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We present the application of a general Green function formalism to the study of near- and far-field scattering of an incident acoustic plane wave by a perturbation (an inhomogeneity) existing at the planar surface of a substrate. The perturbing element will be a supported wire which, in principle, can have an arbitrary shape and composition. Considering the case of shear horizontal vibrations, we discuss for a wire of parabolic section the behavior of the scattered field as a function of frequencyω, of material parameters, and of incidence angle. At normal incidence, typical behaviors depend on the relative impedance and sound velocity of both materials. For an oblique incidence, there are a large variety of cases depending on ω and on material parameters; one typical behavior will be the predominance of a scattered wave towards the specular reflection direction. © 1997 American Institute of Physics.