Approximations for gyrosynchrotron emissivity in a weak, isotropic plasma

Astronomy and Astrophysics – Astrophysics

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Emissivity, Isotropic Media, Plasma Radiation, Radio Spectra, Synchrotron Radiation, Emission Spectra, Pitch (Inclination), Plasma Frequencies, Plasma Spectra

Scientific paper

The Wild and Hill (1971) approximations for gyrosynchrotron emissivity per electron in vacuo and in a weak isotropic plasma allow us to derive an approximation for the frequency of maximum emissivity as a function of aspect angle, particle speed, particle pitch angle, and local plasma and cyclotron frequencies. The approximate peak frequency ranges from much greater than to much less than the Razin frequency as the plasma frequency increases. Given sufficient suppression by the Razin effect, the emissivity may be separated into frequency-dependent and mode-dependent parts, providing a simple expression for narrowband Razin-suppressed spectra. In the neighborhood of peak frequency, errors are of the order of 10%.

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