Acoustic Wave Propagation in a Trifurcated Lined Waveguide

<table>Variation of <svg height="14.6" id="M213" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 24.0375 14.6" width="24.0375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">|</tspan>
<tspan style="font-size: 12.50px; " x="2.5006001" y="0">𝑅</tspan>
</text>
<text transform="matrix(1,0,0,-1,-60.2,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
</text>
<text transform="matrix(1,0,0,-1,-55.32,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">|</tspan>
</text>
</g>
</g>
</svg> with <svg height="10.7375" id="M214" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑘</tspan>
</text>
</g>
</g>
</svg> for several values of <svg height="10.7375" id="M215" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 7.4749999 10.7375" width="7.4749999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑏</tspan>
</text>
</g>
</g>
</svg> corresponding to <svg height="13.55" id="M216" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 35.137501 13.55" width="35.137501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
<g transform="translate(72,-61.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜂</tspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">1</tspan>
</text>
</g>
</g>
</svg>, <svg height="13.7375" id="M217" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 54.412498 13.7375" width="54.412498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.7375)">
<g transform="translate(72,-61.01)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜉</tspan>
<tspan style="font-size: 12.50px; " x="9.5022802" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.542669" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="27.794168" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="30.919918" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="37.171417" y="0">0</tspan>
</text>
</g>
</g>
</svg>, and <svg height="10.9125" id="M218" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 46.862499 10.9125" width="46.862499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑎</tspan>
<tspan style="font-size: 12.50px; " x="9.7398367" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.780226" y="0">𝑏</tspan>
<tspan style="font-size: 12.50px; " x="27.656635" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="31.132469" y="0">2</tspan>
</text>
</g>
</g>
</svg>.</table>

International Scholarly Research Notices

Acoustic Wave Propagation in a Trifurcated Lined Waveguide

Figure 5