Simultaneous measurements of high energy electrons and plasma-wave cha
racteristics have been conducted in a self-modulated laser-wakefield a
ccelerator. Approximately 10(8) electrons were accelerated from the ba
ckground plasma to energies greater than 1 MeV with a peak energy of a
pproximately 30 MeV. A strong correlation between the plasma-wave ampl
itude and electron production was measured with no evidence of wave br
eaking. Simulations indicate plasma electrons are trapped by the low-p
hase-velocity beat waves produced by backward Raman scattering.