The invention relates to a method of amplifying a laser beam which
includes steps consisting in performing an optical pumping of an
amplifying crystal so as to inject into the crystal an optical pumping
energy E.sub.total, amplifying the laser beam by means of the amplifying
crystal and an optical system with N passes, that is, designed to inject
the laser beam into the amplifying crystal N times, N being an
integer>1. The optical pumping is temporally divided into n partial
pumpings, the optical energy of a partial pumping being a fraction of
E.sub.total, n being an integer 2.ltoreq.n.ltoreq.N and in that the laser
beam is injected into the amplifying crystal at least once after each
partial pumping.