Modeling near-field properties of plasmonic nanoparticles: a surface integral approach

Kern, Andreas; Martin, Olivier J. F.

doi:10.1117/12.825833

Cited by 11 publications

(4 citation statements)

References 47 publications

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“…The field strength distributions in the x,y-plane and the z-plane of either an azimuthally or radially polarised beam focused by a parabolic mirror are calculated according to literature [24]. The wavelength-dependent extinction spectrum of one nano-triangle is calculated using the ‘surface integral equation’ method [30]. The response of the triangle to the focus field is then multiplied according to the number of nano-triangles within the scanning range, yielding a convolution image from many Fischer patterns.…”

Section: Resultsmentioning

confidence: 99%

Assessing the plasmonics of gold nano-triangles with higher order laser modes

Hennemann¹,

Kolloch²,

Kern³

et al. 2012

Beilstein J. Nanotechnol.

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SummaryRegular arrays of metallic nano-triangles – so called Fischer patterns – are fabricated by nano-sphere lithography. We studied such gold nano-triangle arrays on silicon or glass substrates. A series of different samples was investigated with a parabolic mirror based confocal microscope where the sample is scanned through the laser focus. By employing higher order laser modes (azimuthally and radially polarised laser beams), we can excite the Fischer patterns using either a pure in-plane (x,y) electric field or a strongly z-directional (optical axis of the optical microscope) electric field. We collected and evaluated the emitted luminescence and thereby investigated the respectively excited plasmonic modes. These varied considerably: firstly with the light polarisation in the focus, secondly with the aspect ratio of the triangles and thirdly with the employed substrate. Moreover, we obtained strongly enhanced Raman spectra of an adenine (sub-)monolayer on gold Fischer patterns on glass. We thus showed that gold Fischer patterns are promising surface-enhanced Raman scattering (SERS) substrates.

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Section: Resultsmentioning

confidence: 99%

Assessing the plasmonics of gold nano-triangles with higher order laser modes

Hennemann¹,

Kolloch²,

Kern³

et al. 2012

Beilstein J. Nanotechnol.

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“…This functionality is available as of the MPI-2 standard [18] • Global boundary container -interior/domain boundary all-to-all communication, useful for dense PDE solvers, such as the Boundary Integral method. [14] • Grid diagnostics -collects statistics on entity volumes, qualities and their distribution among processes 2 Theory…”

Section: Capabilities Of Curvilineargridmentioning

confidence: 99%

Dune-CurvilinearGrid: Parallel Dune Grid Manager for Unstructured Tetrahedral Curvilinear Meshes

Fomins¹,

Oswald²

2016

Preprint

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We introduce the dune-curvilineargrid module. The module provides the self-contained, parallel grid manager dune-curvilineargrid, as well as the underlying elementary curvilinear geometry module dune-curvilineargeometry. Both modules are developed as extension of the DUNE [3] project, and conform to the generic dune-grid and dune-geometry interfaces respectively. We expect the reader to be at least briefly familiar with the DUNE interface to fully benefit from this paper. dune-curvilineargrid is a part of the computational framework developed within the doctoral thesis of Aleksejs Fomins. The work is fully funded by and carried out at the technology company LSPR AG. It is motivated by the need for reliable and scalable electromagnetic design of nanooptical devices, achieved by HADES3D family of electromagnetic codes. It is of primary scientific and industrial interest to model full 3D geometric designs as close to the real fabricated structures as possible. Curvilinear geometries improve both the accuracy of modeling smooth material boundaries, and the convergence rate of PDE solutions with increasing basis function order [9], reducing the necessary computational effort. Additionally, higher order methods decrease the memory footprint of PDE solvers at the expense of higher operational intensity, which helps in extracting optimal performance from processing power dominated high performance architectures [30]. dune-curvilineargeometry is capable of modeling simplex entities (edges, triangles and tetrahedra) up to polynomial order 5 via hard-coded Lagrange polynomials, and arbitrary order via analytical procedures. Its most notable features are local-to-global and global-to-local coordinate mappings, symbolic and recursive integration, symbolic polynomial scalars, vectors and matrices (e.g. Jacobians and Integration Elements). dune-curvilineargrid uses the dune-curvilineargeometry module to provide the following functionality: fully parallel input of curvilinear meshes in the gmsh [10] mesh format, processing only the corresponding part of the mesh on each available core; mesh partitioning at the reading stage (using ParMETIS [16,21]); unique global indices for all mesh entities over all processes; Ghost elements associated with the interprocessor boundaries; interprocessor communication of data for shared entities of all codimensions via the standard DUNE data handle interface. There is also significant support for Boundary Integral (BI) codes, allowing for arbitrary number of interior boundary surfaces, as well as all-to-all dense parallel communication procedures. The dune-curvilineargrid grid manager is continuously developed and improved, and so is this documentation. For the most recent version of the documentation, as well as the source code, please refer to the following repositories

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“…This method is particularly useful as it decreases the computation time significantly through surface rather than volume meshing and also allows for calculation of the electromagnetic field arbitrarily close to or far from the structure being studied, as well as within the structure [39][40][41]. With this we obtain the absorption of radiation in the structure via calculated far-field reflection and transmission spectra.…”

Section: Geometry and Methodsmentioning

confidence: 99%

Compound resonance-induced coupling effects in composite plasmonic metamaterials

Farhang¹,

Ramakrishna²,

Martin³

2012

Opt. Express

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Abstract:We study a compound plasmonic system composed of a periodic Au grating array placed close to a thin Au film. The study is not limited to normal incidence and dispersion diagrams are computed for a broad variety of parameters. In addition to identifying localized and propagating modes and the coupling/hybridization interactions between them, we go further and identify modes of compound nature, i.e. those exhibiting both localized and propagating characteristics, and discuss which plasmon modes can exhibit such a behavior in the system at hand and how structural parameters play a central part in the spectral response of such modes.

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Modeling near-field properties of plasmonic nanoparticles: a surface integral approach

Cited by 11 publications

References 47 publications

Assessing the plasmonics of gold nano-triangles with higher order laser modes

Assessing the plasmonics of gold nano-triangles with higher order laser modes

Dune-CurvilinearGrid: Parallel Dune Grid Manager for Unstructured Tetrahedral Curvilinear Meshes

Compound resonance-induced coupling effects in composite plasmonic metamaterials

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