Abstract
To measure the frequency dependence of complex permittivity of a dielectric rod inserted in the center of a cylindrical cavity, a new method using the multi-mode TM <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0m0</sub> of the cavity is developed on the basis of the rigorous analysis, where the effect of sample insertion holes is taken into account. Three cavities using the TM <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">010</sub> and TM <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">020</sub> modes and two cavities using the TM <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">010</sub> , TM <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">020</sub> , TM <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">030</sub> and TM <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">040</sub> modes are designed and manufactured with different sizes. These five cavities enable frequency dependence measurements of complex permittivity of a fused silica rod sample over eight octave bands from 3 to 26 GHz. The amount of scatter in the measured values of the relative permittivity and loss tangent are within 0.5% and 10%, respectively.
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