Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. I

I. V. Kamotskii   ; S. A. Nazarov

Sbornik. Mathematics, Tome 190 (1999) no. 1, pp. 111-141

Résumé

The solution of the problem of diffraction of an acoustic plane wave by a periodic boundary for frequencies close to threshold values is studied. Wood's well-known experiments show that deviations from the threshold frequency values by a small quantity bring about drastic changes in the diffraction pattern. The asymptotic formula with respect to the small parameter $\varepsilon$ is obtained for the corresponding scattering matrix.

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