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Detuning and Saturation of Superconducting Devices: Formulation and Measurements



Carlos Collado, Jordi Mateu, James Booth, J M. Callaghan


Saturation and detuning of High Temperture Superconducting (HTS) resonators and filters may occur due to the inherent nonlinear properties of the superconductor. In HTS transmission lines, these nonlinear properties introduce a dependence of the inductance and resistance per unit length on the current through the line and, if the line forms a resonator, this current dependence provokes changes in quality factor and/or resonant frequency with source power. This paper derives equations for the dependence of the quality factor and resonant frequency of a nonlinear transmission line vs. source power and relates it to the circuit parameters of a nonlinear transmission line. The equations are verified with measurements in a 3.3 GHz YBaCuO coplanar resonator at 76K and with simulations using Harmonic Balance.
Proceedings Title
2007 IEEE MTT-S International Microwave Symposium
Conference Dates
June 3-8, 2007
Conference Location
Honolulu, HI, USA


Collado, C. , Mateu, J. , Booth, J. and Callaghan, J. (2007), Detuning and Saturation of Superconducting Devices: Formulation and Measurements, 2007 IEEE MTT-S International Microwave Symposium, Honolulu, HI, USA, [online], (Accessed April 22, 2024)
Created June 2, 2007, Updated October 12, 2021