Ultra-compact tunable split-ring resonators
A. Vidiborskiy, V. P. Koshelets, L. V. Filippenko, S. V. Shitov, A., V. Ustinov

TL;DR
This paper introduces a highly compact, tunable superconducting split-ring resonator design using Josephson junctions and SQUIDs, enabling magnetic field control of resonance frequency in the 11-13 GHz range.
Contribution
It presents a novel design integrating Josephson junctions into SRRs for magnetic tunability, supported by modeling, simulations, and experimental validation.
Findings
Resonance frequency tunable via external magnetic field
Compact design enabled by Josephson inductance
Experimental data confirms simulation predictions
Abstract
We propose tunable superconducting split-ring resonators (SRRs) employing nonlinear Josephson inductance. A fraction of SRR is replaced by Nb-AlOx-Nb Josephson tunnel junctions connected in parallel and forming a superconducting quantum interference device (SQUID), whose inductance is sensitive to the external dc magnetic field. Due to the lumped nature of the Josephson inductance, the SRR can be made very compact and its resonance frequency can be tuned by applying magnetic field. We present the model, results of extensive EM-simulation and experimental data for the SRR weakly coupled to a transmission line within frequency range 11-13 GHz.
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