Abstract
In this work we derive surface integral formulae for the frequency dependent power operator in arbitrary geometries. This operator is combined with layer representations and measured pressure (or normal velocity) near-field holograms to construct a non-negative intensity distribution quantifying the areas of the vibrating structure that produce radiation to the far-field. It is demonstrated that the sound producing regions of the structure are clearly revealed using the derived formulae and that the spatial resolution is limited to a half-wavelength. We validate our methodology using numerically generated data that corresponds to the excitation of an elastic spherical shell by a point force.
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