Geometric and material dispersion in Josephson transmission lines

Lee, G.S.; Barfknecht, A.T.

doi:10.1109/77.139221

Cited by 28 publications

(32 citation statements)

References 13 publications

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“…A possible explanation could be the influence of the idle region [110][111][112][113][114][115][116][117][118] which may have a stabilizing effect on the dynamics of FFO and, presumably, affect the values of MFFCs. Influence of the idle region on the dynamics of FFO has been neglected in our theoretical treatment (except for the renormalization of Josephson penetration length on which it has an effect [115,116]).…”

Section: Comparison To Experimental Resultsmentioning

confidence: 99%

Josephson flux-flow oscillator: The microscopic tunneling approach

2017

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Citation: GULEVICH, D.R., KOSHELETS, V.P. and KUSMARTSEV, F.V., 2017.Josephson flux-flow oscillator:The microscopic tunneling approach.Physical Review B, 96 (2), 024515-1 -024515-12.Additional Information:• We elaborate a theoretical description of large Josephson junctions which is based on Werthamer's microscopic tunneling theory. The model naturally incorporates coupling of electromagnetic radiation to the tunnel currents and, therefore, is particularly suitable for description of the self-coupling effect in Josephson junction. In our numerical calculations we treat the arising integro-differential equation, which describes temporal evolution of the superconducting phase difference coupled to the electromagnetic field, by the Odintsov-Semenov-Zorin algorithm. This allows us to avoid evaluation of the time integrals at each time step while taking into account all the memory effects. To validate the obtained microscopic model of large Josephson junction we focus our attention on the Josephson flux-flow oscillator. The proposed microscopic model of flux-flow oscillator does not involve the phenomenological damping parameter, rather the damping is taken into account naturally in the tunnel current amplitudes calculated at a given temperature. The theoretically calculated current-voltage characteristics is compared to our experimental results obtained for a set of fabricated flux-flow oscillators of different lengths.

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Section: Comparison To Experimental Resultsmentioning

confidence: 99%

Josephson flux-flow oscillator: The microscopic tunneling approach

2017

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“…The sharp change in the frequency dependence of σ 1 and connected to that the magnetic field penetration depth λ is clearly seen around Nb gap frequency (for chosen Nb material parameters) at about 650 GHz. In order to simplify the computation one could employ closed-form equations the magnetic penetration depth found in [14], [20].…”

Section: Rf Conductivity Of a Superconductormentioning

confidence: 99%

“…The actual magnetic field penetration depth,  has a noticeable frequency dependence for frequencies even well below the gap frequency and, as the frequency approaches the gap frequency of the superconducting material,  becomes highly frequency dependent [14] - [16]. The microstrip line with the superconducting electrodes becomes material-dispersive and, above the gap frequency has additionally an increased conducting loss in the strip and ground electrodes due to breaking of Cooper pairs [17], [18].…”

Section: Rf Conductivity Of a Superconductormentioning

confidence: 99%

Superconducting Microstrip Line Model Studies at Millimetre and Sub-Millimetre Waves

Belitsky

Risacher

Pantaleev

et al. 2006

Int J Infrared Milli Waves

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This paper presents results of superconducting microstrip transmission line simulation for the frequency range 100-1100 GHz. The simulation is used to calculate the characteristic impedance and the wave propagation constant in a superconducting microstrip line having different geometry. Indeed, modelling provides the only tool for designing superconducting microstrip -based circuits at millimetre and sub-millimetre wavelengths because no direct measurements of such a line can be made at this wavelengths and at cryogenic temperature of 4 K with ultimate accuracy. Niobium, as the most commonly exploited superconducting material, was used for the modelling, though the same approach would work for any different BCS 1 superconductor. In order to evaluate the model accuracy, we have made an extensive comparison study of the superconducting microstrip models known from earlier publications, performed numerical simulations using 3D EM -solver, HFSS, and used a new model introduced in this paper with all simulation result plotted in the paper.

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“…Lee and co-workers [10,11] investigated an infinite linear superconducting strip line where no Josephson current is present. They obtained the dispersion relation indicating that waves can propagate in the x direction and have a transverse structure in y.…”

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confidence: 99%

The window Josephson junction: a coupled linear nonlinear system

Benabdallah

Caputo

Flytzanis

2002

Physica D: Nonlinear Phenomena

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Abstract:We investigate the interface coupling between the 2D sine-Gordon equation and the 2D wave equation in the context of a Josephson window junction using a finite volume numerical method and soliton perturbation theory. The geometry of the domain as well as the electrical coupling parameters are considered.When the linear region is located at each end of the nonlinear domain, we derive an effective 1D model, and using soliton perturbation theory, compute the fixed points that can trap either a kink or antikink at an interface between two sine-Gordon media. This approximate analysis is validated by comparing with the solution of the partial differential equation and describes kink motion in the 1D window junction. Using this, we analyze steady state kink motion and derive values for the average speed in the 1D and 2D systems. Finally we show how geometry and the coupling parameters can destabilize kink motion.

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Geometric and material dispersion in Josephson transmission lines

Cited by 28 publications

References 13 publications

Josephson flux-flow oscillator: The microscopic tunneling approach

Josephson flux-flow oscillator: The microscopic tunneling approach

Superconducting Microstrip Line Model Studies at Millimetre and Sub-Millimetre Waves

The window Josephson junction: a coupled linear nonlinear system

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