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Plane wave incident on a semi-infinite grating with spacing s=1.0 at an angle ψ=π/4. (a) The normalized reflected, R, (solid curve) and transmitted, T, (dashed) energy versus β for scattering by an infinite pinned grating. The real part of the displacement field for the semi-infinite grating is shown for (b) β=3.2, (c) β=3.55 and (d) β=3.68. Fields for parts (b–d) are plotted using Wiener–Hopf coefficients. (Online version in colour.)
