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Theoretical study of three dimensional elastic band gaps with the finite-difference time-domain method
Abstract
This work presents results on finite-difference time-domain (FDTD) integration of the full three dimensional elastic wave equation in nonhomogenous periodic media, for understanding the propagation and gap existence in these media. Extensive calculations are compared with plane wave expansion (PWE) data for different three dimensional systems consisting of Pb spheres in epoxy matrix forming an fcc lattice. The method of solving the wave equation provides good convergence and the agreement with the PWE method is excellent. The FDTD method, however, can handle cases such as fluids in solids which cannot be treated with the PWE method. Transmission results are presented for the case of Hg spheres in Al with fcc lattice, in order to prove the general use of the FDTD method.
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Cited by
Two-dimensional phononic crystals: Examples and applications
Pennec, Y., Vasseur, J. O., Djafari-Rouhani, B., Dobrzyński, L., & Deymier, P. A. (2010) · Surface Science Reports · doi:10.1016/j.surfrep.2010.08.002 · Cited by 592
Guiding and bending of acoustic waves in highly confined phononic crystal waveguides
Khelif, A., Choujaa, A., Benchabane, S., Djafari-Rouhani, B., & Laude, V. (2004) · Applied Physics Letters · doi:10.1063/1.1757642 · Cited by 527
Tunable filtering and demultiplexing in phononic crystals with hollow cylinders
Pennec, Y., Djafari-Rouhani, B., Vasseur, J. O., Khelif, A., & Deymier, P. A. (2004) · Physical Review E · doi:10.1103/physreve.69.046608 · Cited by 349
A Review of Acoustic Metamaterials and Phononic Crystals
Liu, J., Guo, H., & Wang, T. (2020) · Crystals · doi:10.3390/cryst10040305 · Cited by 261
“The finite-difference time-domain method [29,30] discretizes partial differential equations by discretizing time and space, transforms the partial differential equations into differential equations, and then uses numerical calculation methods to solve all vibrations at three points during wave propagation.”
Method
Metadata
- Authors
- Sigalas, M. M., & Garcı́a, N.
- Venue
- Journal of Applied Physics
- Publisher
- AIP Publishing
- Published
- 2000-03-15
- Volume
- 87
- Issue
- 6
- Pages
- 3122-3125
- ISSN
- 0021-8979 (ISSN-L)
- 1089-7550
- OpenAlex
- W2069224823
- Cited by
- 221
- References
- 0
- FWCI
- 7.41
- Type
- journal article
- Language
- en
- Open access
- closed
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- Sigalas, M. M., & Garcı́a, N. (2000). Theoretical study of three dimensional elastic band gaps with the finite-difference time-domain method. Journal of Applied Physics. https://doi.org/10.1063/1.372308
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
