2015
DOI: 10.1063/1.4907935
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Efficient and robust analysis of complex scattering data under noise in microwave resonators

Abstract: Superconducting microwave resonators are reliable circuits widely used for detection and as test devices for material research. A reliable determination of their external and internal quality factors is crucial for many modern applications, which either require fast measurements or operate in the single photon regime with small signal to noise ratios. Here, we use the circle fit technique with diameter correction and provide a step by step guide for implementing an algorithm for robust fitting and calibration … Show more

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Cited by 231 publications
(197 citation statements)
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“…the quality factor of the microwave signal into the resonator at either port can be determined by performing a 'circle fit'. This is a fit in the complex plane of the individual reflection measurement from each port [37] and yields an additional factor ζ<1 to the external amplitude ratio for coupling into the cavity resonator. Then, δ 0 is calculated via δ 0 =ζ δ ext .…”
Section: Two-port Cavity Magnon-polariton Spectroscopymentioning
confidence: 99%
“…the quality factor of the microwave signal into the resonator at either port can be determined by performing a 'circle fit'. This is a fit in the complex plane of the individual reflection measurement from each port [37] and yields an additional factor ζ<1 to the external amplitude ratio for coupling into the cavity resonator. Then, δ 0 is calculated via δ 0 =ζ δ ext .…”
Section: Two-port Cavity Magnon-polariton Spectroscopymentioning
confidence: 99%
“…After an additional stage of room temperature (RT) amplification, their transmission spectra are measured with a vector network analyzer (VNA). The resonators Q i , together with the coupling quality factor Q c and the resonance frequency, are extracted using the circle fit routine [23]. The measured and fitted amplitude and phase of one resonator transmission spectrum (sample vertical 1) are shown in figure 2.…”
Section: Methodsmentioning
confidence: 99%
“…The dashed line corresponds to averaged single photon level. Q i are fitted by standard methods [31]. In detail, a continuous ground plane is paved under the airbridge, which is forming a microstrip structure locally (b).…”
Section: Quality Factor Of Airbriged Resonatormentioning
confidence: 99%