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Scattering of Elastic Waves in a Quasi-One-Dimensional Cavity: Theory and Experiment

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Báez G., Cobián-Suárez M., Martínez-Argüello A., Martínez-Mares M., Méndez-Sánchez R.
Acta Physica Polonica A
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2013
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vol. 124
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issue 6
1069-1073
EN
We study the scattering of torsional waves through a quasi-one-dimensional cavity both from the experimental and theoretical points of view. The experiment consists of an elastic rod with square cross-section. In order to form a cavity, a notch at a certain distance of one end of the rod was grooved. To absorb the waves, at the other side of the rod, a wedge, covered by an absorbing foam, was machined. In the theoretical description, the scattering matrix S of the torsional waves was obtained. The distribution of S is given by Poisson's kernel. The theoretical predictions show an excellent agreement with the experimental results. This experiment corresponds, in quantum mechanics, to the scattering by a delta potential, in one dimension, located at a certain distance from an impenetrable wall.
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