Mathematical model of Josephson junction

Authors

  • V. M. Kychak Vinnnytsia National Technical University
  • V. V. Kychak Vinnnytsia National Technical University

Keywords:

перехід Джозефсона, хвильова функція, високотемпературна надпровідність, критичний струм переходу Джозефсона, кругова частота генерації переходу Джозефсона

Abstract

The proposed mathematical model of the Josephson juncture allows defining the dependence of wave functions phase difference on equivalent circuit parameters. It has been shown that the solution of the differential equation, describing physical processes in the Josephson juncture may be described as power-law series, its convergence has been proved. The general equation for defining the series coefficients has been obtained. The equations for defining the wave function phase difference and Josephson juncture voltage have been obtained. The dependence of wave functions phase difference on equivalent circuit parameters and junction current has been examined.

Author Biographies

V. M. Kychak, Vinnnytsia National Technical University

Dr. Sc. (Eng.), Professor, Head of the Chair of Telecommunication Systems and Television

V. V. Kychak, Vinnnytsia National Technical University

Post-Graduate Student of the Chair of Telecommunication Systems and Television

References

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How to Cite

[1]
V. M. Kychak and V. V. Kychak, “Mathematical model of Josephson junction”, Вісник ВПІ, no. 3, pp. 101–106, Jun. 2014.

Issue

No 3 (2014)

Section

Radioelectronics and radioelectronic equipment manufacturing

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