Abstract
When a thin tilted circular plate is illuminated with high-frequency sound, a significant enhancement occurs when the angle of incidence corresponds to the extensional wave coupling angle. It has been found that there are two mechanisms responsible for this enhancement. The largest response is due to the extensional leaky wave which travels along the diameter and reflects from the plate edge. This can be modeled in the thin-plate limit using a Gaussian beam model which was first developed for the reflection of leaky Rayleigh waves on tilted truncated cylinders [K. Gipson and P. L. Marston, J. Acoust. Soc. Am. 107, 112–117 (2000)]. The second response is due to extensional waves traveling along off-diameter paths. When these waves strike the plate edge, they mode-convert into shear waves. These shear waves cross the diameter to strike the opposite edge and mode-convert into extensional waves which then reradiate back towards the source. Since the shear waves do not leak energy into the water, this enhancement has a relatively slow decay as the waves undergo multiple reflections around the plate edge. The Gaussian beam model has been extended to quantitatively model this enhancement in the thin-plate limit. [Work supported by ONR.]
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