Multiple multipole method with automatic multipole setting applied to the simulation of surface plasmons in metallic nanostructures

Abstract

Highly accurate computations of surface plasmons in metallic nanostructures with various geometries are presented. Calculations for cylinders with irregular cross section, coupled structures, and periodic gratings are shown. These systems exhibit a resonant behavior with complex field distribution and strong field enhancement, and therefore their computation requires a very accurate numerical method. It is shown that the multiple multipole (MMP) method, together with an automatic multipole setting (AMS) procedure, is well suited for these computations. An AMS technique for the two-dimensional MMP method is presented. It relies on the global topology of each domain boundary to generate a distribution of numerically independent multipole expansions. This technique greatly facilitates the MMP modeling.

Investigation of metallic nanowire-based localized surface plasmon resonance optical biosensors using extinction spectra

“…To describe the optical response of metallic nanowires, extinction spectra were calculated by rigorous coupled wave analysis (RCWA), 28,29 which has been successfully applied to explaining optical responses of nanostructures. 30,31 Our RCWA routine has been found to corroborate the experimental results of earlier studies using metallic nanostructures in the range of a few tens of nanometers in size, 32 offering an effective scheme to analyze optical properties of nanowires including extinction spectra. Optical extinction is defined as -log (T), where T denotes transmittance as a function of the light wavelength.…”

MAS Pole Location and Effective Spatial Bandwidth of the Scattered Field

“…In [4] an empirical scheme is proposed to determine the location and number of monopole origins for two-dimensional scattering problems. In [5], a rule-based algorithm is used to determine appropriate multipole origins for GMT. Pole location, number and placement issues are also discussed in [6], and [7].…”

Analysis of a Lossy Microring Using the Generalized Multipole Technique

“…It should be mentioned that the locations of the multipoles are almost arbitrary, as long as they satisfy some simple constraints, described in [13]. A typical location for multipoles is shown in Figure 3.…”