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

    22 Citations (Scopus)


    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
    Issue number7
    Publication statusPublished - 2011
    MoE publication typeA1 Journal article-refereed


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


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