Influence of the tank circuit on the low frequency impedance of an rf-biased R-SQUID

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    Abstract

    The dc ‐impedance of an rf‐biased R‐SQUID is studied analytically for the nonhysteretic regime. A mathematical analysis of the intrinsic behavior of an R‐SQUID, including the mutual interaction between the tank circuit and the SQUID loop, is presented. The results obtained give good agreement with some experimentally observed features. Although the main aim of the present paper was to find an analytic solution for the dc ‐impedance of an R‐SQUID, the results given here can also be used to estimate the R‐SQUID parameters and to optimize the performance of a R‐SQUID noise thermometer. The theory presented here also provides a good basis for modelling the noise properties of a Josephson junction noise thermometer.
    Original languageEnglish
    Pages (from-to)1572 - 1577
    Number of pages6
    JournalJournal of Applied Physics
    Volume55
    Issue number6
    DOIs
    Publication statusPublished - 1984
    MoE publication typeNot Eligible

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    thermometers
    impedance
    low frequencies
    applications of mathematics
    Josephson junctions
    estimates
    interactions

    Cite this

    @article{a0cddfbf586a489ca7ca4ac167004155,
    title = "Influence of the tank circuit on the low frequency impedance of an rf-biased R-SQUID",
    abstract = "The dc ‐impedance of an rf‐biased R‐SQUID is studied analytically for the nonhysteretic regime. A mathematical analysis of the intrinsic behavior of an R‐SQUID, including the mutual interaction between the tank circuit and the SQUID loop, is presented. The results obtained give good agreement with some experimentally observed features. Although the main aim of the present paper was to find an analytic solution for the dc ‐impedance of an R‐SQUID, the results given here can also be used to estimate the R‐SQUID parameters and to optimize the performance of a R‐SQUID noise thermometer. The theory presented here also provides a good basis for modelling the noise properties of a Josephson junction noise thermometer.",
    author = "Heikki Sepp{\"a}",
    year = "1984",
    doi = "10.1063/1.333416",
    language = "English",
    volume = "55",
    pages = "1572 -- 1577",
    journal = "Journal of Applied Physics",
    issn = "0021-8979",
    publisher = "American Institute of Physics AIP",
    number = "6",

    }

    Influence of the tank circuit on the low frequency impedance of an rf-biased R-SQUID. / Seppä, Heikki.

    In: Journal of Applied Physics, Vol. 55, No. 6, 1984, p. 1572 - 1577.

    Research output: Contribution to journalArticleScientificpeer-review

    TY - JOUR

    T1 - Influence of the tank circuit on the low frequency impedance of an rf-biased R-SQUID

    AU - Seppä, Heikki

    PY - 1984

    Y1 - 1984

    N2 - The dc ‐impedance of an rf‐biased R‐SQUID is studied analytically for the nonhysteretic regime. A mathematical analysis of the intrinsic behavior of an R‐SQUID, including the mutual interaction between the tank circuit and the SQUID loop, is presented. The results obtained give good agreement with some experimentally observed features. Although the main aim of the present paper was to find an analytic solution for the dc ‐impedance of an R‐SQUID, the results given here can also be used to estimate the R‐SQUID parameters and to optimize the performance of a R‐SQUID noise thermometer. The theory presented here also provides a good basis for modelling the noise properties of a Josephson junction noise thermometer.

    AB - The dc ‐impedance of an rf‐biased R‐SQUID is studied analytically for the nonhysteretic regime. A mathematical analysis of the intrinsic behavior of an R‐SQUID, including the mutual interaction between the tank circuit and the SQUID loop, is presented. The results obtained give good agreement with some experimentally observed features. Although the main aim of the present paper was to find an analytic solution for the dc ‐impedance of an R‐SQUID, the results given here can also be used to estimate the R‐SQUID parameters and to optimize the performance of a R‐SQUID noise thermometer. The theory presented here also provides a good basis for modelling the noise properties of a Josephson junction noise thermometer.

    U2 - 10.1063/1.333416

    DO - 10.1063/1.333416

    M3 - Article

    VL - 55

    SP - 1572

    EP - 1577

    JO - Journal of Applied Physics

    JF - Journal of Applied Physics

    SN - 0021-8979

    IS - 6

    ER -