Betatron X-Rays from GeV Laser-Plasma-accelerated Electrons

X-rays are produced when laser-wakefield accelerated electrons oscillate in the transverse electrostatic field of the accelerating structure. The measured characteristics of these betatron x-rays follow scaling laws relating them to the electron energy, charge, plasma density, and other observables. Here we report on the x-rays produced by electrons accelerated to energies >1 GeV and investigate the scaling laws for photon number, critical energy, and beam divergence.