S. S. Apostolov, Z. A. Maizelis, D. V. Shimkiv, A. A. Shmat’ko, V. A. Yampol’ski
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| The geometry of the problem: propagating at an angle θ to the z-axis (crystallographic axis c) in a plate of layered superconductor with thickness L, surrounded by a dielectric material, is the localized eigenmode with the wave vector k|| = (ky, kz) along the surface of the plate. |
https://aip.scitation.org/doi/abs/10.1063/1.5116536
A theoretical study of localized waves propagating along a plate with finite thickness, made out of a layered superconductor with layers perpendicular to the surface of the plate. Due to the strong anisotropy of the layered superconductor, the electromagnetic field of the mode is a superposition of the ordinary and extraordinary waves that, in general, cannot be separated from each other. The dispersion law for an arbitrary direction of the propagation of such localized modes with respect to the layers is derived. It is shown that the dispersion curves may increase in both a monotonic and non-monotonic manner, i.e. they contain regions with anomalous dispersion. The frequencies at which the anomalous dispersion may be observed are determined as a function of the propagation angle. The dependence of the frequency on both the modulus of the longitudinal wave vector and its projections is analyzed. The results obtained may be of significant importance to practical applications in terahertz-range electronics.
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