title: Emergence of acoustic and optical bands in elastic systems.
abstract: Two elastic systems are considered in this work: A special linear chain of harmonic oscillators and a quasi one-dimensional vibrating rod. Starting in both cases with a locally periodic system formed by unit cells with a single element, these cells are converted into binary cells. The acoustic and optical bands then appear. For the vibrating rod experimental values are compared with theoretical results; in particular, the normal-mode amplitudes are obtained and the agreement is excellent.
authors: Instituto de Física, Universidad Nacional Autónoma de México, P.O. Box 20-364, 01000 México, Distrito Federal, Mexico.
authors: A
authors: A
authors: Díaz-de-Anda
authors: Instituto de Física, Universidad Nacional Autónoma de México, P.O. Box 20-364, 01000 México, Distrito Federal, Mexico.
authors: J
authors: J
authors: Flores
authors: Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, P.O. Box 48-3, 62251 Cuernavaca, Mor., Mexico.
authors: L
authors: L
authors: Gutiérrez
authors: Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, P.O. Box 48-3, 62251 Cuernavaca, Mor., Mexico.
authors: R A
authors: RA
authors: Méndez-Sánchez
authors: Instituto de Física, Universidad Nacional Autónoma de México, P.O. Box 20-364, 01000 México, Distrito Federal, Mexico.
authors: G
authors: G
authors: Monsivais
authors: Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, P.O. Box 48-3, 62251 Cuernavaca, Mor., Mexico.
authors: A
authors: A
authors: Morales