Method-of-moments formulation for the analysis of plasmonic nano-optical antennas

Taboada, J. M.; Rivero, J.; Obelleiro, F.; Araújo, M. G.; Landesa, L.

doi:10.1364/josaa.28.001341

Cited by 90 publications

(56 citation statements)

References 46 publications

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“…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.…”

Section: Methods Of Moments For Surface Integral Equationsmentioning

confidence: 99%

“…A more computationally efficient approach comprises the use of surface integral equation (SIE) formulations combined with the variational enforcement of the boundary conditions offered by the method of moments (MoM) [20][21][22]. These methods bring important advantages when compared to the above-mentioned volumetric approaches.…”

Section: Introductionmentioning

confidence: 99%

“…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].…”

Section: Introductionmentioning

confidence: 99%

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

Solís¹,

Taboada²,

Landesa³

et al. 2015

PIER

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Abstract-The plasmonic behavior of nanostructured materials has ignited intense research for the fundamental physics of plasmonic structures and their cutting-edge applications concerning the fields of nanoscience and biosensing. The optical response of plasmonic metals is generally well-described by classical Maxwell's Equations (ME). Thus, the understanding of plasmons and the design of plasmonic nanostructures can therefore directly benefit from lastest advances achieved in classic research areas such as computational electromagnetics. In this context, this paper is devoted to review the most recent advances in nanoplasmonic modeling, related with the latest breakthroughs in surface integral equation (SIE) formulations derived from ME. These works have extended the scope of application of Maxwell's Equations, from microwave/milimeter waves to infrared and optical frequency bands, in the emerging fields of nanoscience and medical biosensing.

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Section: Methods Of Moments For Surface Integral Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Solís¹,

Taboada²,

Landesa³

et al. 2015

PIER

Self Cite

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“…[5][6][7][8] Periodic arrays or gratings made of noblemetal nanosize elements are attracting even greater attention of research community. This is caused by the effects of extraordinarily large reflection, transmission, emission, and near-field enhancement that have been found in the scattering of light by periodic scatterers.…”

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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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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“…Real-life electromagnetics phenomena, such as scattering from airborne targets [1], radiation from antennas [2], transmission through dielectric lenses [3], metamaterials [4], and photonic crystals [5], often involve large objects with respect to wavelength. Accurate discretizations of these objects lead to large matrix equations, even when they are formulated with the surface integral equations.…”

Section: Introductionmentioning

confidence: 99%

Parallel Implementation of Mlfma for Homogeneous Objects With Various Material Properties

Ergül¹

2011

PIER

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Abstract-We present a parallel implementation of the multilevel fast multipole algorithm (MLFMA) for fast and accurate solutions of electromagnetics problems involving homogeneous objects with diverse material properties. Problems are formulated rigorously with the electric and magnetic current combined-field integral equation (JMCFIE) and solved iteratively using MLFMA parallelized with the hierarchical partitioning strategy. Accuracy and efficiency of the resulting implementation are demonstrated on canonical problems involving perfectly conducting, lossless dielectric, lossy dielectric, and double-negative spheres.

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Method-of-moments formulation for the analysis of plasmonic nano-optical antennas

Cited by 90 publications

References 46 publications

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

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

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

Parallel Implementation of Mlfma for Homogeneous Objects With Various Material Properties

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