= Small-height Dirichlet scattering
{title2=$\psi(x,h(x))=0,\quad h=\varepsilon\eta$}
<Small-height Dirichlet scattering> expands the acoustic boundary condition about a mean plane for a fixed regular surface profile. The zeroth-order field includes the flat reflection; higher orders solve outgoing <Helmholtz equation> problems with induced boundary data. Small $|kh|$ controls the incident-field Taylor expansion, but rapidly varying roughness can require additional control of normal derivatives and spectral moments.
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