Nonlinear Behavior of Superconducting Devices

Oates, D.E.

doi:10.1007/978-94-010-0450-3_5

Cited by 12 publications

(19 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Other scaling laws are found in experimental measurements [11]- [13], and variations of (8) and (9) might apply to these cases [10].…”

Section: A Nonlinear Conductance and Penetration Depth 1) Intrinsic mentioning

confidence: 98%

“…For extrinsic nonlinearities, it is reasonable to assume that, whenever the volume current density at the surface is much smaller than (the usual operating condition for most superconducting devices), there is a quasi-exponential decay of the fields in the superconductor and [2]. We will, therefore, assume that the surface current density satisfies (11) and that this fulfills the boundary conditions at the surface of the superconductor, regardless of whether we deal with intrinsic or extrinsic nonlinearities.…”

Section: ) Surface Current Density and Boundary Conditionsmentioning

confidence: 99%

“…We can then use as the independent variable to describe the dependence of on the current [i.e., write ] and use (11) to rewrite (4) (with ) as (12) Note also that at low currents, in (2), (8), and (9) may be replaced by to introduce as an independent variable in these equations, and define a function that will set the variation of with . In these conditions, using (7) and (12) with instead of , the total electric field at the surface might be split in its linear and nonlinear contributions, i.e., (13) where follows the usual linear equation , and is the additional electric field caused by the nonlinear dependence on the current density (14) where (15) Note that .…”

Section: ) Surface Current Density and Boundary Conditionsmentioning

confidence: 99%

“…This departure can be quantified by assuming that the surface current is sinusoidal , and finding the ratio between its amplitude and that of the fundamental of the electric field. The real and imaginary parts of will then be given by [11] …”

Section: ) Surface Current Density and Boundary Conditionsmentioning

confidence: 99%

“…Despite the possible advantages of using transmission lines to characterize nonlinearities in superconductors (see Section III-A1), resonators are normally used for this purpose since they can hold high currents with moderate power from the signal sources [11]. All the resonators described above can be used to Fig.…”

Section: Superconductor Characterization With Imd Measurements Of mentioning

confidence: 99%

See 4 more Smart Citations

Analysis and Simulation of the Effects of Distributed Nonlinearities in Microwave Superconducting Devices

Collado

Mateu

O'Callaghan

2005

IEEE Trans. Appl. Supercond.

View full text Add to dashboard Cite

Abstract-This paper presents a comprehensive study of microwave nonlinearities in superconductors, with an emphasis on intermodulation distortion and third-harmonic generation. It contains the analysis of various resonant and nonresonant test devices and its validation using numerical simulations based on harmonic balance (HB).The HB simulations made on test devices show that the closedform equations for intermodulation and third-harmonic generation are only valid at low power levels.The paper also contains examples of application of HB to illustrate that this technique is useful to simulate superconductive devices other than simple test devices, and that the validity of the simulations is not restricted to low drive power levels.Most of the analyses and simulations of this paper are based on electrical parameters that describe the nonlinearities in the superconducting material. These parameters are compatible with many existing models of microwave nonlinearities in superconductors. We discuss the particulars on how to relate these electrical parameters with one of the existing models that postulates that the nonlinear effects are due to a dependence of the penetration depth on the current density in the superconductor.

show abstract

“…Other scaling laws are found in experimental measurements [11]- [13], and variations of (8) and (9) might apply to these cases [10].…”

Section: A Nonlinear Conductance and Penetration Depth 1) Intrinsic mentioning

confidence: 98%

Section: ) Surface Current Density and Boundary Conditionsmentioning

confidence: 99%