The beating between two colinear Nd-YLF (lambda = 1.053 mu m, tau = 90
ps) and Nd-YAG (lambda = 1.054 mu m, tau = 160 ps) lasers in a homoge
neous plasma (n(c) = 10(17) cm(-3)) generates intense relativistic pla
sma waves associated with a high longitudinal electric field of the or
der of 1 GV m(-1). In the conditions of the experiment, these electron
plasma waves couple with ion waves in the regime of modulational inst
ability as it has been demonstrated by electric field amplitude and sa
turation time measurements by Thomson scattering. When 3 MeV energy el
ectrons are injected into the plasma, several hundreds of electrons ac
celerated up to 3.7 MeV are observed in correlation with the Thomson s
cattering signal associated to the plasma waves. This result is in agr
eement with a numerical simulation which takes into account the relati
ve focussing geometry of electron and laser beams.