Analysis of Weighted Multifrequency MUSIC-Type Algorithm for Imaging of Arc-Like, Perfectly Conducting Cracks

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="461251.fig.006a" src="https://static.hindawi.com/articles/mpe/volume-2013/461251/figures/461251.fig.006a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Crack <svg height="15.5125" id="M135" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 19.325001 15.5125" width="19.325001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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l-26 29t-28 35.5l-23 37.5t-20.5 43t-12 45.5t-5.5 51q0 133 88 218.5t219 85.5q132 0 218 -83t86 -218q0 -40 -11.5 -78t-33 -71.5t-39 -56t-44 -51t-32.5 -35.5h84q35 0 48 12t31 63z" id="x3A9"></path></g>
<g transform="matrix(.012,-0,0,-.012,12.925,15.45)"><path d="M456 178h-96v-72q0 -51 12.5 -62.5t72.5 -16.5v-27h-256v27q65 5 78 17t13 62v72h-260v28q182 271 300 426h40v-407h96v-47zM280 225v295h-2q-107 -148 -196 -295h198z" id="x34"></path></g>
</svg></td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="461251.fig.006b" src="https://static.hindawi.com/articles/mpe/volume-2013/461251/figures/461251.fig.006b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Crack <svg height="15.65" id="M136" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 19.325001 15.65" width="19.325001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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l-26 29t-28 35.5l-23 37.5t-20.5 43t-12 45.5t-5.5 51q0 133 88 218.5t219 85.5q132 0 218 -83t86 -218q0 -40 -11.5 -78t-33 -71.5t-39 -56t-44 -51t-32.5 -35.5h84q35 0 48 12t31 63z" id="x3A9"></path></g>
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</svg></td></tr></table></td></tr></table>

<table>Shape of oscillating cracks <svg height="15.5125" id="M133" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 19.325001 15.5125" width="19.325001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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l-26 29t-28 35.5l-23 37.5t-20.5 43t-12 45.5t-5.5 51q0 133 88 218.5t219 85.5q132 0 218 -83t86 -218q0 -40 -11.5 -78t-33 -71.5t-39 -56t-44 -51t-32.5 -35.5h84q35 0 48 12t31 63z" id="x3A9"></path></g>
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</svg> and <svg height="15.65" id="M134" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 19.325001 15.65" width="19.325001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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l-26 29t-28 35.5l-23 37.5t-20.5 43t-12 45.5t-5.5 51q0 133 88 218.5t219 85.5q132 0 218 -83t86 -218q0 -40 -11.5 -78t-33 -71.5t-39 -56t-44 -51t-32.5 -35.5h84q35 0 48 12t31 63z" id="x3A9"></path></g>
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</svg>.</table>

Mathematical Problems in Engineering

fig6

Figure 6

Figure 6: Analysis of Weighted Multifrequency MUSIC-Type Algorithm for Imaging of Arc-Like, Perfectly Conducting Cracks 