Comparison of surface integral equation formulations for electromagnetic analysis of plasmonic nanoscatterers

Abstract

The performance of most widespread surface integral equation (SIE) formulations with the method of moments (MoM) are studied in the context of plasmonic materials. Although not yet widespread in optics, SIE-MoM approaches bring important advantages for the rigorous analysis of penetrable plasmonic bodies. Criteria such as accuracy in near and far field calculations, iterative convergence and reliability are addressed to assess the suitability of these formulations in the field of plasmonics.

SQUEEZING MAXWELL'S EQUATIONS INTO THE NANOSCALE (Invited Paper)

“…Recently, it has successfully been extended to the solution of metamaterial and plamonic problems in near infrared frequencies and in optics [21,22,[24][25][26]. Based on Love's equivalence principle, metallic nanostructures can be replaced by equivalent electric and magnetic currents distributed over the boundary surfaces and interfaces.…”

“…In this paper, we present a deep review of the effort we have made over the last years extending the SIE-MoM [21,[24][25][26] combined with the most recent advances in spectral acceleration techniques, based on the multilevel fast multipole algorithm (MLFMA) [27][28][29] and the fast Fourier transform (FFT) [30][31][32], for the simulation of realistic large-scale plasmonic systems. This methodology was applied for the solution of problems such as the design of nanoantennas [33,34] and optical wireless interconnects [35].…”

Accuracy of surface integral equation matrix elements in plasmonic calculations

“…SIE Implementation for Plasmonics There exist various formulations to solve surface integral equations numerically, with varying numerical accuracy [29,30]. In this paper, we will be following the formulation in [16].…”

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.…”