Generalization of the coupled dipole method to periodic structures

Chaumet, Patrick C.; Rahmani, Adel; Bryant, Garnett W.

doi:10.1103/physrevb.67.165404

Cited by 66 publications

(51 citation statements)

References 21 publications

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“…Chaumet et al [96] generalized the DDA to periodic structures, and further to defects in a periodic grating on a surface [97]. The idea of using the complex Green's tensor in the standard DDA formulation was summarized by Martin [98].…”

Section: Modifications and Extensions Of The Ddamentioning

confidence: 99%

The discrete dipole approximation: An overview and recent developments

Yurkin

Hoekstra

2007

Journal of Quantitative Spectroscopy and Radiative Transfer

775

458

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We present a review of the discrete dipole approximation (DDA), which is a general method to simulate light scattering by arbitrarily shaped particles. We put the method in historical context and discuss recent developments, taking the viewpoint of a general framework based on the integral equations for the electric field. We review both the theory of the DDA and its numerical aspects, the latter being of critical importance for any practical application of the method. Finally, the position of the DDA among other methods of light scattering simulation is shown and possible future developments are discussed.

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Section: Modifications and Extensions Of The Ddamentioning

confidence: 99%

The discrete dipole approximation: An overview and recent developments

Yurkin

Hoekstra

2007

Journal of Quantitative Spectroscopy and Radiative Transfer

775

458

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“…C ext is written under the assumption of linearly polarized incident light [15]. The method was extended to periodic structures by [34] and [10,16].…”

Section: The Discrete Dipole Approximation Methodsmentioning

confidence: 99%

Nanostructured Biosensors: Influence of Adhesion Layer, Roughness and Size on the LSPR: A Parametric Study

Kessentini¹,

Barchiesi²

2013

State of the Art in Biosensors - General Aspects

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“…A periodized version of Green's tensor formalism [30,31] was exploited to simulate both transverse (TM) and longitudinal (TE) polarization extinction spectra as a function of the wavelength in the VIS-NIR range. Gold nano-cylinders were also considered (200 nm diameter and 50 nm height) spaced by 300 nm (center-to-center, both in x and y directions) and deposited on a semi-infinite glass substrate.…”

Section: Theoretical Simulationsmentioning

confidence: 99%

Angular plasmon response of gold nanoparticles arrays: approaching the Rayleigh limit

et al. 2016

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Abstract:The regular arrangement of metal nanoparticles influences their plasmonic behavior. It has been previously demonstrated that the coupling between diffracted waves and plasmon modes can give rise to extremely narrow plasmon resonances. This is the case when the singleparticle localized surface plasmon resonance (λ LSP ) is very close in value to the Rayleigh anomaly wavelength (λ RA ) of the nanoparticles array. In this paper, we performed angle-resolved extinction measurements on a 2D array of gold nano-cylinders designed to fulfil the condition λ RA < λ LSP . Varying the angle of excitation offers a unique possibility to finely modify the value of λ RA , thus gradually approaching the condition of coupling between diffracted waves and plasmon modes. The experimental observation of a collective dipolar resonance has been interpreted by exploiting a simplified model based on the coupling of evanescent diffracted waves with plasmon modes. Among other plasmon modes, the measurement technique has also evidenced and allowed the study of a vertical plasmon mode, only visible in TM polarization at off-normal excitation incidence. The results of numerical simulations, based on the periodic Green's tensor formalism, match well with the experimental transmission spectra and show fine details that could go unnoticed by considering only experimental data.

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Generalization of the coupled dipole method to periodic structures

Cited by 66 publications

References 21 publications

The discrete dipole approximation: An overview and recent developments

The discrete dipole approximation: An overview and recent developments

Nanostructured Biosensors: Influence of Adhesion Layer, Roughness and Size on the LSPR: A Parametric Study

Angular plasmon response of gold nanoparticles arrays: approaching the Rayleigh limit

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