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arXiv · 1309.3482

Scattering of Elastic Waves in a Quasi-one-dimensional Cavity: Theory and Experiment

G. Báez·M. Cobián-Suárez·A. M. Martínez-Argüello·M. Martínez-Mares·R. A. Méndez-Sánchez
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Abstract

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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G. Báez, M. Cobián-Suárez, A. M. Martínez-Argüello, M. Martínez-Mares, R. A. Méndez-Sánchez. 2013-09-13. Scattering of Elastic Waves in a Quasi-one-dimensional Cavity: Theory and Experiment. https://doi.org/10.12693/aphyspola.124.1069

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