= Free-surface anisotropic reflection amplitudes
{title2=$A=-B^{-1}b_0,\quad B=(b_1,b_2,b_3)$}
Select the three downgoing or depth-decaying elastic modes for a solid below a plane free surface. For each mode use its reduced <traction> column $b=(Tq+R)a$. Zero total boundary <traction> gives $BA=-b_0$ for an incident mode of reduced traction $b_0$. Invertibility gives the displayed amplitudes. A singular matrix instead permits an outgoing homogeneous surface mode, so a radiation-limit or solvability analysis is necessary.
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