Radially confined relativistic-electron-beam equilibria for longitudinal wiggler free-electron-laser applications

Helically Distorted Relativistic Electron Beam Equilibria for Free Electron Laser Applications

The purpose of this paper is to develop a self-consistent kinetic description of helically distorted relativistic electron beam equilibria for free electron laser applications. In particular, radially confined equilibria are considered for a helically distorted electron beam propagating in the combined transverse wiggler and uniform axial guide 0 fields described by B =B oz+6=Bo z-Bcosk zkxBsin...

Nonlinear Travelling-wave Equilibria for Free Electron Laser Applications

The class of large-amplitude travelling wave solutions to the nonlinear Vlasov-Maxwell equations are investigated in which the wave pattern is stationary in a frame of reference moving with the pondermotive phase velocity v = p w/(k + k0). Here, X0 = 27r/k 0 is the wavelength of the transverse helical wiggler field, and (wk) are the frequency and wavenumber of the saturated radiation field whic...

Chaotic electron dynamics for relativistic-electron-beam propagation through a planar wiggler magnetic field.

It is shown that the motion of an individual test electron in a low-density relativistic electron beam propagating through a realizable planar-wiggler magnetic field is nonintegrable and can become chaotic. The chaoticity, which is induced by the transverse spatial inhomogeneities in the wiggler field, poses limits on the wiggler field amplitude and the beam size for beam propagation and free e...

Pfc-ja-81-8 Free Electron Laser Instability for a Relativ- Istic Solid Electron Beam in a Helical Wiggler Field

Theory of Free Electron Laser Instability in a Relativistic Annual Electron Beam

A self-consistent theory of the free electron laser instability is developed for a hollow electron beam propagating through an undulator (multiple mirror) magnetic field. The stability analysis is carried out within the framework of the linearized Vlasov-Maxwell equations. It is assumed that the beam is thin, with radial thickness much smaller than the mean beam radius, and that v/yb << 1, wher...