RT Journal Article ID 6e19ee6b6afc85ee A1 Apostolov, S. S. A1 Kadygrob, D. V. A1 Maizelis, Z. А. A1 Rokhmanova, T. N. A1 Shmat'ko, A. A. A1 Yampol'skii, V. A. T1 LOCALIZED WAVES IN LAYERED SUPERCONDUCTORS JF Telecommunications and Radio Engineering JO TRE YR 2019 FD 2019-05-06 VO 78 IS 7 SP 615 OP 631 K1 layered superconductor K1 localized waves K1 anomalous dispersion AB In this review, the propagation of electromagnetic waves localized near the boundary of a layered superconductor sample with the layers either parallel or perpendicular to its surface is discussed. The results obtained in a series of studies on investigating the dispersion relation for such waves are generalized, classified and supplemented. Because of the strong anisotropy and nonlinearity of the Josephson plasma in layered superconductors the localized waves can possess unusual resonance properties, and their excitation can be accompanied by specific resonance phenomena. The electromagnetic field in a layered superconductor is determined by the distribution of the gauge-invariant phase difference of the order parameter that satisfies the set of coupled sine-Gordon equations. Based on the solution of these equations and also on the Maxwell's equations in a dielectric environment, dispersion relations have been derived for the localized electromagnetic waves. The samples of a layered superconductor whose layers are parallel to its boundary can support propagation of both surface waves and waveguide modes characterized by the normal dispersion. The dispersion relation for the samples whose layers are perpendicular to the boundary is dependent on the angle of wave propagation with respect to the superconducting layers. It has first been shown in this paper that the waves localized in a plate of a layered superconductor are characterized by the anomalous dispersion for all directions except propagation strictly along the layers. The dispersion curves for such waves can have point of maximum and/or minimum that can lead to nontrivial effects, for example, to the light stop or internal reflection. Also, excitation of localized waves and unusual resonance effects arising in this case are discussed in the paper. Because of the strong anisotropy and nonlinearity of the layered superconductor the dispersion relations for the waves localized either in semi-infinite samples or in plates possess a number of interesting features giving rise to new phenomena important for application in the terahertz range physics. PB Begell House LK https://www.dl.begellhouse.com/journals/0632a9d54950b268,79879c3a3c6b0423,6e19ee6b6afc85ee.html