Comparison of Numerical Methods for the Analysis of Plasmonic Structures

Abstract

Using some simple plasmonic structures, we compare various numerical methods

Computational Electromagnetics in Plasmonics

“…The surface approach has already been used, for example in [24]. The volumetric approach as described in [21], has very recently been introduced in the plasmonics community [25].…”

“…In [45], several numerical methods are tested for 2D plasmonic nanowire structures: not only the Finite Element Method (FEM) and the Finite Difference Time-Domain (FDTD) technique, but also less "commercial" methods like the Multiple Multipole Program (MMP), the Method of Auxiliary Sources (MAS), and the Mesh-less Boundary Integral Equation (BIE) method are tested. By comparing the results, several conclusions can be drawn about their applicability and accuracy for plasmonic topologies.…”

Field Determination Near Plasmonic Structures by the Feynman–Kac Stochastic Representation

“…Computational modeling of wave propagation inside a plasmonic structure could be very time consuming due to the necessity of employing adaptively refined meshes in and around the structures for treating the highly evanescent and singular fields of the plasmon or a polariton [5]. In this paper we demonstrate a technique that bypasses the construction of a mesh and directly generates the field at selected points in the structure without having to determine the fields at all other points.…”

PLRC and Ade Implementations of Drude-Critical Point Dispersive Model for the FDTD Method

“…Several numerical techniques have been proposed to study the interaction/propagation of electromagnetic waves with metals [3], and one of the most popular and widely accepted techniques is the finitedifference time-domain (FDTD) method [4]. FDTD being a time domain technique, offers several advantages particularly for the study of light-metal interaction since the frequency response of the system under study over a wide range of frequencies can be obtained with a single run of simulation.…”