Scattering of Elastic Waves in a Quasi-One-Dimensional Cavity: Theory and Experiment |
| G. Báez, M. Cobián-Suárez
Universidad Autónoma Metropolitana-Azcapotzalco, A.P. 21-267, 04000 México D.F., Mexico A.M. Martínez-Argüello, M. Martínez-Mares Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, A.P. 55-534, 09340 México D.F., Mexico and R.A. Méndez-Sánchez Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, A.P. 48-3, 62210 Cuernavaca Mor., Mexico |
| Full Text PDF |
| 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. |
DOI: 10.12693/APhysPolA.124.1069 PACS numbers: 46.40.Cd, 62.30.+d, 03.65.Nk, 73.21.Fg |