A simple three-dimensional free electron laser code

Abstract

We present a simple and inexpensive computer code for free electron laser (FEL) operation that includes high gain and inhomogeneous broadening effects. The code is based on analytical formulae, obtained within the context of the theory of FEL approximants, requires negligible CPU time, and may run on small computers.

Longitudinal dynamics of high gain free electron laser amplifiers

“…at the cost of a few complications, due to the computation of the action of the transverse Laplacian r 2 ? on the field amplitude [10].…”

Microwave-induced control of free-electron-laser radiation

“…Since the bunch injection energy is high, the dynamics encloses two very different space-time scales, namely, that of the undulator's field and that corresponding to the output radiation, which differ typically by a factor γ 2 . This disparity becomes a limiting difficulty for the numerical integration of the evolution equations, which is usually overcome by using the appropriate slowly varying envelope approximations, along with the projections on the field cavity modes [18][19][20]. In this work we have chosen an alternative procedure [21] which computes the radiated field from the superposition of the Liénard-Wiechert fields [22] emitted from every pseudoparticle (see below) of the bunch.…”