Abstract
The phase shift analysis is applied to the absorption and scattering of plane waves by spherical and circular cylinder regions. The boundary condition on the surface of these regions is expressed in terms of an impedance. A method of calculating the required phase shifts and corresponding scattering and absorption cross sections is presented together with the necessary tables. It is found that when the reactive part of the impedance is capacitative, resonance phenomena can occur. Approximate cross sections for low and high frequencies are given. It is shown that at low frequencies, acoustic treatment of scattering surfaces will, in general, increase the scattering and, therefore, their ability to increase the diffusion of sound in a room.
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