1998
DOI: 10.1063/1.368498
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Measurement of resonant frequency and quality factor of microwave resonators: Comparison of methods

Abstract: Precise microwave measurements of sample conductivity, dielectric, and magnetic properties are routinely performed with cavity perturbation measurements. These methods require the accurate determination of quality factor and resonant frequency of microwave resonators. Seven different methods to determine the resonant frequency and quality factor from complex transmission coefficient data are discussed and compared to find which is most accurate and precise when tested using identical data. We find that the non… Show more

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Cited by 233 publications
(178 citation statements)
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“…Here, we extracted both the resonance frequency ω/2π and Q using nonlinear least squares fits to the Lorentzian response of the resonator. In addition, for low-Q (high pressure), we verified the Lorentzian fit results through fits to the real and imaginary components of the complex transmission [14]. For a single device, as the pressure is changed, the fluidic dissipation can be quantified by either the fluidic quality factor Q f given by…”
mentioning
confidence: 89%
“…Here, we extracted both the resonance frequency ω/2π and Q using nonlinear least squares fits to the Lorentzian response of the resonator. In addition, for low-Q (high pressure), we verified the Lorentzian fit results through fits to the real and imaginary components of the complex transmission [14]. For a single device, as the pressure is changed, the fluidic dissipation can be quantified by either the fluidic quality factor Q f given by…”
mentioning
confidence: 89%
“…By means of Rohde-Schwarz ZVK vector network analyzer we measured the complex transmission coefficient, S 21 (ratio of the voltage transmitted to the incident voltage 9 ), as a function of the driving frequency, f. Fig.1 shows the resonance curves S 21 (f) at increasing temperatures (inset) and at T=4.52K (main panel). The model of the resonator as a RLC circuit, needed to extract by means of a fit of the experimental data the relevant parameters (resonant frequency f 0 , loaded quality factor Q L and unloaded quality factor Q 0 ) has been reported elsewhere.…”
Section: Preparation and Microwave Measurementsmentioning
confidence: 99%
“…7,8 At sub-kelvin temperatures the quality factors are generally determined by measuring and fitting the transmission data over the relatively narrow bandwidth defined by the response of a single resonator. 9 In this setting the fidelity of the observed response can be limited by the intervening instrumentation between the device under test and the measurement reference plane.…”
Section: Introductionmentioning
confidence: 99%
“…Many of the methods described that attempt to correct for these effects on S 21 remain sensitive to the details of fitting in the complex plane. 9,17,18 In this work we strive to address these issues by using a transmission line representation to simultaneously analyze multiple coupled resonators and present a calibration methodology to remove non-ideal instrument artifacts.…”
Section: Introductionmentioning
confidence: 99%
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