Stimulated Brillouin backscattering (SBBS) from a short-pulse laser, w
here the pulse length is short compared to the plasma length, is found
to be qualitatively different than in the long pulse regime, where th
e pulse length is long compared to the plasma length. After an initial
transient of order the laser pulse length transit time, the instabili
ty reaches a steady state in the variables x'=x-V(g)t, t'=t, where V-g
is the pulse group velocity. In contrast, SBBS in a long pulse can be
absolutely unstable and grows indefinitely, or until nonlinearities i
ntervene. The motion of the laser pulse induces Doppler related effect
s that substantially modify the backscattered spectrum at higher inten
sities, where the instability is strongly coupled (i.e., has a growth
rate large compared to the ion acoustic frequency). (C) 1995 American
Institute of Physics.