Abstract

Starting with an exact point source impulse solution for diffraction and reflection from an infinite wedge, the acoustic field is calculated for plane waves scattered by a periodic assemblage of pressure release or rigid wedges. The calculated angles and fractional strengths of the diffracted orders compare very well with predictions of exact theories for scattering from diffraction gratings. Under otherwise identical conditions, the change in the wedge impedance to describe rigid or pressure release boundary conditions can cause dramatic changes in the energy distribution. This work validates the use of the wedge assemblage technique of numerical calculation for cases in which the wedge separations are as little as one-half wavelength. It is shown that in this realm only diffractions are important, and that facet reflections do not contribute to the scattered energy.

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