An injector and accelerator is analyzed that uses three collinear lase
r pulses in a plasma: an intense pump pulse, which generates a large w
ake field (greater than or equal to 20 GV/m), and two counterpropagati
ng injection pulses. When the injection pulses collide, a slow phase v
elocity beat wave is generated that injects electrons into the fast wa
ke field for acceleration. Particle tracking simulations in 1D with in
jection pulse intensities near 10(17) W/cm(2) indicate the production
of relativistic electrons with bunch durations as short as 3 fs, energ
y spreads as small as 0.3%, and densities as high as 10(18) cm(-3).