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Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations
Open accessAbstract
The technique of applying form-invariant, spatial coordinate transformations of Maxwell’s equations can facilitate the design of structures with unique electromagnetic or optical functionality. Here, we illustrate the transformation-optical approach in the designs of a square electromagnetic cloak and an omni-directional electromagnetic field concentrator. The transformation equations are described and the functionality of the devices is numerically confirmed by two-dimensional finite element simulations. The two devices presented demonstrate that the transformation optic approach leads to the specification of complex, anisotropic and inhomogeneous materials with well directed and distinct electromagnetic behavior.
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Cites
Metamaterial Electromagnetic Cloak at Microwave Frequencies
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Self-citation
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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
Polarization splitter and polarization rotator designs based on transformation optics
Kwon, D.-H., & Werner, D. H. (2008) · Optics Express · doi:10.1364/oe.16.018731 · Cited by 167
Dirac Dispersion in Two-Dimensional Photonic Crystals
Chan, C. T., Hang, Z. H., & Huang, X. (2012) · Advances in OptoElectronics · doi:10.1155/2012/313984 · Cited by 86
Metadata
- Authors
- Rahm, M., Schurig, D., Roberts, D. A., Cummer, S. A., Smith, D. R., & Pendry, J. B.
- Venue
- Photonics and Nanostructures - Fundamentals and Applications
- Publisher
- Elsevier BV
- Published
- 2008-04
- Volume
- 6
- Issue
- 1
- Pages
- 87-95
- ISSN
- 1569-4410 (ISSN-L)
- OpenAlex
- W2134137700
- Cited by
- 674
- References
- 1
- FWCI
- 33.70
- Type
- journal article
- Language
- en
- Open access
- green
- Licence
- www.elsevier.com/tdm/userlicense/1.0/ (tdm)
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- Rahm, M., Schurig, D., Roberts, D. A., Cummer, S. A., Smith, D. R., & Pendry, J. B. (2008). Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations. Photonics and Nanostructures - Fundamentals and Applications. https://doi.org/10.1016/j.photonics.2007.07.013
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.