Numerical calculation of the inductances of a multi-superconductor transmission line system

Chang, Wen-Hao

doi:10.1109/tmag.1981.1060982

Cited by 59 publications

(30 citation statements)

References 7 publications

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“…4, the temperature dependence of the frequency agrees with the prediction of Mattis-Bardeen theory [14]. There are no free parameters in this fit: our 600 nm Nb films have , hence , and we calculated the kinetic inductance fraction of our transmission line structures to be using the method of [15], given that, from other microwave measurements, we know that our sputtered material has a penetration depth . The coupling , determined by the finger capacitance, was independent of .…”

Section: Niobium Microwave Resonator Measurementssupporting

confidence: 71%

“…One expects a kinetic surface inductance (3) where is the film thickness. From numerical integration of the Mattis-Bardeen integrals, and a measured value of discussed below, one also expects that (4) The above two values are similar to the measured value (5) where is the geometric inductance per square of center conductor calculated using the numerical method [15]. Fig.…”

Section: Aluminum Microwave Resonator Measurementssupporting

confidence: 58%

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Superconducting Films for Absorber-Coupled MKID Detectors for Sub-Millimeter and Far-Infrared Astronomy

Stevenson

Adams

Hsieh

et al. 2009

IEEE Trans. Appl. Supercond.

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Abstract-We describe measurements of the properties, at dc, gigahertz, and terahertz frequencies, of thin (10 nm) aluminum films with 10 square normal state sheet resistance. Such films can be applied to construct microwave kinetic inductance detector arrays for submillimeter and far-infrared astronomical applications in which incident power excites quasiparticles directly in a superconducting resonator that is configured to present a matched-impedance to the high frequency radiation being detected. For films 10 nm thick, we report normal state sheet resistance, resistance-temperature curves for the superconducting transition, quality factor and kinetic inductance fraction for microwave resonators made from patterned films, and terahertz measurements of sheet impedance measured with a Fourier Transform Spectrometer. We compare properties with similar resonators made from niobium 600 nm thick.

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Section: Niobium Microwave Resonator Measurementssupporting

confidence: 71%

Section: Aluminum Microwave Resonator Measurementssupporting

confidence: 58%

Superconducting Films for Absorber-Coupled MKID Detectors for Sub-Millimeter and Far-Infrared Astronomy

Stevenson

Adams

Hsieh

et al. 2009

IEEE Trans. Appl. Supercond.

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“…9 For this resonator we calculate α = 0.055. The coefficient γ should be between −0.5 and −1 depending on the thickness of the superconducting film and the penetration depth.…”

Section: Cpw Resonator Design and Predicted Behaviormentioning

confidence: 99%

Superconducting kinetic inductance photon detectors

et al. 2002

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We are investigating a novel superconducting detector and readout method that could lead to photon counting, energy resolving focal plane arrays. This concept is intrinsically different from STJ and TES detectors, and in principle could deliver large pixel counts, high sensitivity, and Fano-limited spectral resolution in the optical/UV/X-ray bands. The readout uses the monotonic relation between the kinetic surface inductance L s of a superconductor and the density of quasiparticles n, which holds even at temperatures far below T c . This allows a sensitive readout of the number of excess quasiparticles in the detector by monitoring the transmission phase of a resonant circuit. The most intriguing aspect of this concept is that passive frequency multiplexing could be used to read out ∼ 10 4 detectors with a single HEMT amplifier. Single x-ray events have been observed in prototype detectors.

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“…Alternatively, a numerical finite element analysis employing an energyminimization algorithm can be utilized to give a more accurate computation of the inductance that accounts for edge effects [35]. For instance, this type of numerical calculation yields an inductance per unit length for 5 gm wide lines of approximately 82 fH/gm and 132 f/gm in the first and second wiring layers, respectively.…”

Section: -Dsnap Josephson Junction Processmentioning

confidence: 99%

A Josephson-junction-bridge track-and-hold circuit

Tam

Sage²

1995

IEEE Trans. Appl. Supercond.

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A high-speed monolithic Josephson junction track and hold (T/H) circuit was designed, fabricated, and tested. The circuit consists of a novel Josephson junction bridge current switch and a superconducting hold inductor. The bridge, under the control of a commonmode clock current, modulates a balanced, differential input current. A two-junction Superconducting Quantum Interference Device (SQUID) in a flux-lock loop configuration serves as the readout circuit. The T/H was fabricated at MIT Lincoln Laboratory in the Dual-dielectric Selective Niobium Anodization Process (DSNAP) using conservative 5 gm minimum geometry and 1000 A/cm 2 critical current density. It was designed to be tolerant to a wide range of absolute critical current density, sheet resistance, and contact resistance rather than for optimum speed or resolution. The input signal range of the T/H is conservatively specified at +320 gA, and the output current is quantized in 20 gA steps, resulting in 5-bit dynamic range. Calculations and simulations of the T/H predict a 750 MHz analog tracking and sampling bandwidths, 4.6-bit effective dc resolution, an acquisition time of 725 ps, a 700 MS/s peak sampling rate, and an unlimited hold time. Measurements of the fabricated T/H show that it has 900 MHz analog tracking and sampling bandwidths, 4.5-bit effective dc resolution, and an acquisition time of 550 ps, commensurate with a 900 MS/s peak sampling rate.

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Numerical calculation of the inductances of a multi-superconductor transmission line system

Cited by 59 publications

References 7 publications

Superconducting Films for Absorber-Coupled MKID Detectors for Sub-Millimeter and Far-Infrared Astronomy

Superconducting Films for Absorber-Coupled MKID Detectors for Sub-Millimeter and Far-Infrared Astronomy

Superconducting kinetic inductance photon detectors

A Josephson-junction-bridge track-and-hold circuit

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