Optimization of compton source performance through electron beam shaping

Abstract

Abstract. We investigate a novel scheme for significantly increasing the brightness of x-ray light sources based on inverse Compton scattering (ICS) -scattering laser pulses off relativistic electron beams. The brightness of ICS sources is limited by the electron beam quality, since electrons traveling at different angles, and/or having different energies, produce photons with different energies. Therefore, the spectral brightness of the source is defined by the 6D electron phase space shape and size, as well as laser beam parameters. The peak brightness of the ICS source can be maximized, then, if the electron phase space is transformed in a way such that all electrons scatter off the x-ray photons of same frequency in the same direction, arriving to the observer at the same time. We describe the x-ray photon beam quality through the Wigner function (6D photon phase space distribution), and derive it for the ICS source when the electron and laser rms matrices are arbitrary.

Phase-Space Manipulations of Electron Beams for X-Ray Free-Electron Lasers and Inverse Compton Scattering Sources [Thesis]

“…(4.19) validating both, the advanced formalism of this section and a simple assumption of substituting the elliptical surface of integration with the plane 13 . We reported in [115] that the radiation spectrum represented by the longitudinal component of the Wigner function becomes blue-shifted if the incoming laser pulse is strongly focused: σ x,y ∼ σ z . This result was derived by approximating the elliptical surface of integration g(k) = k−βk−k 0 = 0 with the tangent parabolic surface with the same radius of curvature in the point (k = − k0 1+β , θ = 0), where the integrand expression reaches its maximum on the surface.…”