Multipolar resonant particle modes as elementary excitations in chain waveguides: Theory, dispersion relations and mathematical modeling

摘要: Abstract In the framework of linear electrodynamics, theory resonant interaction multipolar modes in many body system and associated numerical techniques are proposed present paper. The rests upon certain integral field equations derived on basis Stratton–Chu transforms, Atkinson–Wilcox multipole expansions. For case spherical geometry bodies, half part these is reduced to a set closed form dispersion relations which describe excitation nonradiating particle cluster arbitrary complexity. clusters with developed translation symmetry, we propose method for solving characterized by an effective scaling. perfectly periodic one dimensional systems (chains), this scaling has character. On technique synthesis chain plasmonic waveguides low radiation losses considered. Different checks targeted verification approaches fulfilled.