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

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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 -