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Radiation by a modulated sheet electron beam propagating parallel to a reflection grating under a finite magnetic field

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2 Author(s)
Yasumoto, K. ; Dept. of Comput. Sci. & Commun. Eng., Kyushu Univ., Fukuoka, Japan ; Tanaka, T.

The authors investigate two-dimensional radiation from a modulated sheet electron beam propagating parallel to a reflection grating under the influence of an externally applied magnetic field. From the wave-theoretic viewpoint, the spontaneous emission can be interpreted as the radiative leakage of the space-charge waves associated with the electron beam. The analysis is reduced to the determination of the complex eigen wavenumber of the space-charge waves perturbed by the presence of the periodic structure. The set of Maxwell equations and relativistic hydrodynamic equations for cold electrons is solved using a perturbation approach based on multiple-space scales. The transport equations governing the radiative leakage of the space-charge waves are systematically derived. Numerical results on the leakage coefficients and the phase change due to the leakage that depend on the applied magnetic field are presented.<>

Published in:

Antennas and Propagation Society International Symposium, 1989. AP-S. Digest

Date of Conference:

26-30 June 1989

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