Radio-emission transfer for a filament

Astronomy and Astrophysics – Astronomy

Scientific paper

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Radiative Transfer, Radio Astronomy, Solar Electrons, Solar Prominences, Solar Radio Emission, Solar Temperature, Brightness Temperature, Linearization, Microwave Emission

Scientific paper

The height distribution of electron temperature in a typical solar filament is determined using radio data on 70 filaments observed at frequencies of 35, 37, 50, and 75 GHz. The nonlinear integral equation relating brightness temperature to the depth distribution of filament parameters is linearized, a system of linear algebraic equations is derived, and a formula for the electron-temperature distribution is obtained. Numerical calculations indicate that the electron temperature in a typical filament increases monotonically with height from approximately 6300 K at the base to about 8300 K at a height of 30,000 km.

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