The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Elastic wave scattering by periodic structures of spherical objects: Theory and experiment
Open accessAbstract
We extend the multiple-scattering theory for elastic waves by taking into account the full vector character. The formalism for both the band structure calculation and the reflection and transmission calculations for finite slabs is presented. The latter is based on a double-layer scheme which obtains the reflection and transmission matrix elements for the multilayer slab from those of a single layer. As a demonstration of applications of the formalism, we calculate the band structures of elastic waves propagating in a three-dimensional periodic arrangement of spherical particles and voids, as well as the transmission coefficients through finite slabs. In contrast with the plane-wave method, the multiple-scattering approach exhibits advantages in handling specialized geometries (spherical geometry in the present case). We also present a comparison between theory and ultrasound experiment for a hexagonal-close-packed array of steel balls immersed in water. Excellent agreement is obtained.
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Cites
Methods of Theoretical Physics
Morse, P. M., Feshbach, H., & Hill, E. L. (1954) · American Journal of Physics · doi:10.1119/1.1933765 · Cited by 13,197
Measurement of photonic band structure in a two-dimensional periodic dielectric array
Robertson, W. M., Arjavalingam, G., Meade, R. D., Brommer, K. D., Rappe, A. M., & Joannopoulos, J. D. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.2023 · Cited by 377
Cited by
A Review of Acoustic Metamaterials and Phononic Crystals
Liu, J., Guo, H., & Wang, T. (2020) · Crystals · doi:10.3390/cryst10040305 · Cited by 261
“Because the plane wave expansion method cannot solve the problem of solid scatterers in a liquid matrix, scholars have proposed a multiple scattering method based on the Korringa-Kohn-Rostoker (KKR) theory in the calculation of the electronic band structure [31].”
Method
Metadata
- Authors
- Liu, Z., Chan, C. T., Sheng, P., Goertzen, A. L., & Page, J. H.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2000-07-15
- Volume
- 62
- Issue
- 4
- Pages
- 2446-2457
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2055533473
- Cited by
- 376
- References
- 2
- FWCI
- 8.76
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Liu, Z., Chan, C. T., Sheng, P., Goertzen, A. L., & Page, J. H. (2000). Elastic wave scattering by periodic structures of spherical objects: Theory and experiment. Physical Review B. https://doi.org/10.1103/physrevb.62.2446
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