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We show using particle-in-cell (PIC) simulations and theoretical analysisthat a high-quality electron beam whose density is modulated at angstrom scalescan be generated directly using density downramp injection in a periodicallymodulated density in nonlinear plasma wave wakefields. The density modulationturns on and off the injection of electrons at the period of the modulation.Due to the unique longitudinal mapping between the electrons' initial positionsand their final trapped positions inside the wake, this results in an electronbeam with density modulation at a wavelength orders of magnitude shorter thanthe plasma density modulation. The ponderomotive force of two counterpropagating lasers of the same frequency can generate a density modulation athalf the laser wavelength. Assuming a laser wavelength of $0.8\micro\meter$,fully self-consistent OSIRIS PIC simulations show that this scheme can generatehigh quality beams modulated at wavelengths between 10s and 100 angstroms. Suchbeams could produce fully coherent, stable, hundreds of GW X-rays by goingthrough a resonant undulator.

Generation and acceleration of high brightness electrons beams bunched at X-ray wavelengths using plasma-based acceleration