Solutions of a Nonlinear Equation of a Resistively Shunted Model of Josephson Junctions

概要

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Approximate solutions of the nonlinear equation that describes the behavior ofmicrowave-irradiated superconducting weak links are obtained. The method of thesolution is based on the fact that the phase of Josephson oscillation is locked to anexternally applied coherent radiation under a bias current of a microwave-induced step.It can be concluded that the approximate solutions have three internal variables whichare functions of d.c. bias current and microwave ctarrent. The d.c. voltage-currentrelation when d.c. current is biased to a current step is found to follow Ohm's law whenthe step vanishes. This result has been confirmed experimentally. The height of acurrent step as a function of the incident microwave current has been numericallycalculated. The calculated values agree well with those obtttined by an analogcomputer. The internal three variables have been alsc>calculated numerically.
社団法人日本物理学会の論文
1977-10-15