It is shown that by introducing a phase shift between the signal microwave pulse and the double-frequency pumping pulse in a parametric spin-wave amplifier it is possible to effectively control the shape of the output microwave pulse. The observed pulse shaping results from the interference of a signal pulse with copropagating "idle" pulse parametrically excited by pumping and with the parasitic standing spin waves amplified by pumping from the thermal level. This interpretation is supported by the numerical simulation and by the results of a time-resolved Brillouin light scattering experiment.
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