Permittivity of Ice at Radio Frequencies: Part I: Coaxial Transmission Line Cell

Pascal.Bohleber [ at ]


At radio-frequencies, measurements of the permittivity of ice are sparse and with unknown or large uncertainty. Coaxial transmission lines have been established for frequency-dependent permittivity determination for a broad variety of materials. Here we present a coaxial transmission line setup originally designed for soil samples, now adapted for measuring ice samples between 10 MHz and 1.5 GHz. Measured scattering parameters are assessed for artifacts against a forward calculation based on transmission line theory. A Debye-type relaxation function for the complex permittivity is assumed to obtain the permittivity of ice from the measured full set of four scattering parameters by means of a genetic optimization algorithm. The algorithm is successfully validated against quasi-analytical and iterative computation techniques with reference measurements of a low-loss Teflon standard. Based on the forward calculation and the Teflon standard, the total uncertainty for measuring the real part of the permittivity is estimated to be around 1%. Additional measurements of reference materials air, water, ethanol and methanol are used for validation. The real part of the permittivity of eight artificial pure ice samples is found frequency-independent between 10 MHz and 1.5 GHz at − 20 °C, with a mean value of 3.18 ± 0.01.

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Primary Division
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Peer revision
ISI/Scopus peer-reviewed
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Eprint ID
DOI 10.1016/j.coldregions.2012.05.011

Cite as
Bohleber, P. , Wagner, N. and Eisen, O. (2012): Permittivity of Ice at Radio Frequencies: Part I: Coaxial Transmission Line Cell , Cold Regions Science and Technology, 82 , pp. 56-67 . doi: 10.1016/j.coldregions.2012.05.011



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