The existing theories which aim to explain the extraordinary optical transmission of a metallic film pierced by a two-dimensional subwavelength hole array ͓T.

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The poles and zeros of the scattering operator of a corrugated waveguide and of a bare grating are studied mathematically and numerically. An initial tutorial section recalls how their use can explain grating anomalies and other curious phenomena in linear optics. This approach is then used in nonlinear optics to understand and predict curious efficiency-curve shapes observed in the study of second-harmonic generation and optical bistability enhanced by a corrugated surface.

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