The inductance of a superconducting strip transmission line

Chang, Wen-Hao

doi:10.1063/1.325953

Cited by 247 publications

(90 citation statements)

References 8 publications

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“…Use of the singular value decomposition (SVD) is an effective method to solve Eq. (1) in all these cases.…”

Section: Meshesmentioning

confidence: 95%

“…An analytical method to calculate the inductance of superconducting microstrip lines [1] is inadequate for all but the most basic circuit designs, so that a host of numerical methods for superconductive inductance calculation have been developed over the last three decades. The tools range from lookup-table based methods for precomputed layout sections [2] to adapted normal metal inductance calculators with fixed skin depth and kinetic inductance correction factors [3].…”

Section: Introductionmentioning

confidence: 99%

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Inductance and Current Distribution Extraction in Nb Multilayer Circuits with Superconductive and Resistive Components

Fourie

Takeuchi

Yoshikawa

2016

IEICE Trans. Electron.

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SUMMARYWe describe a calculation tool and modeling methods to find self and mutual inductance and current distribution in superconductive multilayer circuit layouts. Accuracy of the numerical solver is discussed and compared with experimental measurements. Effects of modeling parameter selection on calculation results are shown, and we make conclusions on the selection of modeling parameters for fast but sufficiently accurate calculations when calibration methods are used. Circuit theory for the calculation of branch impedances from the output of the numerical solver is discussed, and compensation for solution difficulties is shown through example. We elaborate on the construction of extraction models for superconductive integrated circuits, with and without resistive branches. We also propose a method to calculate current distribution in a multilayer circuit with multiple bias current feed points. Finally, detailed examples are shown where the effects of stacked vias, bias pillars, coupling, ground connection stacks and ground return currents in circuit layouts for the AIST advanced process (ADP2) and standard process (STP2) are analyzed. We show that multilayer inductance and current distribution extraction in such circuits provides much more information than merely branch inductance, and can be used to improve layouts; for example through reduced coupling between conductors.

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“…Use of the singular value decomposition (SVD) is an effective method to solve Eq. (1) in all these cases.…”

Section: Meshesmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Inductance and Current Distribution Extraction in Nb Multilayer Circuits with Superconductive and Resistive Components

Fourie

Takeuchi

Yoshikawa

2016

IEICE Trans. Electron.

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“…3(b). The inductances can be varied by adjusting the length of the stripline with an inductance per unit length L unit given by [17] …”

Section: Squid Designmentioning

confidence: 99%

Adjustable SQUID-resonator direct coupling in microwave SQUID multiplexer for TES microcalorimeter array

Nakashima

Hirayama

Kohjiro

et al. 2017

IEICE Electron. Express

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Abstract:We have succeeded in the first demonstration of a simple and accurate resonator-superconducting quantum interference device (SQUID) coupling for microwave SQUID multiplexers. A simple theory shows our direct coupling with adjustable fractional inductance in the SQUID loop can decrease the deviation of resonance frequencies from designed values in contrast to a conventional inductive coupling. Our direct coupling provides the individual coupling that can be optimized with keeping identical structure, shape, and dimension of the SQUID among all pixels on the same chip. It covers experimentally three or potentially more factors of a frequency band that is larger than that of cryogenic high electron mobility transistor amplifiers. The deviation of experimental fractional inductance from the designed one is less than −3/+10%.

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“…Using this fact ground plates have been commonly used for homogenizing the current in superconductor strips [1][2][3] and weak links [4] and reducing ac losses in them.…”

Section: Introductionmentioning

confidence: 99%

Strong reduction of ac losses in a superconductor strip located between superconducting ground plates

Genenko¹

2004

Physica C: Superconductivity

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The problem of calculating the ac losses in a superconductor strip with a transport current placed inside superconducting environments is studied analytically in the frame of the critical state model. Exact results obtained by the method of images for the commonly employed flat ground plates are used to derive power losses and, consequently, the nonlinear resistance depending on the ac frequency, current amplitude and the distance to the ground plates. The resistance is strongly reduced when the distance between the strip and the shields becomes small.

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The inductance of a superconducting strip transmission line

Abstract: An analytical formula is derived to calculate the inductance of a finite-width superconducting strip transmission line. The formula gives an accurate inductance value when the aspect ratio (the ratio of the linewidth to the insulation thickness) exceeds about unity.

Cited by 247 publications

References 8 publications

Inductance and Current Distribution Extraction in Nb Multilayer Circuits with Superconductive and Resistive Components

Inductance and Current Distribution Extraction in Nb Multilayer Circuits with Superconductive and Resistive Components

Adjustable SQUID-resonator direct coupling in microwave SQUID multiplexer for TES microcalorimeter array

Strong reduction of ac losses in a superconductor strip located between superconducting ground plates

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