We show that for dielectric or metallic gratings with square-wave geometry the photon eigenfunctions in the grating region can be expressed in analytical form. there is an enhancement of the local-(surface-) field intensity by a factor of 100 -500.For molecules on a grating surface, such increase in local fields can imply an amplification of 10 -3 X 10' for the Raman scattering signal.
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