The purpose of this study is to reduce the acoustic energy scattered from a body towards one or several directions using secondary sources. The criterion for the minimization of this energy leads to a relation that gives directly the amplitudes of emitters as functions of integrals over a chosen boundary (a sphere of infinite radius for example, or any restriction over that sphere), where both primary perturbation potential and secondary emitter potentials appear. The first part of the paper gives the theoretical derivation of secondary source amplitudes for an arbitrary body. In the second part, the method is then applied to a rigid finite cylinder submitted to a plane wave, and numerical results for echo minimization are given.
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