Devoted to the problem of sound wave scattering by elastic cylindrical objects in a plain acoustic waveguide. The Multi-Modal Integral Method is proposed. It is shown that the implementation of the method requires few computer resources for good accuracy of the solution.

The problems of the scattering of waves from an obstacle, no matter in which field of physics they are being considered, exhibit an essential similarity. This similarity extends from the scattering of sound waves by an elastic object (acoustics) over elastic wave scattering from a cavity (geophysics and materials testing) to the problems of particle scattering from particles and nuclei (high energy and nuclear physics). While historically, progress has been made along different lines in the various fields, it has become clear that more may be learned by applying the methods of one field of physics in another one, and vice versa, so that the basic similarities of the scattering problem may be exhibited and exploited. The Breit-Wigner resonance scattering formalism of nuclear physics is applied to both acoustic and elastic wave scattering (essentially another way of exhibiting the Regge poles), and relate the resonances to the eigenvibrations of the scattering object.