Calculation of light scattering from particles and structures on a surface by the coupled-dipole method

Taubenblatt, Marc A.; Tran, T. K.

doi:10.1364/josaa.10.000912

Cited by 92 publications

(31 citation statements)

References 14 publications

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“…In this case, only the scatterer has to be modeled with dipoles, leading to a huge reduction in computation time and memory requirements [17].…”

Section: B Traditional Cdamentioning

confidence: 99%

“…Defining as the position of the th sample, the corresponding sample value becomes (16) As in the 1-D case (14), the reconstructed function is obtained by filtering the sampled signal with the reconstruction filter , and is used to approximate the original function (17) where is the volume of the cell, equal to for the 2-D case and to for the 3-D case.…”

Section: ) Sampling 2-d and 3-d Field Functionsmentioning

confidence: 99%

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An improved near- to far-zone transformation for the finite-difference time-domain method

Martin

1998

IEEE Trans. Antennas Propagat.

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Abstract-We show that it is possible to increase the performance of the coupled-dipole approximation (CDA) for scattering by using concepts from the sampling theory. In standard CDA, the source in each discretized cell is represented by a point dipole and the corresponding scattered field given by Green's tensor. In the present approach, the source has a certain spatial extension, and the corresponding Green's tensor must be redefined. We derive these so-called filtered Green's tensors for one-dimensional (1-D), two-dimensional (2-D), and three-dimensional (3-D) systems, which forms the basis of our new scheme: the filtered coupled-dipole technique (FCD).By reducing the aliasing phenomena related to the discretization of the scatterer, we obtain with FCD a more accurate description of the original scatterer.The convergence and accuracy of FCD is assessed for 1-D, 2-D, and 3-D systems and compared to CDA results. In particular we show that, for a given discretization grid, the scattering cross section obtained with FCD is more accurate (to a factor of 100). Furthermore, the computational effort required by FCD is similar to that of CDA.

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“…In this case, only the scatterer has to be modeled with dipoles, leading to a huge reduction in computation time and memory requirements [17].…”

Section: B Traditional Cdamentioning

confidence: 99%

Section: ) Sampling 2-d and 3-d Field Functionsmentioning

confidence: 99%

An improved near- to far-zone transformation for the finite-difference time-domain method

Martin

1998

IEEE Trans. Antennas Propagat.

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“…[27][28][29][30] It has also been applied to scatters on a surface, the simplest form of a stratified background. [31][32][33] In the present paper we introduce a technique that can accommodate scatterers in a stratified background formed by an arbitrary number of layers. This method is described in Section 2.…”

Section: Introductionmentioning

confidence: 99%

Light propagation and scattering in stratified media: a Green’s tensor approach

2001

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We present a new technique for computing the electromagnetic field that propagates and is scattered in threedimensional structures formed by bodies embedded in a stratified background. This fully vectorial technique is based on the Green's tensor associated with the stratified background. Its advantage lies in the fact that only the scatterers must be discretized, the stratified background being accounted for in the Green's tensor. Further, the boundary conditions at the different material interfaces as well as at the edges of the computation window are perfectly and automatically fulfilled. Several examples illustrate the utilization of the technique for the modeling of photonic circuits (integrated optical waveguides), the study of the optics of metal (surface plasmons), and the development of new optical lithography techniques.

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“…The incident longitudinal polarization excites the peaks at λ∼1360nm (σ), 510nm (σ * ) while the incident transverse polarization results the extremes at λ∼1080nm (π), 470nm (π * ) for bonding and antibonding plasmon modes in the antisymmetric regime (Ψ 1 -Ψ 2 ), respectively. Utilizing the coupled dipole-dipole model and discrete approximation (DDA) method, 26,27 for the multipolar modes, we calculated the energy diagram for different regimes as shown in Fig. 2(c).…”

Section: Resultsmentioning

confidence: 99%

Resonance coupling in plasmonic nanomatryoshka homo- and heterodimers

2016

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Here, we examine the electromagnetic (EM) energy coupling and hybridization of plasmon resonances between closely spaced concentric nanoshells known as “nanomatryoshka” (NM) units in symmetric and antisymmetric compositions using the Finite Difference Time Domain (FDTD) analysis. Utilizing plasmon hybridization model, we calculated the energy level diagrams and verified that, in the symmetric dimer (in-phase mode in a homodimer), plasmonic bonding modes are dominant and tunable within the considered bandwidth. In contrast, in the antisymmetric dimer (out-of-phase mode in a heterodimer), due to the lack of the geometrical symmetry, new antibonding modes appear in the extinction profile, and this condition gives rise to repeal of dipolar field coupling. We also studied the extinction spectra and positions of the antibonding and bonding modes excited due to the energy coupling between silver and gold NM units in a heterodimer structure. Our analysis suggest abnormal shifts in the higher energy modes. We propose a method to analyze the behavior of multilayer concentric nanoshell particles in an antisymmetric orientation employing full dielectric function calculations and the Drude model based on interband transitions in metallic components. This study provides a method to predict the behavior of the higher energy plasmon resonant modes in entirely antisymmetric structures such as compositional heterodimers.

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Calculation of light scattering from particles and structures on a surface by the coupled-dipole method

Cited by 92 publications

References 14 publications

An improved near- to far-zone transformation for the finite-difference time-domain method

An improved near- to far-zone transformation for the finite-difference time-domain method

Light propagation and scattering in stratified media: a Green’s tensor approach

Resonance coupling in plasmonic nanomatryoshka homo- and heterodimers

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