An experimental study of ultrasonic beam reflection from fluid-loaded cylindrical shells
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Over the past forty years, the problem of nonspecular reflection of bounded beams from fluid-solid interfaces has been studied extensively. Early studies by Schoch and Bertoni and Tamir have concentrated on planar structures, both halfspaces and plates. More recent studies of reflection of sound from cylinders have concentrated on effectively planar incident fields, where the sound wave field does not vary appreciably over the cylinder diameter.
The problem discussed here, nonspecular Gaussian beam reflection from cylindrical shells, differs from the previous studies in that the incident field has a substantial spatial variation over the cylinder radius. Zeroug and Felsen studied the theoretical aspects of nonspecular reflection of divergent and collimated beams from planar and cylindrical interfaces. In their analysis, the plane interface results were extended to the cylindrical case by mapping the problem geometry to cylindrical coordinates 'k and solving in terms of cylinder functions, while assuming locally planar conditions.