= Line-forced fluid-loaded bending plate
{title2=$D(k)=\gamma(\beta k^4-m\omega^2)-\rho_0\omega^2$}
An <elastic plate> coupled to one compressible fluid half-space has an outgoing <Fourier transform> kernel $D$, where $\gamma^2=k^2-\omega^2/c_0^2$. A harmonic line <force> $F_0$ produces displacement transform $F_0\gamma/D$. Propagating acoustic components have $\gamma=-i\sqrt{\omega^2/c_0^2-k^2}$, whereas guided components decay normally to the plate. The outgoing prescription separates <acoustic energy flux> from guided-wave energy transport.
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