Time domain reflectometry of glass beads/magnetite mixtures: A time and frequency domain study

Applied Physics Letters

Volumn 86, Issue 22, 2005, Pages 1-3

  Mattei, Elisabetta ^a   De Santis, Alberto ^a   Di Matteo, Andrea ^b   Pettinelli, Elena ^b   Vannaroni, Giuliano ^c  

^a UNIVERSITY OF TUSCIA   (Italy)

^b ROMA TRE UNIVERSITY   (Italy)

^c CNR   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVE EMISSION; ENERGY DISSIPATION; GROUND PENETRATING RADAR SYSTEMS; MAGNETITE; RADIATION EFFECTS; REFLECTOMETERS; WAVE PROPAGATION;

CEMENT HYDRATION; GLASS BEADS; WAVE TRAVELING; WAVEFORM AMPLITUDES;

GLASS;

EID: 20844458554     PISSN: 00036951     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1935029     Document Type: Article

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16. This relation can be obtained by the following trivial algebra. Given hstd=ustd +dstd and r2std=khstd + s2std=kustd +dstd + s2std for the SF theorem it follows h ? std=dstd and r?2std=kdstd + s2std. Since for t.0 r?2std=?f ?2std, in the frequency domain one has f ? 2s nd=?kdsvds2s nd=?kh? s nds2s nd.
17. A. R. Von Hippel, Dielectrics and Waves (John Wiley, New York, 1954).
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20. E. Pettinelli, G. Vannaroni, E. Mattei, A. Di Matteo, A. R. Pisani, F. Paolucci, A. Cereti, D. Del Vento, A. Galli, A. De Santis, and F. Bella, Tenth International Conference on Ground Penetrating Radar Delft. 21-24 June, 2004, The Netherlands,.
21. A partial knowledge of the frequency dependence is accessible. Indeed from the electrodynamics equations one obtains "9s nd="d9s nd + sdc / s2 pn"0d where the first contribution is due to the frequency dependent dielectric constant and the second one to the zero frequency conductivity sdc. The measurements of "9s nd show a weak 1/ n dependence in the range 100 kHz-1 MHz, suggesting a nearly constant value of "d9s nd and a weak contribution of sdc. Since no absorption is expected between the kilohertz and the gigahertz for the investigated materials, the extrapolation of the data at 1 MHz can be exploited for performing the empirical checks we propose.
22. This value holds for the specific material we consider and must be readjusted for samples of different structure or composition.
23. The α value at 0% is not shown because it was very poorly determined.