A solution is obtained for the general problem of the nonstationary interac
tion of backward volume magnetostatic waves in films of yttrium-iron garnet
with local parametric pumping. In the case of a large pump region, l much
greater than lambda, where lambda is the wavelength of the backward volume
magnetostatic waves, the problem reduces to a system of truncated equations
for two packets of counter propagating waves. In the opposite case, l <lam
bda, the exact problem of parametric interactions of the eigenmodes of a fe
rrite film (both counterpropagating and in the same direction) is solved nu
merically. Both cases are studied experimentally and good qualitative and q
uantitative agreement is obtained with the theory. For the first time, the
reversal of a wave front and the time reversal of the shape of backward vol
ume magnetostatic wave pulses are observed and a change in the propagation
time for the peak of the signal pulse and a reduction in its width owing to
pumping are recorded. Two operating regimes are identified for a nonstatio
nary parametric backward volume magnetostatic wave amplifier with local pum
ping, which differ in the ratio of the duration of the pump pulse to the tr
ansit time for the wave through the local pump region, and the effect of th
e parametric excitation of two-dimensional spin waves on the interaction of
backward volume magnetostatic waves with a local nonstationary parametric
pump is determined. (C) 1999 American Institute of Physics. [S1063-7761(99)
02512-3].