The Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified Waveguides

<table>The received wave <svg height="13.45" id="M197" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 43.3125 13.45" width="43.3125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.45)">
<g transform="translate(72,-61.24)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑢</tspan>
<tspan style="font-size: 12.50px; " x="5.9264221" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="10.089921" y="0">𝐿</tspan>
<tspan style="font-size: 12.50px; " x="18.942045" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="30.769882" y="0">̂</tspan>
<tspan style="font-size: 12.50px; " x="24.155796" y="0">𝑧</tspan>
<tspan style="font-size: 12.50px; " x="30.394793" y="0">)</tspan>
</text>
</g>
</g>
</svg> of Case  1.</table>

Mathematical Problems in Engineering

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Figure 2

Figure 2: The Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified Waveguides 