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Theoretical scaling law of coronal magnetic field and electron power-law index in solar microwave burst sources

  • Y. Huang
  • Q. W. Song
  • B. L. Tan
Original Article

Abstract

It is first proposed a theoretical scaling law respectively for the coronal magnetic field strength \(B\) and electron power-law index \(\delta\) versus frequency and coronal height in solar microwave burst sources. Based on the non-thermal gyro-synchrotron radiation model (Ramaty in Astrophys. J. 158:753, 1969), \(B\) and \(\delta\) are uniquely solved by the observable optically-thin spectral index and turnover (peak) frequency, the other parameters (plasma density, temperature, view angle, low and high energy cutoffs, etc.) are relatively insensitive to the calculations, thus taken as some typical values. Both of \(B\) and \(\delta\) increase with increasing of radio frequency but with decreasing of coronal height above photosphere, and well satisfy a square or cubic logarithmic fitting.

Keywords

The Sun: flares The Sun: radio radiation The Sun: corona The Sun: magnetic fields The Sun: energetic particles 

Notes

Acknowledgements

The study is supported by the NFSC projects with Nos. 11203083, 11427803, U1731241 and 11273030. Also supported by the Strategic Pioneer Program on Space Science, CAS, Grant No. XDA15052200 and XDA15320301.

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Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Purple Mountain ObservatoryChinese Academy of Sciences (CAS)NanjingChina
  2. 2.National Astronomical Observatories of CASBeijingChina
  3. 3.Key Laboratory of Space Astronomy and Dark MatterCASNanjingChina
  4. 4.Key Laboratory of Solar ActivitiesCASBeijingChina

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