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Magnetography of Solar Flaring Loops with Microwave Imaging Spectropolarimetry

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Coronal Magnetometry

Abstract

We have developed a general framework for modeling gyrosynchrotron and freeā€“free emission from solar flaring loops and used it to test the premise that 2D maps of source parameters, particularly the magnetic field, can be deduced from spatially resolved microwave spectropolarimetry data. We show quantitative results for a flaring loop with a realistic magnetic geometry, derived from a magnetic-field extrapolation, and containing an electron distribution with typical thermal and nonthermal parameters, after folding through the instrumental profile of a realistic interferometric array. We compare the parameters generated from forward-fitting a homogeneous source model to each line of sight through the folded image data cube both with the original parameters used in the model and with parameters generated from forward-fitting a homogeneous source model to the original (unfolded) image data cube. We find excellent agreement in general, but with systematic effects that can be understood as due to the finite resolution in the folded images and the variation of parameters along the line of sight, which are ignored in the homogeneous source model. We discuss the use of such 2D parameter maps within a larger framework of 3D modeling, and the prospects for applying these methods to data from a new generation of multifrequency radio arrays now or soon to be available.

Coronal Magnetometry

Guest Editors: S. Tomczyk, J. Zhang, and T.S. Bastian

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References

  • Altyntsev, A.T., Fleishman, G.D., Huang, G.-L., Melnikov, V.F.: 2008, A broadband microwave burst produced by electron beams. Astrophys. J. 677, 1367ā€‰ā€“ā€‰1377. doi:10.1086/528841.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Aschwanden, M.J.: 2008, Keynote address: outstanding problems in solar physics. J.Ā Astrophys. Astron. 29, 3ā€‰ā€“ā€‰16. doi:10.1007/s12036-008-0002-5.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Bastian, T.S.: 1995, Angular scattering of radio waves: implications for mode coupling in the solar corona. Astrophys.Ā J. 439, 494ā€‰ā€“ā€‰498. doi:10.1086/175190.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Bastian, T.S.: 2006, Magnetic field measurements in flare loops and CMEs. In: Casini, R., Lites, B.W. (eds.) Solar Polarization 4 CS-358, Astron. Soc. Pac., San Francisco, 173.

    Google ScholarĀ 

  • Bastian, T.S., Benz, A.O., Gary, D.E.: 1998, Radio emission from solar flares. Annu. Rev. Astron. Astrophys. 36, 131ā€‰ā€“ā€‰188. doi:10.1146/annurev.astro.36.1.131.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Bastian, T.S., Fleishman, G.D., Gary, D.E.: 2007, Radio spectral evolution of an X-ray-poor impulsive solar flare: implications for plasma heating and electron acceleration. Astrophys. J. 666, 1256ā€‰ā€“ā€‰1267. doi:10.1086/520106.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Conway, J.E., Cornwell, T.J., Wilkinson, P.N.: 1990, Multi-frequency synthesis ā€“ a new technique in radio interferometric imaging. Mon. Not. Roy. Astron. Soc. 246, 490.

    ADSĀ  Google ScholarĀ 

  • De Rosa, M.L., Schrijver, C.J., Barnes, G., Leka, K.D., Lites, B.W., Aschwanden, M.J., Amari, T., Canou, A., McTiernan, J.M., RĆ©gnier, S., Thalmann, J.K., Valori, G., Wheatland, M.S., Wiegelmann, T., Cheung, M.C.M., Conlon, P.A., Fuhrmann, M., Inhester, B., Tadesse, T.: 2009, A critical assessment of nonlinear force-free field modeling of the solar corona for active region 10953. Astrophys. J. 696, 1780ā€‰ā€“ā€‰1791. doi:10.1088/0004-637X/696/2/1780.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Fleishman, G.D., Kuznetsov, A.A.: 2010, Fast gyrosynchrotron codes. Astrophys. J. 721, 1127ā€‰ā€“ā€‰1141. doi:10.1088/0004-637X/721/2/1127.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Fleishman, G.D., Nita, G.M., Gary, D.E.: 2009, Dynamic magnetography of solar flaring loops. Astrophys. J. Lett. 698, L183ā€‰ā€“ā€‰L187. doi:10.1088/0004-637X/698/2/L183.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Fleishman, G., Gary, D., Nita, G., Alexander, D., Aschwanden, M., Bastian, T., Hudson, H., Hurford, G., Kontar, E., Longcope, D., Mikic, Z., DeRosa, M., Ryan, J., White, S.: 2010, Uncovering mechanisms of coronal magnetism via advanced 3D modeling of flares and active regions. arXiv:1011.2800.

  • Fleishman, G.D., Kontar, E.P., Nita, G.M., Gary, D.E.: 2011, A cold, tenuous solar flare: acceleration without heating. Astrophys. J. Lett. 731, L19. doi:10.1088/2041-8205/731/1/L19.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Fleishman, G.D., Kontar, E.P., Nita, G.M., Gary, D.E.: 2013, Probing dynamics of electron acceleration with radio and X-ray spectroscopy, imaging, and timing in the 2002 April 11 solar flare. Astrophys. J. 768, 1. doi:10.1088/0004-637X/768/1/1. arXiv:1303.4098.

    ArticleĀ  Google ScholarĀ 

  • Gary, D.E., Keller, C.U. (eds.): 2004, Solar and Space Weather Radiophysics ā€“ Current Status and Future Developments, Astrophys. Space Science Lib. 314, Kluwer Academic. Dordrecht.

    Google ScholarĀ 

  • Gary, D.E., Hurford, G.J., Nita, G.M., White, S.M., Tun, S.D., Fleishman, G.D., McTiernan, J.M.: 2011, The expanded Owens Valley solar array. Bull. Am. Astron. Soc. 42, 102.

    Google ScholarĀ 

  • Lin, H., Kuhn, J.R., Coulter, R.: 2004, Coronal magnetic field measurements. Astrophys. J. Lett. 613, L177ā€‰ā€“ā€‰L180. doi:10.1086/425217.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Lin, H., Penn, M.J., Tomczyk, S.: 2000, A new precise measurement of the coronal magnetic field strength. Astrophys. J. Lett. 541, L83ā€‰ā€“ā€‰L86. doi:10.1086/312900.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Liu, Y., Lin, H.: 2008, Observational test of coronal magnetic field models. I. Comparison with potential field model. Astrophys. J. 680, 1496ā€‰ā€“ā€‰1507. doi:10.1086/588645.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Metcalf, T.R., Leka, K.D., Barnes, G., Lites, B.W., Georgoulis, M.K., Pevtsov, A.A., Balasubramaniam, K.S., Gary, G.A., Jing, J., Li, J., Liu, Y., Wang, H.N., Abramenko, V., Yurchyshyn, V., Moon, Y.-J.: 2006, An overview of existing algorithms for resolving the 180āˆ˜ ambiguity in vector magnetic fields: quantitative tests with synthetic data. Solar Phys. 237, 267ā€‰ā€“ā€‰296. doi:10.1007/s11207-006-0170-x.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Mok, Y., Mikić, Z., Lionello, R., Linker, J.A.: 2008, The formation of coronal loops by thermal instability in three dimensions. Astrophys. J. Lett. 679, L161ā€‰ā€“ā€‰L165. doi:10.1086/589440.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Nita, G.M., Fleishman, G.D., Gary, D.E., Kuznetsov, A., Kontar, E.P.: 2011, GX_Simulator: an interactive IDL widget tool for visualization and simulation of imaging spectroscopy. Bull. Am. Astron. Soc. 42, 1811.

    Google ScholarĀ 

  • Nita, G.M., Fleishman, G.D., Gary, D.E., Kuznetsov, A., Kontar, E.P.: 2012, Integrated IDL tool for 3D modeling and imaging data analysis. Bull. Am. Astron. Soc. 220, 51.

    Google ScholarĀ 

  • Press, W.H., Flannery, B.P., Teukolsky, S.A.: 1986, Numerical Recipes. The Art of Scientific Computing, Cambridge University Press, Cambridge.

    MATHĀ  Google ScholarĀ 

  • Rau, U., Cornwell, T.J.: 2011, A multi-scale multi-frequency deconvolution algorithm for synthesis imaging in radio interferometry. Astron. Astrophys. 532, A71. doi:10.1051/0004-6361/201117104.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Sault, R.J., Wieringa, M.H.: 1994, Multi-frequency synthesis techniques in radio interferometric imaging. Astron. Astrophys. Suppl. Ser. 108, 585ā€‰ā€“ā€‰594.

    ADSĀ  Google ScholarĀ 

  • Sault, R.J., Teuben, P.J., Wright, M.C.H.: 2011, MIRIAD: multi-channel image reconstruction, image analysis, and display. In: Astrophysics Source Code Library, 6007, ascl.net/1106.007.

    Google ScholarĀ 

  • Socas-Navarro, H., Elmore, D., Pietarila, A., Darnell, A., Lites, B.W., Tomczyk, S., Hegwer, S.: 2006, Spinor: visible and infrared spectro-polarimetry at the National Solar Observatory. Solar Phys. 235, 55ā€‰ā€“ā€‰73. doi:10.1007/s11207-006-0020-x.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Tomczyk, S.: 2012, The Coronal Solar Magnetism Observatory (COSMO). Am. Astron. Soc. Meet. 220, #202.11. ADS:2012AAS...22020211T.

    ADSĀ  Google ScholarĀ 

  • White, S.M., Thejappa, G., Kundu, M.R.: 1992, Observations of mode coupling in the solar corona and bipolar noise storms. Solar Phys. 138, 163ā€‰ā€“ā€‰187. doi:10.1007/BF00146202.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Wiegelmann, T., Inhester, B., Sakurai, T.: 2006, Preprocessing of Vector Magnetograph data for a nonlinear force-free magnetic field reconstruction. Solar Phys. 233, 215ā€‰ā€“ā€‰232. doi:10.1007/s11207-006-2092-z.

    ArticleĀ  ADSĀ  Google ScholarĀ 

  • Wiegelmann, T., Thalmann, J.K., Schrijver, C.J., De Rosa, M.L., Metcalf, T.R.: 2008, Can we improve the preprocessing of photospheric vector magnetograms by the inclusion of chromospheric observations? Solar Phys. 247, 249ā€‰ā€“ā€‰267. doi:10.1007/s11207-008-9130-y.

    ArticleĀ  ADSĀ  Google ScholarĀ 

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Gary, D.E., Fleishman, G.D., Nita, G.M. (2013). Magnetography of Solar Flaring Loops with Microwave Imaging Spectropolarimetry. In: Tomczyk, S., Zhang, J., Bastian, T. (eds) Coronal Magnetometry. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2038-9_6

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