Abstract
The scheme of the x-ray free electron laser based on the optical undulator created by two overlapped transverse laser beams is analyzed. A kinetic theoretical description and an ad hoc numerical model are developed to account for the finite energy spread, angular divergence, and the spectral properties of the electron beam in the optical lattice. The theoretical findings are compared to the results of the one- and three-dimensional numerical modeling with the spectral free electron laser code plares.
Highlights
The powerful sources of x rays are becoming indispensable tools in science, technology, and medicine
We have presented a kinetic theory of the linear regime of the x-ray or x-ray and extreme ultraviolet (XUV) amplification in the electron beam, which travels in a laser-induced transverse optical lattice
The theory accounts for the energy spread and angular divergence of electron beam
Summary
The powerful sources of x rays are becoming indispensable tools in science, technology, and medicine. The SR sources of the last generation—the x-ray free electron lasers (XFELs)—have reached record GW powers for the ångström wavelengths operating in the coherent regime [1] This regime is provided by the high stability of the beam-undulator interaction, when individually emitting electrons get progressively involved in the process of stimulated scattering and amplify the light in a collective fashion [2]. Potential channels affect the collective behavior of the electrons, predisposing them to a new mechanism of amplification similar to the stimulated Raman scattering [23] Such a scheme involves the travelingwave technique which has been proposed and discussed in the context of the optical lattice in Ref.
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