Mathematics
Scientific paper
Jan 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987p%26ss...35...11h&link_type=abstract
Planetary and Space Science (ISSN 0032-0633), vol. 35, Jan. 1987, p. 11-19.
Mathematics
28
Beam Injection, Electron Beams, Near Fields, Radio Emission, Space Plasmas, Cyclotron Frequency, Earth Ionosphere, Fourier Transformation, Maxwell Equation, Polar Coordinates
Scientific paper
Most measurements of the radio frequency emissions from artificial electron beams in space have been made in close proximity to the beam. This paper presents theory and results for the near-field radiation associated with the operation of a pulsed electron beam, taking into account the effects of the ionospheric plasma. The beam is modeled as an infinite train of square-wave pulses and the radiation is obtained by adding coherently the radiation from each individual electron in the idealized helical trajectory assumed by the beam as it traverses the magnetized plasma. The mathematical solution is obtained by taking the Fourier transform in space and time of Maxwell's equations and the driving modulated beam current, and then taking the inverse transform of the resulting electric field. Typical electric field strengths are presented for a range of modulation frequencies extending from below the ion cyclotron to the electron cyclotron frequency.
Banks Peter M.
Harker K. J.
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