Abstract
Circular patches, or long strips, of sound absorbent material are on the surface of an infinite perfectly reflecting plane. Exact solutions are found for the absorption of perpendicularly incident plane waves, and of randomly incident waves, on a circular piston-like absorber. An exact solution is found for the absorption of perpendicularly incident plane waves on an infinitely long strip-piston absorber. The basis of the technique is representation of the total wave field by superposition of an incident plane wave, a specularly reflected plane wave, and a scattered wave. The last-named is in turn represented by a superposition of plane waves for the strip piston, and by a superposition of cylindrical waves for the circular piston absorber. The superposed wave fields are adjusted to meet the boundary conditions.
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