Nanopatterned electron beams for temporal coherence and deterministic phase control of x-ray free-electron lasers

We demonstrate the ability to create electron beams with high-contrast, nanometer-scale density modulations as a first step toward developing full control of the phase fronts of an x-ray free-electron laser. The nanopatterned electron beams are produced by diffracting electrons through thin single-crystal silicon membranes that are lithographically patterned to different thicknesses. For transform-limited x-ray production the desired pattern is a series of regularly spaced lines (i.e. a grating) that generate uniformly spaced nanobunches of electrons, however nearly any pattern can be etched in the silicon, such as frequency-chirps or multiple patterns of different colors or line spacings. When these patterns are transferred from the spatial to the temporal dimension by accelerator electromagnetic optics they will control the phase fronts of coherent x-rays, giving unprecedented deterministic control over the phase of ultrashort x-ray pulses. In short, this method allows the time-structure for a fully coherent x-ray beam to be generated from a pattern written on a semiconductor wafer by lithography.