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Plasmonic phenomena in nanostructured surfaces are modeled by considering isotropic pointlike nanoparticles whose responses to an incident surface plasmon polariton (SPP) field are phenomenologically related to their effective polarizabilities. Numerical simulations of different SPP elastic (in-plane) scattering orders and the operation of simple plasmonic devices are presented. Futhermore, nonlinear microscopy with a tightly focused laser beam scanning over a sample surface was modeled by using of analytic representations of the Green dyadic in the near-and far-field regions, with the latter being approximated by the part describing the scattering via excitation of SPPs. In general, the stability with respect to geometrical parameters and dispersion were the main features investigated in the presented plasmonic phenomena.

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