• Scattering of impulsive elastic waves b a fluid cylinder

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    • Keywords

       

      Elastic waves; scattering; dual integral transformation; geometrical optics

    • Abstract

       

      We consider the scattering of impulsive sv waves by a fluid circular cylinder. The cylinder is embedded in an unbounded isotropic homogeneous elastic medium and it is filled with some acoustic fluid. The line source, generating the incident pulse is situated outside the cylinder parallel to its axis. We investigate the problem by the method of dual integral transformation as developed by Friedlander. The resulting integrals are evaluated approximately to obtain the short time estimate of the motion near the wave-front in the illuminated region of the elastic medium. We also interpret the approximate solution in terms of geometrical optics.

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  • Proceedings – Mathematical Sciences | News

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