Calculations of light scattering from isolated and interacting metallic nanowires of arbitrary cross section by means of Green's theorem surface integral equations in parametric form

Giannini, Vincenzo; Sánchez‐Gil, José A.

doi:10.1364/josaa.24.002822

Cited by 68 publications

(48 citation statements)

References 37 publications

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“…[28][29][30] This enables reduction of the integration contours in the associated IEs to the corresponding median lines at the expense of introduction of certain "effective" or generalized boundary conditions. Such an approach leads to very economic and rapidly convergent algorithms, whose results agree very well with full boundary [2][3][4] and volume IE results. 1,31,32 It has been used earlier in the analysis of the wave scattering by the infinite gratings of thin material strips [20][21][22] using the method of analytical regularization, and more recently by a dielectric strip using the Nystrom method.…”

Section: Introductionsupporting

confidence: 66%

“…Localized surface-plasmon resonances (we will call them "plasmons" for brevity) on the standalone and coupled noble-metal wires (in the H-polarization case) are an area of active research in nanophotonics since the 2000s, [1][2][3][4] although more recently the emphasis has been shifted to the analysis of three-dimensional plasmonic particles. [5][6][7][8] Periodic arrays or gratings made of noblemetal nanosize elements are attracting even greater attention of research community.…”

Section: Introductionmentioning

confidence: 99%

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Finite gratings of many thin silver nanostrips: Optical resonances and role of periodicity

Shapoval¹,

Nosich²

2013

AIP Advances

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We study numerically the optical properties of the periodic in one dimension flat gratings made of multiple thin silver nanostrips suspended in free space. Unlike other publications, we consider the gratings that are finite however made of many strips that are well thinner than the wavelength. Our analysis is based on the combined use of two techniques earlier verified by us in the scattering by a single thin strip of conventional dielectric: the generalized (effective) boundary conditions (GBCs) imposed on the strip median lines and the Nystrom-type discretization of the associated singular and hyper-singular integral equations (IEs). The first point means that in the case of the metal strip thickness being only a small fraction of the free-space wavelength (typically 5 nm to 50 nm versus 300 nm to 1 μm) we can neglect the internal field and consider only the field limit values. In its turn, this enables reduction of the integration contour in the associated IEs to the strip median lines. This brings significant simplification of the scattering analysis while preserving a reasonably adequate modeling. The second point guarantees fast convergence and controlled accuracy of computations that enables us to compute the gratings consisting of hundreds of thin strips, with total size in hundreds of wavelengths. Thanks to this, in the H-polarization case we demonstrate the build-up of sharp grating resonances (a.k.a. as collective or lattice resonances) in the scattering and absorption cross-sections of sparse multi-strip gratings, in addition to better known localized surface-plasmon resonances on each strip. The grating modes, which are responsible for these resonances, have characteristic near-field patterns that are distinctively different from the plasmons as can be seen if the strip number gets larger. In the E-polarization case, no such resonances are detectable however the build-up of Rayleigh anomalies is observed, accompanied by the reduced scattering and absorption.

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Section: Introductionsupporting

confidence: 66%

Section: Introductionmentioning

confidence: 99%

Finite gratings of many thin silver nanostrips: Optical resonances and role of periodicity

Shapoval¹,

Nosich²

2013

AIP Advances

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“…It is also believed that strong local electromagnetic fields associated with these resonances may play an important role in the surface Raman scattering. Currently, such resonances are found experimentally or numerically by probing dielectric objects of complex shapes with radiation of various frequencies [1]. Here, important result has been obtained in [2].…”

Section: Introductionmentioning

confidence: 96%

Plasmon and grid resonances in the electromagnetic scattering by finite grids of silver nanowires

Natarov

Benson

Altintas

et al. 2010

2010 12th International Conference on Transparent Optical Networks

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The problem of the H-polarized wave scattering by finite chains of circular nanowires is considered. A twodimensional diffraction problem with rigorous boundary conditions is solved by partial separations of variables method using local polar coordinates of each scatterer. The obtained results demonstrate convergence of the algorithm and good agreement with data known for the conducting and dielectric cylinders. Plasmonic and grid resonances are found and calculated for grids from a big number of silver nanowires. This opens a way to the accurate numerical simulation of various finite configurations of wires met in today's nano and microsize photonic devices.

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“…In this connection, noble-metal nanosize strips and their finite ensembles are very attractive as easily manufactured components of various optical devices [1,2]. The typical dimensions of metal nanostrips are: the width from 100 to 1000 nm and the thickness from 5 to 50 nm.…”

Section: Introductionmentioning

confidence: 99%

Grating and plasmon resonances in the scattering of light by finite silver nanostrip gratings

Shapoval¹

2012

Semicond. Phys. Quantum Electron. Optoelectron.

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Abstract. We study numerically the H-polarized wave scattering by finite flat gratings of N silver nanostrips in free space in the context of co-existence of surface plasmon resonances (SPR) and periodicity-induced grating resonances (GRs). The accurate numerical analysis is carried out using the previously developed combination of two-side generalized boundary conditions imposed on the strip median lines and Nystrom-type discretization of the relevant singular and hyper-singular integral equations. Our computations are focused on specific periodicity-caused coupling which leads to the existence of the grating or lattice resonances near to λ G = p/m, m = 1, 2,… (at normal incidence). These resonances result in large reflection, transmission, absorption, and near-field enhancement. We also study the interplay of SPR and GR, if they approach each other and the optical response dependence of the grating parameters, such as overall dimension and number of strips.

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Calculations of light scattering from isolated and interacting metallic nanowires of arbitrary cross section by means of Green's theorem surface integral equations in parametric form

Cited by 68 publications

References 37 publications

Finite gratings of many thin silver nanostrips: Optical resonances and role of periodicity

Finite gratings of many thin silver nanostrips: Optical resonances and role of periodicity

Plasmon and grid resonances in the electromagnetic scattering by finite grids of silver nanowires

Grating and plasmon resonances in the scattering of light by finite silver nanostrip gratings

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