Cited by 315Microwave and Dielectric Measurement TechniquesElectrical and Electromagnetic ResearchScientific Measurement and Uncertainty Evaluation

Complex permittivity of some ultralow loss dielectric crystals at cryogenic temperatures

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Krupka, Jerzy, Derzakowski, Krzysztof, Tobar, Michael, Hartnett, John, Geyer, Richard G·1999·Measurement Science and Technology

Abstract

Whispering gallery modes were used for very accurate permittivity and dielectric loss measurements of ultralow loss isotropic and uniaxially anisotropic single crystals. Several materials including sapphire, YAG, quartz, and SrLaAlO 4 were measured. The total absolute uncertainty in the real part of permittivity tensor components was estimated to be ±0.1%, limited principally by the uncertainty in sample dimensions. Imaginary parts of permittivities were measured with uncertainties of about 10%, limited by the accuracy of Q -factor measurements of whispering gallery modes. It has been observed that, for most crystals, dielectric losses can be approximated by a power function of absolute temperature only in limited temperature ranges. At temperatures between 4-50 K, losses are often affected by impurities, which are always present in real crystals.

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Crossref · 10.1088/0957-0233/10/5/308

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  • Dielectric losses are very low for materials such as sapphire, with a loss tangent of ∼4×10^-8 at 4 K.

    “These are very low for materials such as sapphire, with a loss tangent of ∼4 × 10 -8 at 4 K [38].”

    From Single Microwave Photon Detection with a Trapped Electron (2016) · cites this paper as [38]

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References 20 · Cited by 315

Authors
Krupka, J., Derzakowski, K., Tobar, M., Hartnett, J., & Geyer, R. G.
Affiliations
  • The University of Western Australia (AU)
  • National Institute of Standards and Technology (US)
Venue
Measurement Science and Technology
Published
1999-01-01
Volume
10
Issue
5
Pages
387-392
ISSN
  • 0957-0233 (ISSN-L)
  • 1361-6501
OpenAlex
W2080382336
Cited by
315
References
20
Citations by year
2026: 9 · 2025: 12 · 2024: 15 · 2023: 15 · 2022: 20 · 2021: 23 · 2020: 13 · 2019: 8 · 2018: 11 · 2017: 13 · 2016: 15 · 2015: 11 · 2014: 12 · 2013: 10 · 2012: 13
FWCI
9.76
Type
journal article
Language
en
Open access
Locations
  • Measurement Science and Technology (publishedVersion)
  • UWA Profiles and Research Repository (UWA) (submittedVersion)
Topics
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Microwave and Dielectric Measurement Techniques
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Electrical and Electromagnetic Research
  • Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Scientific Measurement and Uncertainty Evaluation
Keywords
complex permittivity, dielectric loss, single crystals, whispering gallery modes, cryogenic temperatures, sapphire, yttrium aluminum garnet, quartz, SrLaAlO4, uniaxial anisotropy, temperature dependence of losses, impurities, quality factor

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