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arXiv 1407.0328cond-mat.supr-con
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层状超导体中非线性约瑟夫森等离子体波的叠加原理

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

摘要:

我们证明了层状超导体中\emph{nonlinear}约瑟夫森等离子体波的叠加原理是有效的。本文从理论上研究了太赫兹波在理想金属波导中有限尺寸超导平板的反射和透射。我们假设超导层平行于波导轴。我们发现,存在两个特定的相互正交的极化波,尽管非线性,反射和透射通过超导体\emph{independently}。第一极化波沿超导体的结晶学\textbf{ab}平面产生强屏蔽电流。因此,这一波几乎完全从超导体反射,只在超导体内部激发一个倏逝模,另一个极化波不包含平行于样品表面和晶体学\textbf{ab}平面的电场分量,激发出弱得多的屏蔽电流。因此,它部分反射并部分透射通过样品。此外,这种波在层状超导体中激发出非线性模,超导体的透射系数取决于这种极化波的入射波的振幅.基于所讨论的叠加原理,我们提出了一种求解层状超导体中波相互作用的非线性问题的新方法.也就是说,它是合理的表示入射,反射和透射波的任何偏振的模式与这里考虑的两个特定的偏振的叠加,然后分别解决这些模式的问题。我们将这种方法应用于层状超导体中横电模和横磁模的非线性相互作用和相互转换的情况。

英文摘要:

We show that a specific superposition principle is valid for \emph{nonlinear} Josephson plasma waves in layered superconductors. 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 \emph{independently}. The wave of the first polarization causes a strong shielding current along the crystallographic \textbf{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 \textbf{ab}-plane, and excites much weaker shielding currents. Therefore, it partially reflects 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.On the basis of the discussed superposition principle, we suggest a new method for solving nonlinear problems of waves interaction in layered superconductors. Namely, it is reasonably to represent incident, reflected, and transmitted waves of any polarizations as superpositions of the modes with the two specific polarizations considered here, and then 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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