The polarizability of a truncated sphere on a substrate II

Onset of charge localisation on coupling multipolar absorption modes in supported metal particles

“…Clusters are modeled by truncated spheres. The Laplace equation is solved by an expansion into a series of spherical multipolar modes up to the M -th order [5,6,23]. The interaction with the substrate is represented via the introduction of image multipoles with respect to the surface.…”

Plasmonic Amplifiers: Engineering Giant Light Enhancements by Tuning Resonances in Multiscale Plasmonic Nanostructures

“…Nanoparticle arrays on the metal film are usually studied for geometries when distances between the particles are relatively large so that the coupling is accounted only between NPs and their images 46, 49–51. Already in early theoretical works35, 52 and later41, 46 it was emphasized that even for the spectra of individual NPs on metal substrates higher harmonics play an important role. Experiments and numerical calculations show that surface plasmons in the metal substrate introduce an additional interparticle coupling throught their hybridization with dipolar and higher modes 37, 44, 50, 51, 53.…”

Confocal White Light Reflection Imaging for Characterization of Nanostructures

“…Under the quasi-static approximation, this charge distribution can be seen as the image charge distribution (Okamoto & Yamaguchi, 2006;Noguez, 2007) of the nanoparticle and it can in turn affect the local EM field around the nanoparticle, and further their optical responses. Adopting the method proposed elsewhere (Okamoto & Yamaguchi, 2006;Wind et al, 1987), the extinction spectra of the concerned nanospheres were calculated by including both the dipole and higher multiple image-charge effects along with the Fresnel reflection effect at the nanosphere-substrate interface. The corresponding obtained function of the LSP wavelength () versus the spacer thickness (d) was plotted as the dashed line in Figure 10 as well for comparison.…”