Fig. 4: GeV-energy electron acceleration and emittance maintenance within a DMP.

Snapshots of electron density distribution in (a–c), transverse focusing field in (d–f), on-axis longitudinal field in (g–i) of the wake at different z. The insets in (g–i) represent the corresponding electron energy phase space distribution. j Evolution of the energy (black solid line) and RES (red solid line) for the electron bunch with the same beam charge of 1 pC, short duration of 4 fs and transverse size of 2 μm, while performing the DMP, in comparison with the flat-profile plasma (the dash lines). k Evolution of the beam emittance along its propagation for the DMP case.