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Here, extending our previous work on this topic, we derive a dynamicclosed-form dispersion relation for a rigorous analysis of guided wavepropagation along coupled parallel linear arrays of plasmonic nanoparticles,operating as optical 'two-line' waveguides. Compared to linear arrays ofnanoparticles, our results suggest that these waveguides may support longerpropagation lengths and more confined beams, operating analogously totransmission-line segments at lower frequencies. Our formulation fully takesinto account the whole dynamic interaction among the infinite number ofnanoparticles composing the parallel arrays, considering also realisticpresence of losses and the frequency dispersion of the involved plasmonicmaterials, providing further physical insights into the guidance propertiesthat characterize this geometry.

Coupling and Guided Propagation along Parallel Chains of Plasmonic Nanoparticles