The results of a theoretical study of the dispersion characteristics of hybrid electromagnetic-spin waves propagating in the structure of a magnonic crystal - ferroelectric are presented. It is shown that as a result of phase synchronism of waves in the band of the first Bragg resonance, two bandgaps are formed in the spectrum: the main one is the Bragg one and the additional one is hybrid. The influence of the magnetic and electrical nonlinearity of the media on the position of the bandgaps in the spectrum of propagating waves is investigated. It was revealed that taking into account magnetic nonlinearity leads to a shift of both bandgaps down in frequency, taking into account electric nonlinearity leads to a shift of only the hybrid bandgap up in frequency.
magnonic crystal, ferroelectric, multiferroic, hybrid electromagnetic-spin waves, Bragg resonance, Kerr effect
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