论文标题

约瑟夫森传输线重新审视

Josephson transmission line revisited

论文作者

Kogan, Eugene

论文摘要

我们考虑由约瑟夫森连接线(JTL)串联的约瑟夫森传输线(JTL),由约瑟夫森连接,电容器和(可能是)电阻器构建。我们计算离散有损JTL中冲击的速度。我们对离散JTL的连续体和准核电近似,无论是无损而有损。在这些近似值的框架中,我们表明无损JTL中的紧凑型行进波是扭结和孤子,并计算其速度。在上述每个提到的近似值的顶部,我们提出了简单的波近似,该近似将JTL方程分解为两个单独的方程,以供右波和左侧波。尤其是近似值,可以轻松地考虑有损耗的JTL中冲击的形成。

We consider the series-connected Josephson transmission line (JTL), constructed from Josephson junctions, capacitors and (possibly) resistors. We calculate the velocity of shocks in the discrete lossy JTL. We study thoroughly the continuum and the quasi-continuum approximations to the discrete JTL, both lossless and lossy. In the framework of these approximations we show that the compact travelling waves in the lossless JTL are the kinks and the solitons, and calculate their velocities. On top of each of the above mentioned approximations, we propose the simple wave approximation, which decouples the JTL equations into two separate equations for the right- and left-going waves. The approximation, in particular, allows to easily consider the formation of shocks in the lossy JTL.

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