Abstract
An algorithm is developed for the reconstruction of the surface acoustic field from measurements of pressure made in the far field for a structure with arbitrary geometry. The boundary elements method is applied. The presence of the evanescent-like field is treated by expanding surface normal velocity in a set of functions that form the eigenstates of radiated power, computed by diagonalizing the surface resistance operator. The result of the reconstruction is the observable part of the surface normal velocity that generates the far-field radiation and does not include the evanescent-like field that decays very rapidly away from the surface. The algorithm is tested by applying it to scattering from a rigid cylinder with hemispherical endcaps. It is also applied to the radiation problem of a small piston located on the same cylinder, where the resolution attained on the surface for this ill-posed problem is shown to increase with increasing frequency.
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