Journal of Radio Electronics. eISSN 1684-1719. 2026. ¹1

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DOI: https://doi.org/10.30898/1684-1719.2026.1.9

 

 

 

EFFECTIVE JOSEPHSON INDUCTANCE

OF RF-SQUID AS A FUNCTION

OF MICROWAVE IRRADIATION

 

A.S. Averkin 1, L.V. Filippenko 2

 

1 National University of Science and Technology MISIS,

119049, Moscow, Leninsky Prosp. 4

 

2 Kotelnikov Institute of Radio Electronics RAS,

125009, Moscow, Mokhovaya St., 11, Bldg. 7

 

The paper was received October 27, 2025.

 

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.

Key words: superconductivity, RF-SQUID, Josephson junction, microwaves.

Financing: This work was supported by the Russian Ministry of Education and Science within the framework of the Priority 2030 program (NUST MISIS Strategic Technology Project «Quantum Internet»).

Corresponding author: Aleksandr Sergeevich Averkin, averkin.as@misis.ru

 

 

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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. – ¹. 1. https://doi.org/10.30898/1684-1719.2026.1.9 (In Russian)