The three-dimensional evolution of a short laser pulse is considered.
The linear stability analysis that takes account of the scattered ligh
t convection and predicts a development of pulse modulation at the ele
ctron plasma frequency, is carried out. lt is demonstrated that a lase
r pulse with a power above or close to the critical, which is required
to provide a pulse relativistic self-focusing, undergoes compression
and self-modulation in the course of self-consistent pulse evolution a
nd, as a result, resonant excitation of an extremely strong plasma wav
e occurs. lt is shown that for a properly taken initial pulse and plas
ma parameters it is possible to obtain a wake field of an extremely hi
gh intensity for a fairly long time to provide a new promising outlook
for the laser accelerator concept. The influence of plasma inhomogene
ity and pulse initial focusing on the considered self-resonant plasma
wave excitation is studied.