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<math>\phi^{\mathrm{D}}</math>  satisfies the [[Sommerfeld Radiation Condition]]
<center><math>
\frac{\partial}{\partial x} \left(\phi^{\mathrm{D}}-\phi^{\rm
I} \right) \pm k_0\left( \phi^{\mathrm{D}}-\phi^{\rm I}\right)
= 0
,\,\,\mathrm{as}
\,\,x\rightarrow\infty.
</math></center>
{{incident plane wave 2d definition}}

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