Abstract
The 5 July 2012 solar flare SOL2012-07-05T11:44 (11:39 – 11:49 UT) with an increasing millimeter spectrum between 93 and 140 GHz is considered. We use space and ground-based observations in X-ray, extreme ultraviolet, microwave, and millimeter wave ranges obtained with the Reuven Ramaty High-Energy Solar Spectroscopic Imager, Solar Dynamics Observatory (SDO), Geostationary Operational Environmental Satellite, Radio Solar Telescope Network, and Bauman Moscow State Technical University millimeter radio telescope RT-7.5. The main parameters of thermal and accelerated electrons were determined through X-ray spectral fitting assuming the homogeneous thermal source and thick-target model. From the data of the Atmospheric Imaging Assembly/SDO and differential-emission-measure calculations it is shown that the thermal coronal plasma gives a negligible contribution to the millimeter flare emission. Model calculations suggest that the observed increase of millimeter spectral flux with frequency is determined by gyrosynchrotron emission of high-energy (\(\gtrsim 300\) keV) electrons in the chromosphere. The consequences of the results are discussed in the light of the flare-energy-release mechanisms.
Similar content being viewed by others
References
Akabane, K., Nakajima, H., Ohki, K., Moriyama, F., Miyaji, T.: 1973, A flare-associated thermal burst in the mm-wave region. Solar Phys. 33, 431. DOI . ADS .
Akhmedov, S.B., Gelfreikh, G.B., Bogod, V.M., Korzhavin, A.N.: 1982, The measurement of magnetic fields in the solar atmosphere above sunspots using gyroresonance emission. Solar Phys. 79, 41. DOI . 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, S8. DOI . ADS .
Brown, J.C., Turkmani, R., Kontar, E.P., MacKinnon, A.L., Vlahos, L.: 2009, Local re-acceleration and a modified thick target model of solar flare electrons. Astron. Astrophys. 508, 993. DOI . ADS .
Chertok, I.M., Fomichev, V.V., Gorgutsa, R.V., Hildebrandt, J., Krüger, A., Magun, A., Zaitsev, V.V.: 1995, Solar radio bursts with a spectral flattening at millimeter wavelengths. Solar Phys. 160, 181. DOI . ADS .
Correia, E., Kaufmann, P., Magun, A.: 1994, The observed spectrum of solar burst continuum emission in the submillimeter spectral range. In: Rabin, D.M., Jefferies, J.T., Lindsey, C. (eds.) Infrared Solar Physics, IAU Sympos. 154, Kluwer, Dordrecht, 125. ADS .
Fernandes, L.O.T., Kaufmann, P., Correia, E., Giménez de Castro, C.G., Kudaka, A.S., Marun, A., Pereyra, P., Raulin, J.-P., Valio, A.B.M.: 2017, Spectral trends of solar bursts at sub-THz frequencies. Solar Phys. 292, 21. DOI . ADS .
Fleishman, G.D., Kontar, E.P.: 2010, Sub-Thz radiation mechanisms in solar flares. Astrophys. J. Lett. 709, L127. DOI . ADS .
Fleishman, G.D., Kuznetsov, A.A.: 2010, Fast gyrosynchrotron codes. Astrophys. J. 721, 1127. DOI . ADS .
Giménez de Castro, C.G., Trottet, G., Silva-Valio, A., Krucker, S., Costa, J.E.R., Kaufmann, P., Correia, E., Levato, H.: 2009, Submillimeter and X-ray observations of an X class flare. Astron. Astrophys. 507, 433. DOI . ADS .
Graham, D.R., Fletcher, L., Labrosse, N.: 2015, Determining energy balance in the flaring chromosphere from oxygen V line ratios. Astron. Astrophys. 584, A6. DOI . ADS .
Guidice, D.A., Cliver, E.W., Barron, W.R., Kahler, S.: 1981, The air force RSTN system. Bull. Am. Astron. Soc. 113, 553.
Hannah, I.G., Kontar, E.P.: 2012, Differential emission measures from the regularized inversion of Hinode and SDO data. Astron. Astrophys. 539, A146. DOI . ADS .
Hildebrandt, J., Krüger, A., Chertok, I.M., Fomichev, V.V., Gorgutsa, R.V.: 1998, Solar microwave bursts from electron populations with a ‘broken’ energy spectrum. Solar Phys. 181, 337. DOI . ADS .
Hurford, G.J., Schmahl, E.J., Schwartz, R.A., Conway, A.J., Aschwanden, M.J., Csillaghy, A., Dennis, B.R., Johns-Krull, C., Krucker, S., Lin, R.P., McTiernan, J., Metcalf, T.R., Sato, J., Smith, D.M.: 2002, The RHESSI imaging concept. Solar Phys. 210, 61. DOI . ADS .
Kaufmann, P., Raulin, J.-P.: 2006, Can microbunch instability on solar flare accelerated electron beams account for bright broadband coherent synchrotron microwaves? Phys. Plasmas 13(7), 070701. DOI . ADS .
Kaufmann, P., Correia, E., Costa, J.E.R., Zodi Vaz, A.M.: 1986, A synchrotron/inverse Compton interpretation of a solar burst producing fast pulses at lambda less than 3-mm and hard X-rays. Astron. Astrophys. 157, 11. ADS .
Kaufmann, P., Raulin, J.-P., de Castro, C.G.G., Levato, H., Gary, D.E., Costa, J.E.R., Marun, A., Pereyra, P., Silva, A.V.R., Correia, E.: 2004, A new solar burst spectral component emitting only in the Terahertz range. Astrophys. J. Lett. 603, L121. DOI . ADS .
Kaufmann, P., Trottet, G., Giménez de Castro, C.G., Raulin, J.-P., Krucker, S., Shih, A.Y., Levato, H.: 2009, Sub-terahertz, microwaves and high energy emissions during the 6 December 2006 flare, at 18:40 UT. Solar Phys. 255, 131. DOI . ADS .
Kontar, E.P., Piana, M., Massone, A.M., Emslie, A.G., Brown, J.C.: 2004, Generalized regularization techniques with constraints for the analysis of solar bremsstrahlung X-ray spectra. Solar Phys. 225, 293. DOI . ADS .
Kontar, E.P., Emslie, A.G., Piana, M., Massone, A.M., Brown, J.C.: 2005, Determination of electron flux spectra in a solar flare with an augmented regularization method: application to RHESSI data. Solar Phys. 226, 317. DOI . ADS .
Krucker, S., Giménez de Castro, C.G., Hudson, H.S., Trottet, G., Bastian, T.S., Hales, A.S., Kašparová, J., Klein, K.-L., Kretzschmar, M., Lüthi, T., Mackinnon, A., Pohjolainen, S., White, S.M.: 2013, Solar flares at submillimeter wavelengths. Astron. Astrophys. Rev. 21, 58. DOI . ADS .
Kundu, M.R., White, S.M., Gopalswamy, N., Lim, J.: 1994, Millimeter, microwave, hard X-ray, and soft X-ray observations of energetic electron populations in solar flares. Astrophys. J. Suppl. Ser. 90, 599. DOI . ADS .
Lemen, J.R., Title, A.M., Akin, D.J., Boerner, P.F., Chou, C., Drake, J.F., Duncan, D.W., Edwards, C.G., Friedlaender, F.M., Heyman, G.F., Hurlburt, N.E., Katz, N.L., Kushner, G.D., Levay, M., Lindgren, R.W., Mathur, D.P., McFeaters, E.L., Mitchell, S., Rehse, R.A., Schrijver, C.J., Springer, L.A., Stern, R.A., Tarbell, T.D., Wuelser, J.-P., Wolfson, C.J., Yanari, C., Bookbinder, J.A., Cheimets, P.N., Caldwell, D., Deluca, E.E., Gates, R., Golub, L., Park, S., Podgorski, W.A., Bush, R.I., Scherrer, P.H., Gummin, M.A., Smith, P., Auker, G., Jerram, P., Pool, P., Soufli, R., Windt, D.L., Beardsley, S., Clapp, M., Lang, J., Waltham, N.: 2012, The Atmospheric Imaging Assembly (AIA) on the Solar Dynamics Observatory (SDO). Solar Phys. 275, 17. DOI . ADS .
Lin, R.P., Dennis, B.R., Hurford, G.J., Smith, D.M., Zehnder, A., Harvey, P.R., Curtis, D.W., Pankow, D., Turin, P., Bester, M., Csillaghy, A., Lewis, M., Madden, N., van Beek, H.F., Appleby, M., Raudorf, T., McTiernan, J., Ramaty, R., Schmahl, E., Schwartz, R., Krucker, S., Abiad, R., Quinn, T., Berg, P., Hashii, M., Sterling, R., Jackson, R., Pratt, R., Campbell, R.D., Malone, D., Landis, D., Barrington-Leigh, C.P., Slassi-Sennou, S., Cork, C., Clark, D., Amato, D., Orwig, L., Boyle, R., Banks, I.S., Shirey, K., Tolbert, A.K., Zarro, D., Snow, F., Thomsen, K., Henneck, R., McHedlishvili, A., Ming, P., Fivian, M., Jordan, J., Wanner, R., Crubb, J., Preble, J., Matranga, M., Benz, A., Hudson, H., Canfield, R.C., Holman, G.D., Crannell, C., Kosugi, T., Emslie, A.G., Vilmer, N., Brown, J.C., Johns-Krull, C., Aschwanden, M., Metcalf, T., Conway, A.: 2002, The Reuven Ramaty High-Energy Solar Spectroscopic Imager (RHESSI). Solar Phys. 210, 3. DOI . ADS .
Lüthi, T., Magun, A., Miller, M.: 2004, First observation of a solar X-class flare in the submillimeter range with KOSMA. Astron. Astrophys. 415, 1123. DOI . ADS .
Machado, M.E., Avrett, E.H., Vernazza, J.E., Noyes, R.W.: 1980, Semiempirical models of chromospheric flare regions. Astrophys. J. 242, 336. DOI . ADS .
Morgachev, A.S., Tsap, Y.T., Smirnova, G.G., Kuznetsov, S.A.: 2017, Modeling of microwave emission from magnetic arc with growing spectrum. Geomagn. Aeron. 57, 1028. DOI .
Motorina, G.G., Koudriavtsev, I.V., Lazutkov, V.P., Matveev, G.A., Savchenko, M.I., Skorodumov, D.V., Charikov, Y.E.: 2012, On the reconstruction of the energy distribution of electrons accelerated in solar flares. J. Tech. Phys. 57, 1618. DOI . ADS .
Motorina, G.G., Kudryavtsev, I.V., Lazutkov, V.P., Savchenko, M.I., Skorodumov, D.V., Charikov, Y.E.: 2016, Reconstruction of the energy spectrum of electrons accelerated in the April 15, 2002 solar flare based on IRIS X-ray spectrometer measurements. J. Tech. Phys. 61, 525. DOI . ADS .
Qu, Z.-Q., Xu, Z.: 2002, Key properties of solar chromospheric line formation process. Chin. J. Astron. Astrophys. 2, 71. DOI . ADS .
Ramaty, R., Petrosian, V.: 1972, Free-free absorption of gyrosynchrotron radiation in solar microwave bursts. Astrophys. J. 178, 241. DOI . ADS .
Ramaty, R., Schwartz, R.A., Enome, S., Nakajima, H.: 1994, Gamma-ray and millimeter-wave emissions from the 1991 June X-class solar flares. Astrophys. J. 436, 941. DOI . ADS .
Raulin, J.-P., White, S.M., Kundu, M.R., Silva, A.V.R., Shibasaki, K.: 1999, Multiple components in the millimeter emission of a solar flare. Astrophys. J. 522, 547. DOI . ADS .
Raulin, J.P., Makhmutov, V.S., Kaufmann, P., Pacini, A.A., Lüthi, T., Hudson, H.S., Gary, D.E.: 2004, Analysis of the impulsive phase of a solar flare at submillimeter wavelengths. Solar Phys. 223, 181. DOI . ADS .
Rozanov, B.A.: 1981, The RT-7.5 millimeter-band radio telescope of the MVTU. Radioehlektronika 24, 3. ADS .
Sakai, J.I., Nagasugi, Y.: 2007, Emission of electromagnetic waves by proton beams in solar plasmas. Astron. Astrophys. 474, L33. DOI . ADS .
Schou, J., Scherrer, P.H., Bush, R.I., Wachter, R., Couvidat, S., Rabello-Soares, M.C., Bogart, R.S., Hoeksema, J.T., Liu, Y., Duvall, T.L., Akin, D.J., Allard, B.A., Miles, J.W., Rairden, R., Shine, R.A., Tarbell, T.D., Title, A.M., Wolfson, C.J., Elmore, D.F., Norton, A.A., Tomczyk, S.: 2012, Design and ground calibration of the Helioseismic and Magnetic Imager (HMI) instrument on the Solar Dynamics Observatory (SDO). Solar Phys. 275, 229. DOI . ADS .
Schwartz, R.A., Csillaghy, A., Tolbert, A.K., Hurford, G.J., McTiernan, J., Zarro, D.: 2002, RHESSI data analysis software: Rationale and methods. Solar Phys. 210, 165. DOI . ADS .
Silva, A.V.R., Share, G.H., Murphy, R.J., Costa, J.E.R., de Castro, C.G.G., Raulin, J.-P., Kaufmann, P.: 2007, Evidence that synchrotron emission from nonthermal electrons produces the increasing submillimeter spectral component in solar flares. Solar Phys. 245, 311. DOI . ADS .
Smirnova, V.V., Nagnibeda, V.G., Ryzhov, V.S., Zhil’tsov, A.V., Solov’ev, A.A.: 2013, Observations of subterahertz radiation of solar flares with an RT-7.5 radiotelescope. Geomagn. Aeron. 53, 997. DOI . ADS .
Tikhonov, A.N., Arsenin, V.Y.: 1979, Methods of Solutions of Ill-Posed Problems, Nauka, Moscow (in Russian)
Trottet, G., Vilmer, N., Barat, C., Benz, A., Magun, A., Kuznetsov, A., Sunyaev, R., Terekhov, O.: 1998, A multiwavelength analysis of an electron-dominated gamma-ray event associated with a disk solar flare. Astron. Astrophys. 334, 1099. ADS .
Trottet, G., Raulin, J.-P., Kaufmann, P., Siarkowski, M., Klein, K.-L., Gary, D.E.: 2002, First detection of the impulsive and extended phases of a solar radio burst above 200 GHz. Astron. Astrophys. 381, 694. DOI . ADS .
Trottet, G., Krucker, S., Lüthi, T., Magun, A.: 2008, Radio submillimeter and \(\gamma\)-ray observations of the 2003 October 28 solar flare. Astrophys. J. 678, 509. DOI . ADS .
Trottet, G., Raulin, J.-P., Giménez de Castro, G., Lüthi, T., Caspi, A., Mandrini, C.H., Luoni, M.L., Kaufmann, P.: 2011, Origin of the submillimeter radio emission during the time-extended phase of a solar flare. Solar Phys. 273, 339. DOI . ADS .
Tsap, Y.T.: 1998, The stochastic acceleration of upper chromospheric electrons. Astron. Rep. 42, 275. ADS .
Tsap, Y.T., Kopylova, Y.G.: 2017, Coulomb collisions and electron acceleration in sub-Dreicer electric fields of the corona and chromosphere. Geomagn. Aeron. 57, 996. DOI .
Tsap, Y.T., Smirnova, V.V., Morgachev, A.S., Motorina, G.G., Kontar, E.P., Nagnibeda, V.G., Strekalova, P.V.: 2016, On the origin of 140 GHz emission from the 4 July 2012 solar flare. Adv. Space Res. 57, 1449. DOI . ADS .
White, S.M., Kundu, M.R.: 1992, Solar observations with a millimeter-wavelength array. Solar Phys. 141, 347. DOI . ADS .
White, S.M., Thomas, R.J., Schwartz, R.A.: 2005, Updated expressions for determining temperatures and emission measures from goes soft X-ray measurements. Solar Phys. 227, 231. DOI . ADS .
White, S.M., Benz, A.O., Christe, S., Fárník, F., Kundu, M.R., Mann, G., Ning, Z., Raulin, J.-P., Silva-Válio, A.V.R., Saint-Hilaire, P., Vilmer, N., Warmuth, A.: 2011, The relationship between solar radio and hard X-ray emission. Space Sci. Rev. 159, 225. DOI . ADS .
Zaitsev, V.V., Stepanov, A.V.: 2015, Particle acceleration and plasma heating in the chromosphere. Solar Phys. 290, 3559. DOI . ADS .
Zaitsev, V.V., Stepanov, A.V., Melnikov, V.F.: 2013, Sub-terahertz emission from solar flares: The plasma mechanism of chromospheric emission. Astron. Lett. 39, 650. DOI . ADS .
Zaitsev, V.V., Urpo, S., Stepanov, A.V.: 2000, Temporal dynamics of Joule heating and DC-electric field acceleration in single flare loop. Astron. Astrophys. 357, 1105. ADS .
Zheleznyakov, V.V.: 1970, Radio Emission of the Sun and Planets, Pergamon, Oxford. ADS .
Acknowledgements
We would like to thank the anonymous referees for very useful comments, which we found to be very constructive and helpful to improve our manuscript. Yu.T. Tsap was supported by the Russian Science Foundation (project N 16-12-10448). G.G. Motorina and V.V. Smirnova acknowledge support by RFBR grants 16-32-00535-mol_a and 16-02-00749, respectively. The work of A.S. Morgachev was supported by the Program of the Presidium of RAS P-7 and scientific school SC-7241.2016.2. We would like to thank Gordon Holman and Natasha Jeffrey for discussions of the f_thick2.pro model and RHESSI data analysis, respectively. We are grateful to the teams of the RHESSI, SDO, RSTN, and RT-7.5, who have provided open access to their data. SDO data are courtesy of NASA/SDO and the AIA and HMI science teams.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Disclosure of Potential Conflicts of Interest
The authors declare that they have no conflicts of interest.
Rights and permissions
About this article
Cite this article
Tsap, Y.T., Smirnova, V.V., Motorina, G.G. et al. Millimeter and X-Ray Emission from the 5 July 2012 Solar Flare. Sol Phys 293, 50 (2018). https://doi.org/10.1007/s11207-018-1269-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11207-018-1269-6