Abstract
The periodic structure of the backscattered spectrum of elastic and acoustic waves from smooth obstacles has been indicative of diffraction effects similar to the geometrical diffraction concepts in optics. The waves do go around the obstacle (diffraction) and consequently one observes periodic multiple echo returns. Such circumferential waves have been named Franz waves, after W. Franz who first discussed the existence of such creeping waves in his work on the diffraction of electromagnetic waves by conducting spheres and cylinders. In the present paper we present a Franz wave analysis of the backscattered spectrums of spheroids and finite cylinders of various aspect ratios. The backscattered spectrum is calculated using the T‐matrix approach, and a Franz wave velocity is predicted for spheroidal and cylindrical obstacles. Comparisons of the acoustic and elastic cases are made wherever possible.
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