Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...251..727p&link_type=abstract
Astrophysical Journal, Part 1, vol. 251, Dec. 15, 1981, p. 727-738.
Astronomy and Astrophysics
Astrophysics
117
Energy Spectra, Gyrofrequency, Harmonics, Magnetic Fields, Maxwell-Boltzmann Density Function, Relativistic Particles, Synchrotron Radiation, Asymptotic Methods, Cyclotron Radiation, Pitch (Inclination), Relativistic Plasmas
Scientific paper
A simple approximate method for the evaluation of the spectrum and directivity of the synchrotron radiation from an ensemble of particles in a given magnetic field is considered, taking into account the results of this method for the total emissivity at high harmonics. The general formula is presented along with the details of the derivation of the emissivity for an arbitrary energy spectrum and pitch angle distribution of particles. The emissivities for some commonly encountered particle distributions are provided and some empirical formulae valid for a large range of the parameters are given. The results from the analytic expressions are compared with those obtained by detailed numerical calculations. For isotropic pitch angle distributions, spectra from the simple analytic expressions agree with the numerical results to a high degree of accuracy even at lower harmonics.
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