On the Existence of Embedded Surface Waves Along Arrays of Parallel Plates

Abstract

The method of residue calculus is used to investigate the existence of embedded surface waves along an infinite periodic comb-like grating of thin plates. Solutions are shown to correspond to two conditions being satisfied. For sufficiently long plates the existence of solutions is proved, whilst results derived from simple formulae based on a long plate approximation are shown to be in excellent agreement with results to the full system of equations.