ELECTROMAGNETIC RESONANCES IN LINEAR AND NONLINEAR OPTICS - PHENOMENOLOGICAL STUDY OF GRATING BEHAVIOR THROUGH THE POLES AND ZEROS OF THE SCATTERING OPERATOR

The poles and zeros of the scattering operator of a corrugated wavegui de and of a bare grating are studied mathematically and numerically. A n 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 eff iciency-curve shapes observed in the study of second-harmonic generati on and optical bistability enhanced by a corrugated surface.