from an energetically consistent MHD simulation. For this filament, synthetic views at the limb show clear similarities with actual observations, and the transition from optically thick (below 10 GHz) to optically thin emission can be reproduced. On the disk, its dimension and temperature conditions are as yet not realistic enough to yield the observed radio-brightness depressions.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11207-016-0865-6/MediaObjects/11207_2016_865_Fig1_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11207-016-0865-6/MediaObjects/11207_2016_865_Fig2_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11207-016-0865-6/MediaObjects/11207_2016_865_Fig3_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11207-016-0865-6/MediaObjects/11207_2016_865_Fig4_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11207-016-0865-6/MediaObjects/11207_2016_865_Fig5_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11207-016-0865-6/MediaObjects/11207_2016_865_Fig6_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11207-016-0865-6/MediaObjects/11207_2016_865_Fig7_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11207-016-0865-6/MediaObjects/11207_2016_865_Fig8_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11207-016-0865-6/MediaObjects/11207_2016_865_Fig9_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11207-016-0865-6/MediaObjects/11207_2016_865_Fig10_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11207-016-0865-6/MediaObjects/11207_2016_865_Fig11_HTML.gif)
Similar content being viewed by others
Notes
More exactly, the cutoff frequency of the extraordinary mode slightly exceeds the plasma frequency. However, under the considered conditions this difference is negligible.
References
Abramov-Maximov, V.E., Borovik, V.N., Opeikina, L.V., Tlatov, A.G.: 2015, Dynamics of microwave sources associated with the neutral line and the magnetic-field parameters of sunspots as a factor in predicting large flares. Solar Phys. 290, 53. DOI . ADS .
Akhmedov, S.B., Borovik, V.N., Gelfreikh, G.B., Bogod, V.M., Korzhavin, A.N., Petrov, Z.E., Dikij, V.N., Lang, K.R., Willson, R.F.: 1986, Structure of a solar active region from RATAN 600 and very large array observations. Astrophys. J. 301, 460. DOI . ADS .
Alissandrakis, C.E., Kundu, M.R.: 1982, Observations of ring structure in a sunspot associated source at 6 centimeter wavelength. Astrophys. J. Lett. 253, L49. DOI . ADS .
Alissandrakis, C.E., Lubyshev, B.I., Smol’Kov, G.I., Krissinel’, B.B., Treskov, T.A., Miller, V.G., Kardapolova, N.N.: 1992, Two-dimensional solar mapping at 5.2 cm with the Siberian Solar Radio Telescope. Solar Phys. 142, 341. DOI . ADS .
Alissandrakis, C.E., Gel’Frejkh, G.B., Borovik, V.N., Korzhavin, A.N., Bogod, V.M., Nindos, A., Kundu, M.R.: 1993, Spectral observations of active region sources with RATAN-600 and WSRT. Astron. Astrophys. 270, 509. ADS .
Alissandrakis, C.E., Kochanov, A.A., Patsourakos, S., Altyntsev, A.T., Lesovoi, S.V., Lesovoya, N.N.: 2013, Microwave and EUV observations of an erupting filament and associated flare and coronal mass ejections. Publ. Astron. Soc. Japan 65, 8. DOI . ADS .
Amari, T., Luciani, J.F., Mikic, Z., Linker, J.: 1999, Three-dimensional solutions of magnetohydrodynamic equations for prominence magnetic support: twisted magnetic flux rope. Astrophys. J. Lett. 518, L57. DOI . ADS .
Aschwanden, M.J.: 2005, Physics of the Solar Corona. An Introduction with Problems and Solutions, 2nd edn. Praxis Publishing Ltd., Chichester. ADS .
Bakunina, I.A., Melnikov, V.F., Solov’ev, A.A., Abramov-Maximov, V.E.: 2015, Intersunspot microwave sources. Solar Phys. 290, 37. DOI . ADS .
Bastian, T.S., Ewell, M.W. Jr., Zirin, H.: 1993, A study of solar prominences near \(\lambda=1\) millimeter. Astrophys. J. 418, 510. DOI . ADS .
Bogod, V.M., Kaltman, T.I., Yasnov, L.V.: 2012, On properties of microwave sources located above the neutral line of radial magnetic field. Astrophys. Bull. 67, 425. DOI . ADS .
Butz, M., Fuerst, E., Hirth, W., Kundu, M.R.: 1975, On the structure of filaments from centimeter and millimeter observations. Solar Phys. 45, 125. DOI . ADS .
Chiuderi Drago, F., Alissandrakis, C.E., Bastian, T., Bocchialini, K., Harrison, R.A.: 2001, Joint EUV/radio observations of a solar filament. Solar Phys. 199, 115. DOI . ADS .
Chiuderi-Drago, F., Furst, E., Hirth, W., Lantos, P.: 1975, Limb brightening and dark features observed at 6 cm wavelength. Astron. Astrophys. 39, 429. ADS .
Drago, F.C., Felli, M.: 1970, Radio maps of the Sun at \(\lambda= 1.95~\mbox{cm}\). Solar Phys. 14, 171. DOI . ADS .
Dulk, G.A.: 1985, Radio emission from the Sun and stars. Annu. Rev. Astron. Astrophys. 23, 169. DOI . ADS .
Fleishman, G.D., Kuznetsov, A.A.: 2010, Fast gyrosynchrotron codes. Astrophys. J. 721, 1127. DOI . ADS .
Fleishman, G.D., Kuznetsov, A.A.: 2014, Theory of gyroresonance and free–free emissions from non-Maxwellian quasi-steady-state electron distributions. Astrophys. J. 781, 77. DOI . ADS .
Gilbert, H.R., Holzer, T.E., Burkepile, J.T., Hundhausen, A.J.: 2000, Active and eruptive prominences and their relationship to coronal mass ejections. Astrophys. J. 537, 503. DOI . ADS .
Golubchina, O.A., Bogod, V.M., Korzhavin, A.N., Bursov, N.N., Tokhchukova, S.K.: 2008, Centimeter-wave radio emission of a high-latitude prominence. Astrophys. Bull. 63, 34. DOI . ADS .
Gopalswamy, N., Hanaoka, Y.: 1998, Coronal dimming associated with a giant prominence eruption. Astrophys. J. Lett. 498, L179. DOI . ADS .
Gopalswamy, N., Yashiro, S.: 2013, Obscuration of flare emission by an eruptive prominence. Publ. Astron. Soc. Japan 65, 11. DOI . ADS .
Gopalswamy, N., Hanaoka, Y., Kundu, M.R., Enome, S., Lemen, J.R., Akioka, M., Lara, A.: 1997, Radio and X-ray studies of a coronal mass ejection associated with a very slow prominence eruption. Astrophys. J. 475, 348. ADS .
Gopalswamy, N., Shimojo, M., Lu, W., Yashiro, S., Shibasaki, K., Howard, R.A.: 2003, Prominence eruptions and coronal mass ejection: a statistical study using microwave observations. Astrophys. J. 586, 562. DOI . ADS .
Grechnev, V.V., Uralov, A.M., Zandanov, V.G., Baranov, N.Y., Shibasaki, K.: 2006, Observations of prominence eruptions with two radioheliographs, SSRT, and NoRH. Publ. Astron. Soc. Japan 58, 69. DOI . ADS .
Grechnev, V.V., Kiselev, V.I., Uralov, A.M., Meshalkina, N.S., Kochanov, A.A.: 2013, An updated view of solar eruptive flares and the development of shocks and CMEs: history of the 2006 December 13 GLE-productive extreme event. Publ. Astron. Soc. Japan 65, 9. DOI . ADS .
Grechnev, V.V., Uralov, A.M., Kuzmenko, I.V., Kochanov, A.A., Chertok, I.M., Kalashnikov, S.S.: 2015, Responsibility of a filament eruption for the initiation of a flare, CME, and blast wave, and its possible transformation into a bow shock. Solar Phys. 290, 129. DOI . ADS .
Hanaoka, Y., Shinkawa, T.: 1999, Heating of erupting prominences observed at 17 GHz. Astrophys. J. 510, 466. DOI . ADS .
Hanaoka, Y., Kurokawa, H., Enome, S., Nakajima, H., Shibasaki, K., Nishio, M., Takano, T., Torii, C., Sekiguchi, H., Kawashima, S., Bushimata, T., Shinohara, N., Irimajiri, Y., Koshiishi, H., Shiomi, Y., Nakai, Y., Funakoshi, Y., Kitai, R., Ishiura, K., Kimura, G.: 1994, Simultaneous observations of a prominence eruption followed by a coronal arcade formation in radio, soft X-rays, and \(\mathrm {H}(\upalpha)\). Publ. Astron. Soc. Japan 46, 205. ADS .
Hirayama, T.: 1985, Modern observations of solar prominences. Solar Phys. 100, 415. DOI . ADS .
Hori, K., Culhane, J.L.: 2002, Trajectories of microwave prominence eruptions. Astron. Astrophys. 382, 666. DOI . ADS .
Irimajiri, Y., Takano, T., Nakajima, H., Shibasaki, K., Hanaoka, Y., Ichimoto, K.: 1995, Simultaneous multifrequency observations of an eruptive prominence at millimeter wavelengths. Solar Phys. 156, 363. DOI . ADS .
Kaneko, T., Yokoyama, T.: 2015, Numerical study on in-situ prominence formation by radiative condensation in the solar corona. Astrophys. J. 806, 115. DOI . ADS .
Keppens, R., Porth, O., Xia, C.: 2014, Interacting tilt and kink instabilities in repelling current channels. Astrophys. J. 795, 77. DOI . ADS .
Keppens, R., Nool, M., Tóth, G., Goedbloed, J.P.: 2003, Adaptive mesh refinement for conservative systems: multi-dimensional efficiency evaluation. Comput. Phys. Commun. 153, 317. DOI . ADS .
Khangil’din, U.V.: 1964, Characteristics of solar active regions obtained from observations on millimeter wavelengths. Soviet Astron. 8, 234. ADS .
Kliem, B., Török, T.: 2006, Torus instability. Phys. Rev. Lett. 96(25), 255002. DOI . ADS .
Kliem, B., Török, T., Titov, V.S., Lionello, R., Linker, J.A., Liu, R., Liu, C., Wang, H.: 2014, Slow rise and partial eruption of a double-decker filament. II. A double flux rope model. Astrophys. J. 792, 107. DOI . ADS .
Korzhavin, A.N., Bogod, V.M., Borovik, V.N., Gelfreikh, G.B., Makarov, V.I.: 1994, Coronal loops and prominences as observed with RATAN 600. Space Sci. Rev. 70, 193. DOI . ADS .
Kundu, M.R.: 1970, Solar active regions at millimeter wavelengths. Solar Phys. 13, 348. DOI . ADS .
Kundu, M.R.: 1972, Observations of prominences at 3.5 millimeter wavelength. Solar Phys. 25, 108. DOI . ADS .
Kundu, M.R.: 1985, High spatial resolution microwave observations of the Sun. Solar Phys. 100, 491. DOI . ADS .
Kundu, M.R., Alissandrakis, C.E.: 1984, Structure and polarization of active region microwave emission. Solar Phys. 94, 249. DOI . ADS .
Kundu, M.R., McCullough, T.P.: 1972, Polarization of solar active regions at 9.5 mm wavelength. Solar Phys. 24, 133. DOI . ADS .
Kundu, M.R., Melozzi, M., Shevgaonkar, R.K.: 1986, A study of solar filaments from high resolution microwave observations. Astron. Astrophys. 167, 166. ADS .
Kundu, M.R., Schmahl, E.J., Rao, A.P.: 1981, VLA observations of solar active regions at 6 CM wavelength. Astron. Astrophys. 94, 72. ADS .
Kundu, M.R., Velusamy, T.: 1980, Observation with the VLA of a stationary loop structure on the Sun at 6 centimeter wavelength. Astrophys. J. Lett. 240, L63. DOI . ADS .
Kundu, M.R., Alissandrakis, C.E., Bregman, J.D., Hin, A.C.: 1977, 6 centimeter observations of solar active regions with 6 sec resolution. Astrophys. J. 213, 278. DOI . ADS .
Kundu, M.R., Fuerst, E., Hirth, W., Butz, M.: 1978, Multifrequency observations of solar filaments at centimeter wavelengths. Astron. Astrophys. 62, 431. ADS .
Kundu, M.R., White, S.M., Garaimov, V.I., Manoharan, P.K., Subramanian, P., Ananthakrishnan, S., Janardhan, P.: 2004, Radio observations of rapid acceleration in a slow filament eruption/fast coronal mass ejection event. Astrophys. J. 607, 530. DOI . ADS .
Labrosse, N., Heinzel, P., Vial, J.-C., Kucera, T., Parenti, S., Gunár, S., Schmieder, B., Kilper, G.: 2010, Physics of solar prominences: I – Spectral diagnostics and non-LTE modelling. Space Sci. Rev. 151, 243. DOI . ADS .
Landi, E., Chiuderi Drago, F.: 2008, The quiet-sun differential emission measure from radio and UV measurements. Astrophys. J. 675, 1629. DOI . ADS .
Lionello, R., Mikić, Z., Linker, J.A., Amari, T.: 2002, Magnetic field topology in prominences. Astrophys. J. 581, 718. DOI . ADS .
Mackay, D.H., van Ballegooijen, A.A.: 2006, Models of the large-scale corona. I. Formation, evolution, and liftoff of magnetic flux ropes. Astrophys. J. 641, 577. DOI . ADS .
Mackay, D.H., Karpen, J.T., Ballester, J.L., Schmieder, B., Aulanier, G.: 2010, Physics of solar prominences: II – magnetic structure and dynamics. Space Sci. Rev. 151, 333. DOI . ADS .
Marqué, C.: 2004, Radio metric observations of quiescent filament cavities. Astrophys. J. 602, 1037. DOI . ADS .
Munro, R.H., Gosling, J.T., Hildner, E., MacQueen, R.M., Poland, A.I., Ross, C.L.: 1979, The association of coronal mass ejection transients with other forms of solar activity. Solar Phys. 61, 201. DOI . ADS .
Parenti, S.: 2014, Solar prominences: observations. Living Rev. Solar Phys. 11, 1. DOI . ADS .
Pérez-León, J.E., Hiriart, D., Mendoza-Torres, J.E.: 2013, Millimeter and submillimeter counterparts of the 2009 September 26 solar prominence. Rev. Mex. Astron. Astrofís. 49, 3. ADS .
Priest, E.R.: 2014, Prominences: conference summary and suggestions for the future. In: Schmieder, B., Malherbe, J.-M., Wu, S.T. (eds.) IAU Symposium 300, Cambridge University Press, Cambridge, 379. DOI . ADS .
Rao, A.P., Kundu, M.R.: 1977, A study of filament transition sheath from radio observations. Solar Phys. 55, 161. DOI . ADS .
Raoult, A., Lantos, P., Fuerst, E.: 1979, Prominences at centimetric and millimetric wavelengths. I – Size and spectrum of the radio filaments. Solar Phys. 61, 335. DOI . ADS .
Saha, M.N.: 1920, LIII. Ionization in the solar chromosphere. Phil. Mag. 40(238), 472. DOI .
Schmahl, E.J., Bobrowsky, M., Kundu, M.R.: 1981, Observations of solar filaments at 8, 15, 22 and 43 GHz. Solar Phys. 71, 311. DOI . ADS .
Shibasaki, K., Alissandrakis, C.E., Pohjolainen, S.: 2011, Radio emission of the quiet Sun and active regions (invited review). Solar Phys. 273, 309. DOI . ADS .
Strong, K.T., Alissandrakis, C.E., Kundu, M.R.: 1984, Interpretation of microwave active region structures using SMM soft X-ray observations. Astrophys. J. 277, 865. DOI . ADS .
Subramanian, P., Dere, K.P.: 2001, Source regions of coronal mass ejections. Astrophys. J. 561, 372. DOI . ADS .
Sych, R.A., Uralov, A.M., Korzhavin, A.N.: 1993, Radio observations of compact solar sources located between sunspots. Solar Phys. 144, 59. DOI . ADS .
Tandberg-Hanssen, E.: 1995, The Nature of Solar Prominences, Astrophys. Space Sci. Lib. 199. Kluwer, Dordrecht. ADS .
Török, T., Kliem, B.: 2005, Confined and ejective eruptions of kink-unstable flux ropes. Astrophys. J. Lett. 630, L97. DOI . ADS .
Török, T., Chandra, R., Pariat, E., Démoulin, P., Schmieder, B., Aulanier, G., Linton, M.G., Mandrini, C.H.: 2011, Filament interaction modeled by flux rope reconnection. Astrophys. J. 728, 65. DOI . ADS .
Uralov, A.M., Rudenko, G.V., Rudenko, I.G.: 2006, 17GHz neutral line associated sources: birth, motion, and projection effect. Publ. Astron. Soc. Japan 58, 21. DOI . ADS .
Uralov, A.M., Nakajima, H., Zandanov, V.G., Grechnev, V.V.: 2000, Current-sheet-associated radio sources and development of the magnetosphere of an active region revealed from 17 GHz and Yohkoh data. Solar Phys. 197, 275. DOI . ADS .
Uralov, A.M., Lesovoi, S.V., Zandanov, V.G., Grechnev, V.V.: 2002, Dual-filament initiation of a coronal mass ejection: observations and model. Solar Phys. 208, 69. DOI . ADS .
Uralov, A.M., Grechnev, V.V., Rudenko, G.V., Rudenko, I.G., Nakajima, H.: 2008, Microwave neutral line associated source and a current sheet. Solar Phys. 249, 315. DOI . ADS .
van der Holst, B., Keppens, R.: 2007, Hybrid block-AMR in cartesian and curvilinear coordinates: MHD applications. J. Comput. Phys. 226, 925. DOI . ADS .
Xia, C., Keppens, R., Guo, Y.: 2014, Three-dimensional prominence-hosting magnetic configurations: creating a helical magnetic flux rope. Astrophys. J. 780, 130. DOI . ADS .
Xia, C., Keppens, R., Antolin, P., Porth, O.: 2014, Simulating the in situ condensation process of solar prominences. Astrophys. J. Lett. 792, L38. DOI . ADS .
Yasnov, L.V.: 2014, On the nature of neutral-line-associated radio sources. Solar Phys. 289, 1215. DOI . ADS .
Zheleznyakov, V.V.: 1970, Radio Emission of the Sun and Planets, Pergamon, Oxford. ADS .
Zirker, J.B.: 1989, Quiescent prominences. Solar Phys. 119, 341. DOI . ADS .
Acknowledgments
This work was supported in part by the Russian Foundation of Basic Research (grants 14-02-91157 and 15-02-03717) and by a Marie Curie International Research Staff Exchange Scheme “Radiosun” (PEOPLE-2011-IRSES-295272). R. Keppens and C. Xia acknowledge support from the project GOA/2015/014 (KU Leuven), the Interuniversity Attraction Poles Programme initiated by the Belgian Science Policy Office (IAP P7/08 CHARM), and the FWO. Part of the simulations used the VSC (Flemish Supercomputer Center) funded by the Hercules foundation and the Flemish Government.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kuznetsov, A.A., Keppens, R. & Xia, C. Synthetic Radio Views of Simulated Solar Flux Ropes. Sol Phys 291, 823–845 (2016). https://doi.org/10.1007/s11207-016-0865-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11207-016-0865-6