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We report a numerical investigation of surface plasmon (SP) propagation inordered and disordered linear chains of metal nanospheres. In our simulations,SPs are excited at one end of a chain by a near-field tip. We then findnumerically the SP amplitude as a function of propagation distance. Two typesof SPs are discovered. The first SP, which we call the ordinary or quasistatic,is mediated by short-range, near-field electromagnetic interaction in thechain. This excitation is strongly affected by Ohmic losses in the metal and bydisorder in the chain. These two effects result in spatial decay of thequasistatic SP by means of absorptive and radiative losses, respectively. Thesecond SP is mediated by longer range, far-field interaction of nanospheres. Werefer to this SP as the extraordinary or non-quasistatic. The non-quasistaticSP can not be effectively excited by a near-field probe due to the smallintegral weight of the associated spectral line. Because of that, at smallpropagation distances, this SP is dominated by the quasistatic SP. However, thenon-quasistatic SP is affected by Ohmic and radiative losses to a much smallerextent than the quasistatic one. Because of that, the non-quasistatic SPbecomes dominant sufficiently far from the exciting tip and can propagate withlittle further losses of energy to remarkable distances. The unique physicalproperties of the non-quasistatic SP can be utilized in all-optical integratedphotonic systems

Propagation of surface plasmons in ordered and disordered chains of metal nanospheres