Abstract
Numerical results are obtained for a finite circular elastic cylinder with spherical end caps using Waterman’s T-matrix method. In addition to the important practical applications that this geometry has in underwater acoustics, for the first time this method is applied to elastic scatterers that have a discontinuity in the first derivative of the normal to the surface. This makes the problem numerically difficult and is a good test of the effectiveness of the T-matrix method. The frequency dependence of the backscattering cross section is presented for a cylinder whose overall length is twice its diameter. Our results are compared with experiments showing excellent agreement.
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