Superposition principle for nonlinear Josephson plasma waves in layered superconductors
T. N. Rokhmanova, S. S. Apostolov, Z. A. Maizelis, V. A. Yampol'skii, Franco Nori
DOI 10.1103/PhysRevB.90.184503 · Physical Review B
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Abstract
We show that a specific superposition principle is valid for nonlinear Josephson plasma waves in layered superconductors, which is very unusual for nonlinear media. We study theoretically the reflection and transmission of terahertz waves through a finite-size superconducting slab placed inside a rectangular waveguide with ideal-metal walls. We assume that the superconducting layers are parallel to the waveguide axis. We show that there exist two specific mutually orthogonal polarizations for waves which, in spite of the nonlinearity, reflect and transmit through the superconductor independently. The wave of the first polarization causes a strong shielding current along the crystallographic ab plane of the superconductor. Therefore, this wave reflects nearly completely from the superconductor and excites only an evanescent mode inside it. The wave of the other polarization does not contain the electric field component parallel to both the sample surface and the crystallographic ab plane and excites much weaker shielding currents. Therefore, it partially reflects from and partially transmits through the sample. Moreover, this wave excites the nonlinear mode in the layered superconductor, and the transmission coefficient of the superconductor depends on the amplitude of the incident wave of this polarization. However, this transmission coefficient is independent of the amplitude of the wave with first polarization. On the basis of the discussed superposition principle, we suggest a method for solving nonlinear problems of waves interacting in layered superconductors. Namely, it is reasonable to represent incident, reflected, and transmitted waves of any polarization as superpositions of the modes with the two specific polarizations considered here and then to solve the problem separately for these modes. We apply this method to the case of nonlinear interaction and mutual transformation of the transverse-electric and transverse-magnetic modes in layered superconductors.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| Bi2Sr2CaCu2O8+δ Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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