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

• URL: http://arxiv.org/abs/2109.07762v2
• Date: Tue, 22 Feb 2022 13:17:38 GMT
• Title: The scattering coefficients of superconducting microwave resonators: I. Transfer-matrix approach
• Authors: Qi-Ming Chen and Meike Pfeiffer and Matti Partanen and Florian Fesquet and Kedar E. Honasoge and Fabian Kronowetter and Yuki Nojiri and Michael Renger and Kirill G. Fedorov and Achim Marx and Frank Deppe and Rudolf Gross
• Abstract summary: We 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. Our results provide a comprehensive understanding of superconducting microwave resonators from the design concepts to the characterization details.
• Score: 0.7942783295094883
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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