Spatial recurrence for nonlinear magnetic excitations has been observed. The recurrence was produced from the induced modulational instability of two input magnetostatic backward volume waves in a thin yttrium iron garnet film. The nominal frequency, frequency separation, and wave number were 5.5 GHz, 8 MHz, and 100 rad/cm, respectively. The spatial recurrence of the temporal wave form included frequency doubling and cnoidal profiles. A superposition of modes based on the observed Fourier makeup of the signals and calculated nonlinear phase shifts gave a response which matched the data.
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Scott et al. (2003) studied this question.
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