Solution of large-scale plasmonic problems with the multilevel fast multipole algorithm

Abstract

A surface integral equation together with the multilevel fast multipole algorithm is successfully applied to fast and accurate resolution of plasmonic problems involving a large number of unknowns. The absorption, scattering, and extinction efficiencies of several plasmonic gold spheres of increasing size are efficiently obtained solving the electric and magnetic current combined-field integral equation. The numerical predictions are compared with reference analytic results to demonstrate the accuracy, suitability, and capabilities of this approach when dealing with large-scale plasmonic problems.

Plasmon Modes and Hot Spots in Gold Nanostar–Satellite Clusters

“…This software combines an ad hoc implementation of the method of moments (MoM),[36][37][38] with the most recent advances in spectral acceleration techniques, based on the multilevel fast multipole algorithm (MLFMA) and the fast Fourier transform (FFT),[39][40][41] for the simulation of realistic large-scale plasmonic systems.…”

A computational method for modeling arbitrary junctions employing different surface integral equation formulations for three-dimensional scattering and radiation problems

“…The parameters in (A7) which allow to obtain the five considered formulations can be consulted in Table A1. These formulations are known as Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) [16][17][18][19], combined tangential formulation (CTF) [14,19], combined normal formulation (CNF) [14,19], modified normal Müller formulation (MNMF) [20], and electric and magnetic current combined-field integral equation (JMCFIE) [9,[21][22][23][24]. Further formulation collections which incorporate other stable formulations can be consulted in [15,19,25,26].…”

Fast surface integral equation formulations for large-scale conductors, metamaterials, and plasmonic problems

“…Looking for the extension of rigorous Maxwell integral equation solvers to these new demanded areas, our recent efforts were headed to extend the fast SIEMoM formulations to the analysis of composite piecewise homogeneous metamaterial and plasmonic objects [9][10][11][12][13]. Numerical examples will be presented confirming the validity and versatility of this approach for the accurate resolution of problems in the context of leading-edge nanoscience and nanotechnology applications.…”