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Particle-in-cell(PIC) simulation results of sustained acceleration of electron-positron plasmas by comoving electromagnetic (EM) pulses are presented. When a thin slab of overdense plasma is irradiated with linear-polarized ultra-intense short laser pulses from both sides, the pulses are transmitted when the plasma is compressed to thinner than relativistic skin depths. A fraction of the plasma is then captured and efficiently accelerated by self-induced forces. For laser and intensity, the maximum energy exceeds GeV in a picosecond.


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