  A dependence of a relaxation rate on the shape of the demagnetized region for
a longitudinal evolution of total magnetization to its equilibrium value
following the ultrafast demagnetization is demonstrated. This shape-dependence
is caused by a motion of the wave front inside the demagnetized region. The
contribution of the wave front for spherically symmetric shape of the
demagnetized region is up to 3 times and for cylindrically symmetric shape up
to 2 times stronger than for one dimensional demagnetized region. This effect
can be observed after the demagnetization by a tightly focused femtosecond
laser pulse.
