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Published August 1, 1979 | public
Journal Article Open

Josephson point-contact resonance responses

Abstract

The voltage across a dc-current-driven Josephson point contact shunted by a resistive element with an applied small-amplitude ac signal current at frequency omega is calculated. First-order resonances are found to occur whenever +omega or –omega is near the Josephson frequency omega0. Second-order resonances occur whenever omega is near ±omega0/2. Singular perturbation techniques are used to obtain accurate approximate solutions for the contact voltage, in particular solutions when one of the above resonances occurs. These solutions all exhibit frequency (phase) locking when omega is near enough to ±omega0 and ±omega0/2, and frequency pulling otherwise. The regions where frequency locking occurs are obtained.

Additional Information

Copyright © 1979 American Institute of Physics. (Received 31 August 1978; accepted for publication 4 December 1978) Supported in part by the U.S. Army Research Office (Durham) under Contract DAAG29-78-C-0011 and by the National Science Foundation under Grant MCS78-03036. [P.S.H. was] [s]upported by the Fannie and John Hertz Foundation.

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Additional details

Created:
August 22, 2023
Modified:
October 16, 2023