For citation:
Vdovina G. M. On two-dimensional linear theory of interaction between electron beam and traveling electromagnetic wave: allowing for influence of space charge in a thin beam model. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 5, pp. 148-159. DOI: 10.18500/0869-6632-2010-18-5-148-159
On two-dimensional linear theory of interaction between electron beam and traveling electromagnetic wave: allowing for influence of space charge in a thin beam model
In the article two-dimensional model of interaction between infinitely thin electron beam in longitudinal magnetic field and traveling electromagnetic wave has been considered; in the frames of two-dimensional linear theory integral equation described such interaction has been formulated. On the basis of derived dispersion relation condition of initiation of beam instability has been found and influence of space charge fields on the processes of interaction has been analyzed.
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