Propagation of Disturbances in One-Dimensional Accelerated Electron Streams

Abstract

The propagation of small sinusoidal modulations in the infinite, parallel‐plane diode is studied. A second‐order differential equation is obtained for the ac convection current. Solutions are found in closed form for the cases of a drift‐stream, space‐charge‐limited acceleration, and acceleration with an arbitrary current density less than the space‐charge‐limited value.