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Scattering Theory Derivation of a 3D Acoustic Cloaking Shell
Abstract
Through acoustic scattering theory we derive the mass density and bulk modulus of a spherical shell that can eliminate scattering from an arbitrary object in the interior of the shell--in other words, a 3D acoustic cloaking shell. Calculations confirm that the pressure and velocity fields are smoothly bent and excluded from the central region as for previously reported electromagnetic cloaking shells. The shell requires an anisotropic mass density with principal axes in the spherical coordinate directions and a radially dependent bulk modulus. The existence of this 3D cloaking shell indicates that such reflectionless solutions may also exist for other wave systems that are not isomorphic with electromagnetics.
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Citations
Cited by
Acoustic cloaking and transformation acoustics
Chen, H., & Chan, C. T. (2010) · Journal of Physics D: Applied Physics · doi:10.1088/0022-3727/43/11/113001 · Cited by 406
A Review of Acoustic Metamaterials and Phononic Crystals
Liu, J., Guo, H., & Wang, T. (2020) · Crystals · doi:10.3390/cryst10040305 · Cited by 261
“[88] verified the existence of a 3D acoustic wave stealth solution in fluids and the invariance of acoustic wave coordinate transformation, which established a theoretical basis for the proposed 3D stealth cloak.”
Background
Metadata
- Authors
- Cummer, S. A., Popa, B.-I., Schurig, D., Smith, D. R., Pendry, J., Rahm, M., & Starr, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-01-14
- Volume
- 100
- Issue
- 2
- Pages
- 024301-024301
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2013280568
- Cited by
- 496
- References
- 0
- FWCI
- 26.22
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Scattering Theory Derivation of a 3D Acoustic Cloaking Shell. https://app.cochat.ai/papers/10.1103/physrevlett.100.024301
- The paper
- Cummer, S. A., Popa, B.-I., Schurig, D., Smith, D. R., Pendry, J., Rahm, M., & Starr, A. (2008). Scattering Theory Derivation of a 3D Acoustic Cloaking Shell. Physical Review Letters. https://doi.org/10.1103/physrevlett.100.024301
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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.
