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arXiv · 2109.07762

The scattering coefficients of superconducting microwave resonators: I. Transfer-matrix approach

Qi-Ming Chen·Meike Pfeiffer·Matti Partanen·Florian Fesquet·Kedar E. Honasoge·Fabian Kronowetter·Yuki Nojiri·Michael Renger·Kirill G. Fedorov·Achim Marx·Frank Deppe·Rudolf Gross
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Abstract

We describe a unified classical approach for analyzing the scattering coefficients of superconducting microwave resonators with a variety of geometries. To fill the gap between experiment and theory, we also consider the influences of small circuit asymmetry and the finite length of the feedlines, and describe a procedure to correct them in typical measurement results. We show that, similar to the transmission coefficient of a hanger-type resonator, the reflection coefficient of a necklace- or bridge-type resonator does also contain a reference point which can be used to characterize the electrical properties of a microwave resonator in a single step. Our results provide a comprehensive understanding of superconducting microwave resonators from the design concepts to the characterization details.

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Qi-Ming Chen, Meike Pfeiffer, Matti Partanen, Florian Fesquet, Kedar E. Honasoge, Fabian Kronowetter, Yuki Nojiri, Michael Renger, Kirill G. Fedorov, Achim Marx, Frank Deppe, Rudolf Gross. 2021-09-16. The scattering coefficients of superconducting microwave resonators: I. Transfer-matrix approach. https://doi.org/10.1103/physrevb.106.214505

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