The basic principles of light steering by means of metasurfaces are reviewed. The metasurfaces are able to control the phase, amplitude, polarization and frequency of the light passed through them. The formulation of generalized Snell's law is presented. The ways to realize the metasurfaces and the methods of phase shift within 2π using resonances are considered. The overview of experiments and recent achievements in the field of the light steering by means of the metasurfaces is also presented. Possible applications of metasurfaces and further development of this paradigm are considered too.

Keywords: metasurfaces, metamaterials, nanoplasmonics, all-dielectric metasurfaces, Huygens' surfaces, metalens, meta-holograms, nonlinearity, Maxwell's equations, beam steering, nanotechnologies, generalized Snell's law PACS: 42.25.Fx, 42.65.−k, 42.70.−a, 42.79.−e, 68.65.−k, 78.67.−n, 78.67.Pt (all) DOI: 10.3367/UFNe.2017.08.038192 URL: https://ufn.ru/en/articles/2018/2/c/ 000435333700003 2-s2.0-85047559137 2018PhyU...61..157R Citation: Remnev M A, Klimov V V "Metasurfaces: a new look at Maxwell's equations and new ways to control light" Phys. Usp. 61 157–190 (2018) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 11th, April 2017, revised: 16th, August 2017, accepted: 16th, August 2017 Оригинал: Ремнев М А, Климов В В «Метаповерхности: новый взгляд на уравнения Максвелла и новые методы управления светом» УФН 188 169–205 (2018); DOI: 10.3367/UFNr.2017.08.038192