Coupled-dipole Approach to Scattering of Light from a One-dimensional Periodic Dipole Structure

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Abstract
The coupled-dipole approximation is used to study theoretically the scattering of light from an infinite linear one-dimensional chain of monomers interacting via dipole fields. It is shown that if the distance between monomers is much less then λ, the shift of optical resonances is governed by only interaction in the near-zone, and the spectral width of resonances, on the contrary, by interaction in all zones (near, intermediate and far-zone). The condition under which the developed theory yields correct depolarization coefficients of a dielectric cylinder in a quasi-static case is found. The extinction cross-section is calculated as a function of driving frequency.