Abstract
The exterior acoustic problem is considered for a periodically corrugated cylinder, with an impedance boundary condition. The existence of surface waves along the cylinder is investigated by using the null field approach. The axial wavenumber of the surface wave is determined numerically as the frequency, the boundary condition, or the period of the corrugations varies. The modes on the surface have some features which are essentially identical to the modes inside the cylindrical duct; i.e., two modes that propagate in opposite directions interact destructively leading to a stop band, when the real parts of their axial wavenumbers coincide. But in contrast to the interior problem, there are intervals of the impedance condition in which only leaky waves exist and, also in contrast to guided modes, there seems to exist an upper cutoff frequency. No indication of the existence of surface waves on a sound-hard cylinder has been found.
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