Soliton Propagation Properties in a Josephson Transmission Line

  • J. Nitta
  • A. Matsuda
  • T. Kawakami
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 30)


Recently, the soliton concept in nonlinear dispersive waves is applied in solid state physics[1],[2]. A sine-Gordon soliton in particular is widely used as a model for dislocations in crystals, dc*nain walls in ferranagnetics and excitations in the charge-density-wave(CLW) state. A quantized magnetic flux also exhibits the sine-Gordon soliton properties in a Josephson transmission line(JIL)[3],[4],[5]. However, an actually fabricated JTL obeys the following modified sine-Gordon equation, taking perturbational losses into account:
$$ \frac{{{\partial ^2}\Phi }}{{\partial {x^2}}} - \frac{{{\partial ^2}\Phi }}{{\partial {t^2}}} = \sin \Phi + \alpha \frac{{\partial \Phi }}{{\partial t}} - \beta \frac{{{\partial ^3}\Phi }}{{{\partial ^2}x\partial t}} - \gamma $$
, where α, β and γ are associated with quasiparticle tunneling loss, superconducting rf loss and an artificially provided bias current, respectively.


Soliton Propagation Bias Level Fixed Bias Coupling Resistor Propagation Delay Time 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • J. Nitta
    • 1
  • A. Matsuda
    • 1
  • T. Kawakami
    • 1
  1. 1.Musashino Electrical Communication LaboratoryNippon Telegraph and Telephone Public CorporationMusashino-shi, Tokyo 180Japan

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