Spin-wave energies and respective band structures throughout the two-dimensional Brillouin zone are investigated in magnetic (cubic) thin films for the surface orientations sc(110), bcc(110) and fcc(110). We apply the Heisenberg localized spin model assuming exchange nearest (NN) and next-nearest (NNN) neighbour interactions and elucidate the role of the geometrical disposition of the NN and NNN neighbourhoods for the emergence of surface (SSW) and subsurface spin waves (SSSW). The necessary condition for the emergence of SSSW is found to require the NNN bonds to be cut at the surface obliquely thereto. [References: 11]
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