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Revisiting the physics of Fano resonances for nanoparticle oligomers

2013/10/28 by Ben Hopkins, Alexander N. Poddubny, Andrey E. Miroshnichenko +1 · 144 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Computer science #Condensed matter physics #Dielectric #Dipole #Excitation #Excited state #Fano plane #Fano resonance #Gold and Silver Nanoparticles Synthesis and Applications #Mathematics #Metamaterials and Metasurfaces Applications #Molecular physics #Nanoparticle #Physics #Planar #Plasmon #Plasmonic and Surface Plasmon Research #Pure mathematics #Quantum mechanics #Quasiparticle #physics.atm-clus #physics.optics

paper · pdf · doi:10.1103/physreva.88.053819

published in Physical Review A 88(5) (American Physical Society) · 10 pages, 4 figures

arxiv created 2013/10/28 · openalex publication_date 2013/11/14 · arxiv updated 2013/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a robust approach for interpreting the physics of Fano resonances in planar oligomer structures of both metallic and dielectric nanoparticles. We reveal a key mechanism for Fano resonances by demonstrating that such resonances can be generated purely from the interference of nonorthogonal collective eigenmodes, which are clearly identified based on the coupled-dipole approximation. We prove analytically a general theorem to identify the number of collective eigenmodes that can be excited in ring-type nanoparticle oligomers and further demonstrate that no dark-mode excitation is necessary for the existence of Fano resonances in symmetric oligomers. As a consequence, we unify the understanding of Fano resonances for both plasmonic and all-dielectric oligomers.

Citations