Astronomy and Astrophysics – Astrophysics
Scientific paper
1996-01-12
Astronomy and Astrophysics
Astrophysics
17 pages, 6 Postscript figures, tarred and gzipped. Accepted to The Astrophysical Journal. Also available at this http://cfa
Scientific paper
10.1086/177422
We present a complete solution to the cyclotron-synchrotron radiation due to 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 $T=5\times10^8$ K, $10^9$ K, $2\times10^9$ K to $3.2\times10^{10}$ K, and provide simple fitting formulae which give a fairly accurate representation of the detailed results. For $T\geq3.2\times10^{10}$ 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 also for this asymptotic case.
Mahadevan Rohan
Narayan Ramesh
Yi Insu
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