journal article·2025-02-01Open access

Nonlinear response of superconducting (YBCO) fractal microstrip resonators: Distributed current ABCD-matrix model

O. A. Kalenyuk, S. I. Futimsky, A. P. Shapovalov

AIP Advances· Volume 15· Issue 2

Abstract

In this work, we experimentally investigated the nonlinear microwave response of YBa2Cu3O7–x Hilbert fractal superconducting microstrip resonators with sharp and rounded corners. We developed a resonator model that incorporates a distributed current-dependent nonlinear propagation parameter, γ(I), and used the ABCD matrix method for numerical simulations. Our findings demonstrated that the nonlinear response of the resonators can be effectively modeled with a current-proportional propagation parameter, γ∼I. In addition, we observed a significant reduction in the nonlinear response when transitioning from sharp to rounded corners in the resonator design. This work provides valuable insights into improving the design of superconducting resonators by minimizing their nonlinearities, which is crucial for advancing applications in microwave and quantum technologies.
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Research context

OpenAlex topics: Quantum and electron transport phenomena · Physics of Superconductivity and Magnetism · Radio Frequency Integrated Circuit Design

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

G. V. Kurdyumov Institute for Metal Physics, N.A.S. of Ukraine 1 , Kyiv 03142,

Kyiv Academic University 2 , Kyiv 03142,

Funding

National Research Foundation of Ukraine

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