Abstract
A nonperturbative theory of light scattering from a bigrating, with resonant excitation of surface polaritons, has been implemented to fit the results of a recent experiment. The experiment measured light absorption in Ag, with results that showed some discrepancies with first-order perturbation theory — particularly at 2-polariton peaks. The exact theory has accounted for some but not all of the discrepancies, indicating that their cause is not entirely due to perturbation theory's underestimating higher-order processes. A comparison of the Fourier coefficients of the surface profile function as determined by the two theories indicates that perturbation theory may develop problems in dealing with the cross-terms in the expansion of 2-dimensional profiles, even for small corrugation strengths.
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