Oscillatory nonlinear electron flow in a Pierce diode using Lagrange transform

Physics – Plasma Physics

Scientific paper

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Electron Beams, Electron Plasma, Plasma Diodes, Plasma Oscillations, Electron Energy, Maxwell Fluids, Oscillating Flow, Plasma Physics

Scientific paper

An electron beam is considered flowing in a one-dimensional
electrostatic planar diode with both electrodes grounded. Two integral
equations for the electric field, characterizing the Pierce (1944) diode
in the cold fluid regime are obtained by using Lagrange transform. These
equations agree exactly with those obtained by Godfrey (1987).

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