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Anisotropic conductivities that cannot be detected by EIT
Abstract
We construct anisotropic conductivities in dimension 3 that give rise to the same voltage and current measurements at the boundary of a body as a homogeneous isotropic conductivity. These conductivities are non-zero, but degenerate close to a surface inside the body.
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Cited by
Metamaterial Electromagnetic Cloak at Microwave Frequencies
Schurig, D., Mock, J. J., Justice, B. J., Cummer, S. A., Pendry, J. B., Starr, A. F., & Smith, D. R. (2006) · Science · doi:10.1126/science.1133628 · Cited by 7,586
Ultrathin Three-Dimensional Thermal Cloak
Xu, H., Shi, X., Gao, F., Sun, H., & Zhang, B. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.054301 · Cited by 438
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
Metadata
- Authors
- Greenleaf, A., Lassas, M., & Uhlmann, G.
- Venue
- Physiological Measurement
- Publisher
- IOP Publishing
- Published
- 2003-04-30
- Volume
- 24
- Issue
- 2
- Pages
- 413-419
- ISSN
- 0967-3334 (ISSN-L)
- 1361-6579
- OpenAlex
- W2070803685
- Cited by
- 366
- References
- 0
- FWCI
- 2.68
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Anisotropic conductivities that cannot be detected by EIT. https://app.cochat.ai/papers/10.1088/0967-3334/24/2/353
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- Greenleaf, A., Lassas, M., & Uhlmann, G. (2003). Anisotropic conductivities that cannot be detected by EIT. Physiological Measurement. https://doi.org/10.1088/0967-3334/24/2/353
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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.