On the existence of embedded surface waves along periodic
arrays of parallel plates.
D.V. Evans & R. Porter (submitted)
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.
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