Coupled-dipole Approach to Scattering of Light from a One-dimensional Periodic Dipole Structure

Markel, Vadim A.

doi:10.1080/09500349314552291

Cited by 200 publications

(163 citation statements)

References 12 publications

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“…Markel [95] analytically solved the DDA equations for scattering by an infinite onedimensional periodic dipole array. This approach is similar to the one used in obtaining the LDR formulation for dipole polarizability [3].…”

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

781

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

781

458

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“…Reports predicting SLRs go back nearly 30 years [5][6][7][8]. Early experiments to see this effect were met with only limited success [9][10][11], but sharp extinction features arising from SLRs associated with square arrays were eventually reported in 2008 [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Plasmonic surface lattice resonances on arrays of different lattice symmetry

2014

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Arrays of metallic particles may exhibit optical collective excitations known as surface lattice resonances (SLRs). These SLRs occur near the diffraction edge of the array and can be sharper than the plasmon resonance associated with the isolated single particle response. We have fabricated and modeled arrays of silver nanoparticles of different geometries. We show that square, hexagonal, and honeycomb arrays show similar SLRs; no one geometry shows a clear advantage over the others in terms of resonance linewidth. We investigate the nature of the coupling between the particles by looking at rectangular arrays. Our results combine experiment and modeling based on a simple coupled-dipole model.

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“…where p is a polarization dependent factor which is 2 for longitudinal and −1 for transverse, and s n is particle-number dependent and rises from 1 for bispheres up to 2ζ(3) ≈2.4 for infinite chains [26]. Equation (14) implies the permittivity shift is approximated by 6 3 n πa S .…”

Section: Radiative Corrections and Weak Coupling Modelsmentioning

confidence: 99%

Universal scaling of local plasmons in chains of metal spheres

et al. 2010

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Abstract:The position, width, extinction, and electric field of localized plasmon modes in closely-coupled linear chains of small spheres are investigated. A dipole-like model is presented that separates the universal geometric factors from the specific metal permittivity. An electrostatic surface integral method is used to deduce universal parameters that are confirmed against results for different metals (bulk experimental Ag, Au, Al, K) calculated using retarded vector spherical harmonics and finite elements. The mode permittivity change decays to an asymptote with the number of particles in the chain, and changes dramatically from 1/f 3 to 1/f 1/2 as the gap fraction (ratio of gap between spheres to their diameter), f, gets smaller. Scattering increases significantly with closer coupling. The mode sharpness, strength and electric field for weakly retarded calculations are consistent with electrostatic predictions once the effect of radiative damping is accounted for.

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Coupled-dipole Approach to Scattering of Light from a One-dimensional Periodic Dipole Structure

Cited by 200 publications

References 12 publications

The discrete dipole approximation: An overview and recent developments

The discrete dipole approximation: An overview and recent developments

Plasmonic surface lattice resonances on arrays of different lattice symmetry

Universal scaling of local plasmons in chains of metal spheres

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