“…Linear electron-positron colliders need asymmetric emittances and polarized electrons, with the smaller vertical emittance required to be of the order of 0.01 mm mrad. The asymmetric emittance, i.e., flat beams (see [5] and references therein), are needed to reduce the beam-induced synchrotron radiation (beamstrahlung [6][7][8][9]) at the interaction point. Since one of the laser plasma accelerator advantages is the short, compared to conventional ones, acceleration length (the 4.25 GeV electron beams were produced using a 9 cm long capillary [3]), it is desirable important to keep the size of the transport and focusing sections of such accelerators of the same order.…”