Reality of the eigenfrequencies of periodic elastic composites

descriptionPublicationkeyboard_double_arrow_right Article 15 Jun 1995 English Publisher:American Physical Society (APS)Journal:Physical Review B, volume 51, pages 17,181-17,183 (issn: 0163-1829, eissn: 1095-3795,

Copyright policy )

Authors: , Hernández-Cocoletzi; , Krokhin; , Halevi;

doi: 10.1103/physrevb.51.17181

pmid: 9978731

Reality of the eigenfrequencies of periodic elastic composites

- Summary
- Metrics

Abstract

We analyze the properties of the eigenvalue problem for acoustic waves propagating in a three-dimensional periodic, elastic composite. Although the acoustic eigenvalue problem is not Hermitian, we prove that the eigenfrequencies are real for an arbitrary crystal structure and arbitrary filling fraction of the binary composite.

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	8
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average