Abstract
Besides the circumferential waves [R. D. Doolittle, H. Überall, and P. Uginčius, J. Acoust. Soc. Amer. 43, 1–14 (1968)], transmitted waves play an important role in the diffraction of sound waves from an elastic cylinder. Extending our results for liquid cylinders as reported previously [D. Brill and H. Überall, J. Acoust. Soc. Amer. 46, 116–117 (1969)], we have derived a generalized vander Pol-Bremmer expansion of the scattering amplitude from an elastic cylinder that mathematically describes the following: (a) an incident compressional wave gets refracted into the cylinder, thereby splitting into a compressional and a shear wave; (b) each of these either re-emerges from the cylinder as a compressional wave; or (c) gets reflected back into the cylinder, thereby each splitting again into a compressional and a shear wave; (d) this process repeats ad infinitum. [Supported by Project Themis in Under-Ocean Acoustics at Catholic University.]
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