Interpretation of the band-structure results for elastic and acoustic waves by analogy with the LCAO approach
- 1 November 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 52 (18) , 13317-13331
- https://doi.org/10.1103/physrevb.52.13317
Abstract
The band-structure results for elastic and acoustic waves propagating in a composite (consisting of periodically placed spheres in a host material) are analyzed by employing the frequency dependence of the scattering cross section from a single sphere. Two limiting modes of propagation can be visualized. According to the first the wave propagates mainly through the host material; according to the second the wave hops coherently from a sphere to its neighbors using the resonances in the single-sphere scattering cross section. This second mode is the analog of the linear combination of atomic orbitals in electronic propagation, with the atomic orbitals replaced by the resonances.This publication has 22 references indexed in Scilit:
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