Type
ArticleKAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Date
2012-10-16Preprint Posting Date
2012-08-31Permanent link to this record
http://hdl.handle.net/10754/553008
Metadata
Show full item recordAbstract
We present a lumped model for the rotational modes induced by the rotational motion of individual scatterers in two-dimensional phononic crystals comprised of square arrays of solid cylindrical scatterers in solid hosts. The model provides a physical interpretation of the origin of the rotational modes, reveals the important role played by the rotational motion in determining the band structure, and reproduces the dispersion relations in a certain range. The model increases the possibilities of manipulating wave propagation in phononic crystals. In particular, expressions derived from the model for eigenfrequencies at high symmetry points unambiguously predict the presence of a new type of Dirac-like cone at the Brillouin center, which is found to be the result of accidental degeneracy of the rotational and dipolar modes.Citation
Lumped model for rotational modes in phononic crystals 2012, 86 (13) Physical Review BPublisher
American Physical Society (APS)Journal
Physical Review BarXiv
arXiv:1208.6526ae974a485f413a2113503eed53cd6c53
10.1103/PhysRevB.86.134304