= Incoming-pole cancellation at a pinned membrane edge
{title2=$2P^-(b)-TA-iT(b+k_I)=0$}
Reconstructing the left scattered displacement in <fluid-loaded membrane edge scattering> divides by $m\omega^2-Tk^2$. The pole at the lower bare-membrane wavenumber $b=\omega\sqrt{m/T}$ must cancel to preserve outgoing half-plane analyticity. This gives a linear condition determining the otherwise unknown endpoint slope $A$. The prescribed incident pole in the total field is a different singularity.
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