Abstract
Earlier work on the acoustic wedge problem mainly dealt with an impenetrable wedge, including the work of Sommerfeld (1896), Bromwrich (1915), Carslaw (1920), and Oberhettinger (1954, 1958). The present investigation assumes a line source parallel to the edge of the wedge, and extends Oberhettinger’s approach for the scattering of a sound wave from the edge of a perfectly reflecting wedge, to the case that the field does not satisfy a Dirichlet or Neumann boundary condition on the wedge surface, but an impedance boundary condition. Such a condition is capable of describing the effect of a lossy coating on the wedge surface as shown for the electromagnetic case (Überall, 1964, 1966), and the corresponding impedance for the acoustic case has been obtained here for one, two, and multiple layers of coating. Numerical results for the wedge-scattered sound intensity will be presented and discussed.
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