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Metamaterial
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=== Hyperbolic === Hyperbolic metamaterials (HMMs) behave as a metal for certain polarization or direction of light propagation and behave as a dielectric for the other due to the negative and positive permittivity tensor components, giving extreme [[anisotropy]]. The material's [[dispersion relation]] in wavevector space forms a [[hyperboloid]] and therefore it is called a hyperbolic metamaterial. The extreme anisotropy of HMMs leads to directional propagation of light within and on the surface.<ref>{{cite journal|author=High, A.|title=Visible-frequency hyperbolic metasurface |journal=Nature|pages=192β196 |year=2015|doi=10.1038/nature14477|pmid=26062510 |display-authors=etal|volume=522|issue=7555 |bibcode=2015Natur.522..192H|s2cid=205243865 }}</ref> HMMs have shown various potential applications, such as sensing, reflection modulator,<ref>Pianelli, A., Kowerdziej, R., Dudek, M., Sielezin, K., Olifierczuk, M., & Parka, J. (2020). Graphene-based hyperbolic metamaterial as a switchable reflection modulator. Optics Express, 28(5), 6708β6718.https://doi.org/10.1364/OE.387065</ref> all-optical ultra-fast switching for integrated photonics,<ref> Pianelli, Alessandro, et al. "Si-CMOS compatible epsilon-near-zero metamaterial for two-color ultrafast all-optical switching." Communications Physics 7.1 (2024): 164.</ref> imaging, super high resolution and single photon source,<ref>Pianelli, Alessandro, et al. "Active control of dielectric singularities in indium-tin-oxides hyperbolic metamaterials." Scientific Reports 12.1 (2022): 16961.</ref> steering of optical signals, enhanced plasmon resonance effects.<ref>{{cite journal|author=Takayama, O.|title=Optics with hyperbolic materials. |journal=Journal of the Optical Society of America B |volume=36 |pages=F38βF48 |date=2019|last2=Lavrinenko, A. V. |issue=8 |doi=10.1364/JOSAB.36.000F38 |s2cid=149698994 |url=https://backend.orbit.dtu.dk/ws/files/175847309/Optics_with_hyperbolic_materials_invited_preprint.pdf }}</ref>
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