Abstract
Starting from the free-electron model, we show that the solution of a problem of enhanced second-harmonic generation by metals in nonlinear optics reduces to that of a classical boundary-value problem. Surprisingly, this boundary-value problem has a form that is quite equivalent to that encountered in the classical problems of diffraction in linear optics. Thus the rigorous integral theory of metallic diffraction gratings is used with some minor changes. The comparison of the numerical results with experimental data shows a significant mismatch. After two coefficients are fitted into the expression of the nonlinear polarization in order to get the best matching for the reflectivity of plane interfaces, a satisfactory agreement is obtained for the enhancement of the second-harmonic field by metallic gratings through the resonant excitation of delocalized surface plasmons, which reaches the order of 2000.
© 1988 Optical Society of America
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