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Measurement of resonant frequency and quality factor of microwave resonators: Comparison of methods

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Petersan, Paul J., Anlage, Steven M.·1998·Journal of Applied Physics

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 nonlinear least-squares fit to the phase versus frequency is the most accurate and precise when the signal-to-noise ratio is greater than 65. For noisier data, the nonlinear least-squares fit to a Lorentzian curve is more accurate and precise. The results are general and can be applied to the analysis of many kinds of resonant phenomena.

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Crossref · 10.1063/1.368498

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Metadata

Authors
Petersan, P. J., & Anlage, S. M.
Venue
Journal of Applied Physics
Published
1998-09-15
Volume
84
Issue
6
Pages
3392-3402
ISSN
  • 0021-8979 (ISSN-L)
  • 1089-7550
OpenAlex
W2025953909
Cited by
260
References
1
FWCI
4.38
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Measurement of resonant frequency and quality factor of microwave resonators: Comparison of methods. https://app.cochat.ai/papers/10.1063/1.368498
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Petersan, P. J., & Anlage, S. M. (1998). Measurement of resonant frequency and quality factor of microwave resonators: Comparison of methods. Journal of Applied Physics. https://doi.org/10.1063/1.368498

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