Near-field calculation based on the T-matrix method with discrete sources

Forestiere, Carlo; Iadarola, Giovanni; Negro, Luca Dal; Miano, G.

doi:10.1016/j.jqsrt.2011.05.009

Cited by 19 publications

(13 citation statements)

References 17 publications

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“…7. We use as a reference solution the NFM, which has been proved to be accurate in the modeling of ellipsoidal scatterer with moderate eccentricity [29][30][31]50]. We observe in Fig.…”

Section: B Scattering From Oblate and Prolate Spheroidsmentioning

confidence: 99%

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Surface integral formulations for the design of plasmonic nanostructures

et al. 2012

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Numerical formulations based on surface integral equations (SIEs) provide an accurate and efficient framework for the solution of the electromagnetic scattering problem by three-dimensional plasmonic nanostructures in the frequency domain. In this paper, we present a unified description of SIE formulations with both singular and nonsingular kernel and we study their accuracy in solving the scattering problem by metallic nanoparticles with spherical and nonspherical shape. In fact, the accuracy of the numerical solution, especially in the near zone, is of great importance in the analysis and design of plasmonic nanostructures, whose operation critically depends on the manipulation of electromagnetic hot spots. Four formulation types are considered: the N-combined region integral equations, the T-combined region integral equations, the combined field integral equations and the null field integral equations. A detailed comparison between their numerical solutions obtained for several nanoparticle shapes is performed by examining convergence rate and accuracy in both the far and near zone of the scatterer as a function of the number of degrees of freedom. A rigorous analysis of SIE formulations and their limitations can have a high impact on the engineering of numerous nano-scale optical devices such as plasmon-enhanced light emitters, biosensors, photodetectors, and nanoantennas.

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“…7. We use as a reference solution the NFM, which has been proved to be accurate in the modeling of ellipsoidal scatterer with moderate eccentricity [29][30][31]50]. We observe in Fig.…”

Section: B Scattering From Oblate and Prolate Spheroidsmentioning

confidence: 99%

“…Elongated or flattened particles can be conveniently simulated in the framework of NFM by using a discrete sources basis [28]. Recently, there was a great effort also to study the near-field properties of metallic nanostructures and complex objects by using the NFM [29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Surface integral formulations for the design of plasmonic nanostructures

et al. 2012

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“…The dimensions of the gold nanocylinders have been chosen in such a way that the peak of the scattered pump signal is overlapping the pump wavelength (i.e., 780 nm) in the absence of interactions among cylinders. The T-matrix numerical method has been employed for electromagnetic scattering calculations [28,29], assuming a perfect cylindrical shape.…”

Section: Array Design and Fabricationmentioning

confidence: 99%

Multipolar second harmonic generation from planar arrays of Au nanoparticles

et al. 2012

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We demonstrate optical Second Harmonic Generation (SHG) in planar arrays of cylindrical Au nanoparticles arranged in periodic and deterministic aperiodic geometries. In order to understand the respective roles of near-field plasmonic coupling and long-range photonic interactions on the SHG signal, we systematically vary the interparticle separation from 60 nm to distances comparable to the incident pump wavelength. Using polarization-resolved measurements under femtosecond pumping, we demonstrate multipolar SHG signal largely tunable by the array geometry. Moreover, we show that the SHG signal intensity is maximized by arranging Au nanoparticles in aperiodic spiral arrays. The possibility to engineer multipolar SHG in planar arrays of metallic nanoparticles paves the way to the development of novel optical elements for nanophotonics, such as nonlinear optical sensors, compact frequency converters, optical mixers, and broadband harmonic generators on a chip.

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“…Once the T-matrix is known, we can immediately obtain the response to an arbitrary incident field that can be expressed as a linear combination of VSWFs. In particular, once the expansion coefficients of the scattered field are known, they can be used for a point-wise calculation of the scattered field, in the region where the expansion 1b is valid [11,12], but also to compute far field scattering parameters as the Scattering Cross Section (SCS) [10]. The evaluation of Q 31 and Q 11 matrices, for an arbitrarily shaped scatterer, requires a numerical integration.…”

Section: Single Particle Problemmentioning

confidence: 99%