Effect of a dc magnetic field on the anomalous dispersion of localized Josephson plasma modes in layered superconductors
T. Rokhmanova1,2, S.S. Apostolov1,2, N. Kvitka2, and V.A. Yampol’skii1,2
1A.Ya. Usikov Institute for Radiophysics and Electronics NASU, Kharkiv 61085, Ukraine
2V.N. Karazin Kharkiv National University, Kharkiv 61077, Ukraine
Received December 27, 2017
We study theoretically the propagation of Josephson plasma waves (JPWs) localized on a slab of layered superconductor in the presence of an external dc magnetic field. The slab is sandwiched between two dielectric half-spaces and the wave modes propagate across the layers. We derive analytic expressions for the dispersion relations of the localized JPWs and present the numerical simulation for the effect of the external dc magnetic field on the dispersion. The anomalous dispersion of localized JPWs is predicted for a wide range of frequencies, wave vectors, and dc fields. Also, we discuss the possibility of the internal reflection of the localized modes in the inhomogeneous dc magnetic field. This phenomenon can find application in the terahertz electronics for the control of the localized mode propagation.
PACS: 74.72.–h Cuprate superconductors;
Key words: layered superconductors, localized Josephson plasma waves, dc magnetic field, anomalous dispersion.
Published online: April 25, 2018