Efficient and robust analysis of complex scattering data under noise in microwave resonators

Area of Science:

• Physics
• Electrical Engineering
• Materials Science

Background:

• Superconducting microwave resonators are essential components in various scientific applications, including sensitive detection and material research.
• Accurate determination of external and internal quality factors is critical for optimizing resonator performance, especially in low signal-to-noise environments and high-speed applications.

Purpose of the Study:

• To develop and present a robust, step-by-step guide for an algorithm to analyze complex resonator scattering data.
• To improve the speed and reliability of quality factor determination in superconducting microwave resonators, particularly in noisy conditions.

Main Methods:

• Utilized the circle fit technique, incorporating diameter correction for enhanced accuracy.
• Implemented an algebraic fit technique for the resonance circle, offering a speed advantage over traditional iterative methods.
• Developed a calibration algorithm for complex scattering data analysis in the presence of noise.

Main Results:

• The developed algorithm provides a robust and efficient method for analyzing resonator scattering data.
• The algebraic fit technique significantly speeds up the analysis process compared to iterative approaches.
• The method ensures reliable determination of external and internal quality factors even with noisy data.

Conclusions:

• The presented algorithm offers a practical and efficient solution for the precise characterization of superconducting microwave resonators.
• This work facilitates advancements in applications requiring fast measurements and operation in the single-photon regime.
• The step-by-step guide enables researchers to implement this robust fitting and calibration technique.