Current distribution, resistance, and inductance for superconducting strip transmission lines

Sheen, David M.; Ali, Shozab S; Oates, D.E.; Withers, R.S.; Kong, J. A.

doi:10.1109/77.84617

Cited by 177 publications

(106 citation statements)

References 15 publications

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“…Figure 1͑b͒ is a plot of the calculated j S ͑y , z͒ for the stripline geometry used in our measurements for a 100-m-wide line. 10 The thickness independence of j S ͑y , z͒ is evident. Thus, hereinafter we assume a one-dimensional current density j S = j S ͑y͒.…”

Section: Theoretical Backgroundmentioning

confidence: 93%

“…͑2.7͒ must be numerically evaluated for the configuration at hand. 10 As shown below in Eq. ͑4.2͒, there is also a good, simple analytic approximation to the right-hand side of Eq.…”

Section: ͑25͒mentioning

confidence: 99%

“…On the other hand, in the DS theory NL tracks the spatial dependence of the local current density j S ͑y , z͒. Consequently, since j S ͑y , z͒ is strongly peaked at the edges of the stripline, 10 those edge contributions are dominant for NL . As shown in the next section, this qualitative difference between the DS and AO transcribes into significantly different predictions.…”

Section: ͑12͒mentioning

confidence: 99%

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Nonlinear Meissner effect in a high-temperature superconductor: Local versus nonlocal electrodynamics

et al. 2008

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Measured intermodulation distortion ͑IMD͒ power at 1.5 GHz in a series of YBa 2 Y 3 O 7−␦ stripline resonators of varying strip widths is compared to the predictions of two qualitatively distinct theories of the nonlinear Meissner effect. The stripline resonators are patterned from a single wafer to ensure uniformity of the material properties. According to the first theory ͓T. Dahm and D. J. Scalapino, Phys. Rev. B 60, 13125 ͑1999͔͒, the IMD power is dominated by contributions from the strip edges, while according to the second theory ͓D. Agassi and D. E. Oates, Phys. Rev. B 72, 014538 ͑2005͔͒ it is dominated by contributions from the body of the strip. The parameter-free comparison of the measured data with the theoretical predictions clearly favors the latter theory. We conclude that the nonlinear component of the penetration depth must be treated with nonlocal electrodynamics. The origins of this outcome are discussed briefly in the framework of a Green's-function approach.

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Section: Theoretical Backgroundmentioning

confidence: 93%

“…͑2.7͒ must be numerically evaluated for the configuration at hand. 10 As shown below in Eq. ͑4.2͒, there is also a good, simple analytic approximation to the right-hand side of Eq.…”

Section: ͑25͒mentioning

confidence: 99%

Section: ͑12͒mentioning

confidence: 99%

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Nonlinear Meissner effect in a high-temperature superconductor: Local versus nonlocal electrodynamics

et al. 2008

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“…The input mw power was fixed at −10dBm and the sample was initially cooled in a zero-field state where the earth magnetic field (∼0.3 Gauss) was neglected. We do not give absolute values of R s and X s because Γ is difficult to be determined for the current in the microstrip is highly non-uniform [23,24]. Fortunately, only the functional dependence of ∆Z s and the ratio of ∆R s and ∆X s are of importance to learn the mechanisms of microwave nonlinearity and they can be determined without the geometric factor.…”

Section: Resultsmentioning

confidence: 99%

Anomalous microwave response of high-temperature superconducting thin-film microstrip resonator in weak dc magnetic fields

Rao

Ong

Jin

et al. 1999

Physica C: Superconductivity

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We have studied an anomalous microwave (mw) response of superconducting YBa2Cu3O 7−δ (YBCO) microstrip resonators in the presence of a weak dc magnetic field, H dc . The surface resistance (Rs) and reactance (Xs) show a correlated non-monotonic behaviour as a function of H dc . Rs and Xs were found to initially decrease with elevated H dc and then increase after H dc reaches a crossover field, Hc, which is independent of the amplitude and frequency of the input mw signal within the measurements. The frequency dependence of Rs is almost linear at fixed H dc with different magnitudes (Hc). The impedance plane analysis demonstrates that rH, which is defined as the ratio of the change in Rs(H dc ) and that in Xs(H dc ), is about 0.6 at H dc Hc. The H dc dependence of the surface impedance is qualitatively independent of the orientation of H dc .

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“…E rf can be converted into a total microwave current using ζ≡E rf /I rf ∼10 5 Ω/m. The effective surface resistance so derived is R eff =R s +G×tanδ, where R s is the surface resistance of the superconductor, tanδ the loss tangent of the dielectric, and G~0.8Ω a geometry factor [15,16]. Changes of the effective reactance are similarly composed of changes of the penetration depth and dielectric permittivity [17].…”

mentioning

confidence: 99%

Nonlinear dielectric microwave losses in MgO substrates

Hein

Oates

Hirst

et al. 2002

Applied Physics Letters

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Current distribution, resistance, and inductance for superconducting strip transmission lines

Cited by 177 publications

References 15 publications

Nonlinear Meissner effect in a high-temperature superconductor: Local versus nonlocal electrodynamics

Nonlinear Meissner effect in a high-temperature superconductor: Local versus nonlocal electrodynamics

Anomalous microwave response of high-temperature superconducting thin-film microstrip resonator in weak dc magnetic fields

Nonlinear dielectric microwave losses in MgO substrates

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