Complex Permittivity Measurements of Textiles and Leather in  a Free Space: An Angular-Invariant Approach

<table class="table-group" id="tab6"><tr><td><table class="table"><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr class="thead"><td align="left">Incidence angle, <svg height="15.5925" id="M46" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 14.92 15.5925" width="14.92" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.5925)">
<text transform="matrix(1,0,0,-1,0.498,3.624)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜃</tspan>
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<text transform="matrix(1,0,0,-1,6.55,0.498)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
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</svg> degrees</td><td align="center">Sample no. 0</td><td align="center">Sample no. 1</td><td align="center">Sample no. 2</td><td align="center">Sample no. 3</td><td align="center">Sample no. 4</td><td align="center">Sample no. 5</td></tr><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr><td align="left">5</td><td align="center">0.118</td><td align="center">0.093</td><td align="center">0.078</td><td align="center">0.066</td><td align="center">0.088</td><td align="center">0.084</td></tr><tr><td align="left">10</td><td align="center">0.109</td><td align="center">0.072</td><td align="center">0.08</td><td align="center">0.062</td><td align="center">0.086</td><td align="center">0.065</td></tr><tr><td align="left">15</td><td align="center">0.115</td><td align="center">0.079</td><td align="center">0.081</td><td align="center">0.063</td><td align="center">0.083</td><td align="center">0.075</td></tr><tr><td align="left">20</td><td align="center">0.118</td><td align="center">0.061</td><td align="center">0.08</td><td align="center">0.066</td><td align="center">0.096</td><td align="center">0.09</td></tr><tr><td align="left">25</td><td align="center">0.12</td><td align="center">0.067</td><td align="center">0.079</td><td align="center">0.065</td><td align="center">0.096</td><td align="center">0.088</td></tr><tr><td align="left">30</td><td align="center">0.125</td><td align="center">0.071</td><td align="center">0.079</td><td align="center">0.069</td><td align="center">0.091</td><td align="center">0.088</td></tr><tr><td align="left">35</td><td align="center">0.131</td><td align="center">0.077</td><td align="center">0.078</td><td align="center">0.069</td><td align="center">0.084</td><td align="center">0.087</td></tr><tr><td align="left">40</td><td align="center">0.14</td><td align="center">0.083</td><td align="center">0.079</td><td align="center">0.067</td><td align="center">0.076</td><td align="center">0.088</td></tr><tr><td align="left">45</td><td align="center">0.148</td><td align="center">0.089</td><td align="center">0.079</td><td align="center">0.0676</td><td align="center">0.0751</td><td align="center">0.088</td></tr><tr><td align="left">50</td><td align="center">0.15</td><td align="center">0.098</td><td align="center">0.083</td><td align="center">0.067</td><td align="center">0.069</td><td align="center">0.095</td></tr><tr><td align="left" colspan="7"><hr/></td></tr><tr><td align="left">Averaged, <svg height="17.584999" id="M47" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 16.889999 17.584999" width="16.889999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,17.585)">
<text transform="matrix(1,0,0,-1,0.498,3.624)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜀</tspan>
</text>
<text transform="matrix(1,0,0,-1,6.55,8.625)">
<tspan style="font-size: 8.75px; " x="0" y="0"></tspan>
<tspan style="font-size: 8.75px; " x="2.9757276" y="0"></tspan>
</text>
<text transform="matrix(1,0,0,-1,6.55,0.498)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑟</tspan>
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</g>
</svg></td><td align="center">0.127</td><td align="center">0.079</td><td align="center">0.08</td><td align="center">0.066</td><td align="center">0.084</td><td align="center">0.085</td></tr><tr><td align="left">Standard deviation</td><td align="center">0.0135</td><td align="center">0.0111</td><td align="center">0.0014</td><td align="center">0.0023</td><td align="center">0.0086</td><td align="center">0.0084</td></tr><tr class="table-tr"><td colspan="7"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Imaginary part of the permittivity for the leather’s samples: <svg height="15.7175" id="M44" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 42.123749 15.7175" width="42.123749" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.7175)">
<text transform="matrix(1,0,0,-1,0.498,3.624)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜃</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
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<text transform="matrix(1,0,0,-1,14.911,3.624)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.028002" y="0">0</tspan>
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</svg> and different incidence angles <svg height="15.5925" id="M45" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 14.92 15.5925" width="14.92" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.5925)">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝜃</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
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</svg>.

International Journal of Microwave Science and Technology

tab6

Table 6

Table 6: Complex Permittivity Measurements of Textiles and Leather in  a Free Space: An Angular-Invariant Approach 