Decoherence in spin wave propagation via precursor pulses during signal equilibration

The processes for generation, amplification, and protraction of oscillating signals-often for information transfer-are inherently associated with dispersive decoherence and nonlinear phenomena. One such example is the case of wave patterns of non-negligible amplitudes that can emerge due to dispersion of a signal propagating through matter; for a continuously applied drive these patterns precede the main signal. Here, we investigate how spin wave generation inherently results in dispersive decoherence in the form of precursors. By quantifying three different frequency regimes, we investigate how decoherence is affected, or predetermined by the shape of the spin wave dispersion relation and, what is perhaps most interesting, it does not require non-linearity. Understanding the relationship between spin wave dispersion and decoherence can enable engineering magnonic devices supporting well-resolved signals for magnonic computing and signal processing.