Programmable Josephson arrays for impedance measurements

Jinni Lee, Jürgen Schurr, Jaani Nissilä, Luis Palafox, Ralf Behr, Bryan P. Kibble

Research output: Contribution to journalArticleScientificpeer-review

17 Citations (Scopus)

Abstract

Arbitrary impedance ratios can be determined with high accuracy by means of a programmable Josephson system. For a 1 : 1 resistance ratio at 10-kΩ level, we demonstrate that the novel system allows measurements over a wide frequency range from 25 Hz to 6 kHz. Uncertainties are in the range of a few parts in 10 8 and thus comparable to those of conventional impedance bridges. Two methods for four-terminal-pair impedance measurements have been investigated, i.e., the potential comparison circuit and the coaxial setup. Both methods are capable of measuring from dc to 6 kHz with uncertainties to a few parts in 10 8 . The potential comparison circuit has an upper bound at 6 kHz due to the use of the sampling method. The four-terminal-pair coaxial setup has the potential to decrease the relative uncertainty down to 10 -9 once systematic errors are analyzed and canceled.
Original languageEnglish
Pages (from-to)2596-2601
Number of pages6
JournalIEEE Transactions on Instrumentation and Measurement
Volume60
Issue number7
DOIs
Publication statusPublished - 2011
MoE publication typeA1 Journal article-refereed

Fingerprint

impedance measurement
impedance
Networks (circuits)
Systematic errors
systematic errors
frequency ranges
sampling
Sampling
Uncertainty

Keywords

  • impedance bridge
  • impedance measurements
  • Josephson array
  • signal synthesis

Cite this

Lee, Jinni ; Schurr, Jürgen ; Nissilä, Jaani ; Palafox, Luis ; Behr, Ralf ; Kibble, Bryan P. / Programmable Josephson arrays for impedance measurements. In: IEEE Transactions on Instrumentation and Measurement. 2011 ; Vol. 60, No. 7. pp. 2596-2601.
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Programmable Josephson arrays for impedance measurements. / Lee, Jinni; Schurr, Jürgen; Nissilä, Jaani; Palafox, Luis; Behr, Ralf; Kibble, Bryan P.

In: IEEE Transactions on Instrumentation and Measurement, Vol. 60, No. 7, 2011, p. 2596-2601.

Research output: Contribution to journalArticleScientificpeer-review

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T1 - Programmable Josephson arrays for impedance measurements

AU - Lee, Jinni

AU - Schurr, Jürgen

AU - Nissilä, Jaani

AU - Palafox, Luis

AU - Behr, Ralf

AU - Kibble, Bryan P.

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AB - Arbitrary impedance ratios can be determined with high accuracy by means of a programmable Josephson system. For a 1 : 1 resistance ratio at 10-kΩ level, we demonstrate that the novel system allows measurements over a wide frequency range from 25 Hz to 6 kHz. Uncertainties are in the range of a few parts in 10 8 and thus comparable to those of conventional impedance bridges. Two methods for four-terminal-pair impedance measurements have been investigated, i.e., the potential comparison circuit and the coaxial setup. Both methods are capable of measuring from dc to 6 kHz with uncertainties to a few parts in 10 8 . The potential comparison circuit has an upper bound at 6 kHz due to the use of the sampling method. The four-terminal-pair coaxial setup has the potential to decrease the relative uncertainty down to 10 -9 once systematic errors are analyzed and canceled.

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