The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Broadband Invisibility by Non-Euclidean Cloaking
Abstract
Invisibility and negative refraction are both applications of transformation optics where the material of a device performs a coordinate transformation for electromagnetic fields. The device creates the illusion that light propagates through empty flat space, whereas in physical space, light is bent around a hidden interior or seems to run backward in space or time. All of the previous proposals for invisibility require materials with extreme properties. Here we show that transformation optics of a curved, non-Euclidean space (such as the surface of a virtual sphere) relax these requirements and can lead to invisibility in a broad band of the spectrum.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
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
Cited by
Metamaterials: a new frontier of science and technology
Liu, Y., & Zhang, X. (2011) · Chemical Society Reviews · doi:10.1039/c0cs00184h · Cited by 1,086
Silicon nanostructure cloak operating at optical frequencies
Gabrielli, L. H., Cardenas, J., Poitras, C. B., & Lipson, M. (2009) · Nature Photonics · doi:10.1038/nphoton.2009.117 · Cited by 638
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
- Leonhardt, U., & Tyc, T.
- Venue
- Science
- Published
- 2009-01-02
- Volume
- 323
- Issue
- 5910
- Pages
- 110-112
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W1972265157
- Cited by
- 480
- References
- 1
- FWCI
- 21.40
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Broadband Invisibility by Non-Euclidean Cloaking. https://app.cochat.ai/papers/10.1126/science.1166332
- The paper
- Leonhardt, U., & Tyc, T. (2009). Broadband Invisibility by Non-Euclidean Cloaking. Science. https://doi.org/10.1126/science.1166332
Data sources
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.