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We map the band structure of surface acoustic modes of a periodic array of copper lines embedded in a SiO 2 film on a silicon substrate by means of the laser-induced transient grating technique. A detailed map of the lowest sheet of the ω(k) surface and partial maps of two higher-order sheets are obtained. We discuss the topology of the ω(k) surface and explain how it arises from the Rayleigh and Sezawa modes of the film/substrate system. In the vicinity of the bandgap formed at the Brillouindoi:10.1088/1367-2630/13/1/013037 fatcat:dwdln5bmebcfha7jrsrlrxxncu