Parametric Bragg resonances in waves on a shallow fluid over a periodically drilled bottom - art. no. 011204

Bragg resonances involving strong interactions among Fourier wave component s of a periodically drilled bottom and parametrically driven surface waves on a shallow liquid are experimentally shown to break down the secular disp ersion relation of surface waves. When the fluid is sufficiently shallow, w ave components that match reciprocal wave vectors of the bottom topography are dominant. Experimental evidence of band-gap phenomena in these surface waves are also shown. Moreover, the prevalence of Bragg resonances is so st rong that one of them is excited anomalously within the band gap.