paper

Coherent -pulse emitted by a dense relativistic cold electron beam

arXiv:1705.04388 · doi:10.1007/s13538-018-00625-6

Abstract

Starting from a three-wave interaction system of equations for free-electron lasers in the framework of a quantum fluid model, we show that these equations satisfy the Sine-Gordon equation. The full solution in space and in time of this set of equations are numerically obtained.

9 pages, 7 figures