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Journal of Radio Electronics Online scientific journal · eISSN 1684-1719
2026, № 1 · NONLINEAR WAVE DYNAMICS IN RADIO ELECTRONICS

Effective Josephson inductance of RF-SQUID as a function of power of microwave irradiation

A.S. Averkin1, L.V. Filippenko2

1 National University of Science and Technology MISIS, Moscow, Russia
2 Kotelnikov IRE RAS, Moscow, Russia
Full text DOI: 10.30898/1684-1719.2026.1.9 UDC 538.945 EDN KRCEPG

Abstract

Radio frequency superconducting quantum interferometers (RF-SQUIDs) are structural elements of nonlinear media used in superconducting metamaterials and superconducting low-noise parametric amplifiers. An expression for the effective Josephson inductance as a function of the external microwave signal power in a two-tone excitation mode is derived. This formula is applied to calculate the effective inductance of a Josephson junction embedded in an RF-SQUID under microwave radiation. The analytically calculated dependences of the resonant frequency and effective Josephson inductance of a non-hysteresis RF-SQUID on microwave power are in good agreement with experimental results.

  • superconductivity
  • rf-SQUID
  • Josephson junction
  • microwaves
Аннотация (на русском)

Эффективная джозефсоновская индуктивность ВЧ-СКВИДа как функция мощности микроволнового облучения

Высокочастотные сверхпроводящие квантовые интерферометры (ВЧ-СКВИДы) являются структурными элементами нелинейных сред, применяемых в сверхпроводящих метаматериалах и сверхпроводящих малошумящих параметрических усилителях. Получено выражение для эффективной джозефсоновской индуктивности в зависимости от мощности внешнего микроволнового сигнала в двухтоновом режиме возбуждения. Эта формула применена для расчета эффективной индуктивности джозефсоновского перехода, встроенного в ВЧ-СКВИД, под воздействием микроволнового излучения. Аналитически рассчитанные зависимости резонансной частоты и эффективной джозефсоновской индуктивности без-гистерезисного СКВИДа в зависимости от мощности микроволнового излучения хорошо согласуются с экспериментальными результатами.

For citation

Averkin A.S., Filippenko L.V. Effective Josephson inductance of RF-SQUID as a function of power of microwave irradiation // Journal of Radio Electronics. – 2026. – No. 1. https://doi.org/10.30898/1684-1719.2026.1.9

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