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

<table>Comparison with <svg height="13.45" id="M203" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 40.0625 13.45" width="40.0625" 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">0</tspan>
<tspan style="font-size: 12.50px; " x="16.341421" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="28.169258" y="0">̂</tspan>
<tspan style="font-size: 12.50px; " x="21.555172" y="0">𝑧</tspan>
<tspan style="font-size: 12.50px; " x="27.794168" y="0">)</tspan>
</text>
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</svg> of Case  2 for the solution obtained by IFOMM with no noise and <svg height="11.45" id="M204" style="vertical-align:-0.23825pt" version="1.1" viewbox="0 0 19.612499 11.45" width="19.612499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.45)">
<g transform="translate(72,-62.84)">
<text transform="matrix(1,0,0,-1,-71.95,63.12)">
<tspan style="font-size: 12.50px; " x="0" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">%</tspan>
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</svg> noise.</table>

Mathematical Problems in Engineering

fig7

Figure 7

Figure 7: The Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified Waveguides 