Analytical justification of plasmon hybridization for triangular nanowires

Establish a complete analytical justification for describing the localized surface plasmon resonances of a triangular monomer nanowire using an analogous plasmon-hybridization framework.

Background

The paper applies the plasmon-hybridization concept to interpret the bonding and antibonding resonances of cylindrical and bowtie dimers, where the coupling picture is considered intuitive. It also identifies two resonance branches in the triangular monomer nanowire and provides a qualitative interpretation based on transformation optics and coupled surface-plasmon modes.

However, the authors explicitly distinguish the triangular monomer from the dimers: unlike the dimer case, a complete analytical derivation validating the analogous hybridization description for the triangular geometry has not been obtained. The unresolved problem is therefore to formulate and prove such an analytical description without extending the claim beyond the triangular monomer nanowire studied in the paper.