2015
DOI: 10.1364/josab.32.000485
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Accuracy of surface integral equation matrix elements in plasmonic calculations

Abstract: We study the convergence of the integrals required to be evaluated in the surface integral equation (SIE) formulation (or method of moments) for simulating the optical response of plasmonic nanostructures. We analyze how the numerical quadratures used to compute the integrals affect the accuracy of the SIE matrix elements and, in turn, that of the relevant physical quantities calculated using the method. Based on these studies, we propose an optimized algorithm for evaluation of the integrals, which improves t… Show more

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Cited by 37 publications
(42 citation statements)
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“…Simulation Methods : The SIE method was used to numerically compute the scattering spectrum of the 4‐NRSAs . For silver, a realistic dielectric function was taken (Johnson and Christy) and the surrounding refractive index was set to 1.33 to approximately compensate the substrate‐induced frequency shift for nanoparticle plasmon resonances …”
Section: Methodsmentioning
confidence: 99%
“…Simulation Methods : The SIE method was used to numerically compute the scattering spectrum of the 4‐NRSAs . For silver, a realistic dielectric function was taken (Johnson and Christy) and the surrounding refractive index was set to 1.33 to approximately compensate the substrate‐induced frequency shift for nanoparticle plasmon resonances …”
Section: Methodsmentioning
confidence: 99%
“…We also demonstrate that though the electric field intensity landscape in the lattice is hexagonally symmetric, phase variations result in a flip asymmetry in forces. To obtain a better physical understanding of the general theoretical results, we also compare them with the dipole approximation and numerical calculations using the surface integral equation (SIE) method [51][52][53]. Finally, we show that the force asymmetry further manifests in the optical binding between particles trapped in the lattice.…”
Section: Introductionmentioning
confidence: 94%
“…The local‐field properties on the particle surface are calculated either within the common electrostatic approximation (EA) [ 25 ] or using a novel improved electrostatic approximation (IEA), [ 26 ] which includes radiative damping, depolarization effects, and interactions with higher order multipoles, thus giving excellent agreement with exact T‐matrix solutions [ 27 ] over a much wider range of particle size. The results are also compared with more realistic cigar‐like particle model, calculated from surface integral equation (SIE) [ 28,29 ] simulations.…”
Section: Introductionmentioning
confidence: 99%