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Regular version of the site

Article

Dispersion relations for plasmons in complex-shaped nanoparticle chains

Physical Review B: Condensed Matter and Materials Physics. 2018. Vol. 98. No. 08-5134. P. 1-14.
Pikalov A. M., Dorofeenko A. V., Yurii E. Lozovik.

A method for finding dispersion in chains of plasmonic particles of arbitrary shape is proposed. Our approach is based on analytic continuation via polylogarithms and is basically a generalization of the method known for spherical nanoparticle chains. As an example, we consider an axial chain of split-ring resonators. Three distinct solutions are distinguished, namely, two plasmons and a nonexponential wave. Dispersion relations, decay profiles, and spectra of excitation by a point source are obtained and compared with that in a spherical nanoparticle chain. The nuances of implementing the method are discussed.