LINTON, C.M. and MCIVER, M., 2002. The existence of Rayleigh–Bloch surface waves. Journal of Fluid Mechanics, 470, pp. 85-90
Rayleigh–Bloch surface waves arise in many physical contexts including water waves and acoustics. They represent disturbances travelling along an infinite periodic structure. In the absence of any existence results, a number of authors have previously computed such modes for certain specific geometries. Here we prove that such waves can exist in the absence of any incident wave forcing for a wide class of structures.