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“Background Photonic-phononic crystals, also referred to as phoxonic crystals [1–4], are of great interest as their dual photonic and phononic bandgaps allow the simultaneous control of photon and phonon propagation in these crystals. Another class of metamaterials possessing dual-excitation bandgaps is magnonic-phononic or magphonic crystals [5–7]. Although less well known than phoxonic materials, they too have promising application potential because of the possibility

of the simultaneous control and manipulation of magnon and phonon propagation in them. Hence, they are potentially more useful technologically than either solely magnonic or phononic crystals which depend on a single type of excitation, namely magnons or phonons, as the respective information carrier. Magphonic crystals were theoretically studied by Nikitov et al. in 2008 [5]. Recently, Zhang et al. experimentally studied Microtubule Associated inhibitor these materials in the form of a two-dimensional (2D) chessboard-patterned array of cobalt and Ni80Fe20 (Permalloy, Py) dots [6], and one-dimensional (1D) periodic arrays of alternating Fe (or Ni) and Py nanostripes on SiO2/Si substrates (henceforth referred to as Py/Fe(Ni)) [7]. As the materials of the elements of these bicomponent arrays are both metals, namely either Py/Co, Py/Fe, or Py/Ni, the elastic and density contrasts between adjacent elements are rather low. In general, the phononic bandgap width increases with elastic and density contrasts [8, 9]. Indeed the phonon bandgaps of the 1D and 2D structures measured by Zhang et al.