Harmony in Electrons: Cyclotron and Synchrotron Emission by Thermal Electrons in a Magnetic Field
Abstract
We present a complete solution to the cyclotronsynchrotron radiation that results from an isotropic distribution of electrons moving in a magnetic field. We make no approximations in the calculations other than artificially broadening the harmonics by a small amount in order to facilitate the numerics. In contrast to previous calculations, we sum over all relevant harmonics and integrate over all particle and observer angles relative to the magnetic field. We present emission spectra for electron temperatures T = 5 x 10^{8} K, 10^{9} K, 2 x 10^{10} K to 3.2 x 1010 K, and provide simple fitting formulae that give a fairly accurate representation of the detailed results. For T ≥ 3.2 x 10^{10} K, the spectrum is represented well by the asymptotic synchrotron formula, which is obtained by assuming that the radiating electrons have Lorentz factors large compared to unity. We give an improved fitting formula for this asymptotic case as well.
 Publication:

The Astrophysical Journal
 Pub Date:
 July 1996
 DOI:
 10.1086/177422
 arXiv:
 arXiv:astroph/9601073
 Bibcode:
 1996ApJ...465..327M
 Keywords:

 PLASMAS;
 MAGNETIC FIELDS;
 RADIATION MECHANISMS: THERMAL;
 Astrophysics
 EPrint:
 17 pages, 6 Postscript figures, tarred and gzipped. Accepted to The Astrophysical Journal. Also available at this http://cfawww.harvard.edu/~rohan/