“…The current record of accelerated electron energy is close to one gigaelectronvolt (GeV) (Clayton et al, 2010;Froula et al, 2009;Kneip et al, 2009;Leemans et al, 2006;Liu et al, 2011). Furthermore, ongoing introduction of sub-150 fs, compact, high repetition rate petawatt (PW) lasers (Aoyama et al, 2003;Gaul et al, 2010;Hein et al, 2006;Korzhimanov et al, 2011;Sung et al, 2010) opens possibilities beyond the GeV energy frontier (Gorbunov et al, 2005;Kalmykov et al, 2010a;Lu et al, 2007;Martins et al, 2010), enabling further steps towards practical designs of high-brightness x-(a) Normalized electron density (b) Accelerating gradient, −E z (in GV/cm) Fig. 1.…”