%0 Journal Article %T Revisiting the physics of Fano resonances for nanoparticle oligomers %A Ben Hopkins %A Alexander N. Poddubny %A Andrey E. Miroshnichenko %A Yuri S. Kivshar %J Physics %D 2013 %I arXiv %R 10.1103/PhysRevA.88.053819 %X We present a new and 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 existence of Fano resonances in symmetric oligomers. As a consequence, we unify the understanding of Fano resonances for both plasmonic and all-dielectric oligomers. %U http://arxiv.org/abs/1310.2983v2