We review experimental and theoretical studies of resonance effects in electromagnetic spectra of various photonic structures. We briefly represent the history of the research areas related to photonic crystals and metamaterials. Considered initially as two different classes of man-made objects, they are now increasingly frequently analyzed from a common perspective. We focus on the phase transition between the photonic-crystal and metamaterial regimes that is accompanied by the emergence of negative magnetic susceptibility in a purely dielectric 2D structure. The main mechanisms that drive the resonant processes related to extended (i.e., nonlocal) Bragg resonances in photonic crystals and local resonances on individual structural elements of metamaterials are considered. We discuss in detail the electromagnetic properties of weakly absorbing dielectric particles with a high refractive index that exhibit, in addition to electrical resonances, intensive magnetic Mie resonances. The importance of this area is evidenced by the vast number of research that aim at creating the elemental base of photonics.

Keywords: photonic crystals, metamaterials, optical antennas, Mie resonances, resonance effects, photonic phase transitions, Fano resonance, metasurfaces PACS: 42.25.−p, 42.70.Qs, 78.67.Pt (all) DOI: 10.3367/UFNe.2019.03.038543 URL: https://ufn.ru/en/articles/2019/8/e/ 000504891900004 2-s2.0-85076618595 2019PhyU...62..823R Citation: Rybin M V, Limonov M F "Resonance effects in photonic crystals and metamaterials (100th anniversary of the Ioffe Institute)" Phys. Usp. 62 823–838 (2019) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 7th, September 2018, revised: 28th, February 2019, accepted: 4th, March 2019 Оригинал: Рыбин М В, Лимонов М Ф «Резонансные эффекты в фотонных кристаллах и метаматериалах (к 100-летию Физико-технического института им. А.Ф. Иоффе РАН)» УФН 189 881–898 (2019); DOI: 10.3367/UFNr.2019.03.038543