# Generalization of the Coupled Dipole Method to Periodic Structures

@article{Chaumet2003GeneralizationOT, title={Generalization of the Coupled Dipole Method to Periodic Structures}, author={Patrick C. Chaumet and A. Rahmani and Garnett W. Bryant}, journal={Physical Review B}, year={2003}, volume={67}, pages={165404} }

We present a generalization of the coupled dipole method to the scattering of light by arbitrary periodic structures. This formulation of the coupled dipole method relies on the same direct-space discretization scheme that is widely used to study the scattering of light by finite objects. Therefore, all the knowledge acquired previously for finite systems can be transposed to the study of periodic structures.

## 66 Citations

Coupled dipole method with an exact long-wavelength limit and improved accuracy at finite frequencies.

- Physics, MathematicsOptics letters
- 2002

A new formulation of the coupled dipole method is presented that accounts for local-field effects and is exact in the long-wavelength limit and leads to improved accuracy of the description of light-scattering processes at finite frequencies.

Simulation of light scattering by multilayer cross-gratings with the coupled dipole method

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Numerical simulations of the electromagnetic field scattered by defects in a double-periodic structure

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- 2005

We have developed a rigorous numerical method that permits the simulation of the electromagnetic field scattered by an aperiodic object in presence of a double-periodic structure grating . Our volume…

Discrete dipole approximation for time-domain computation of optical forces on magnetodielectric scatterers.

- PhysicsOptics express
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We present a general approach, based on the discrete dipole approximation (DDA), for the computation of the exchange of momentum between light and a magnetodielectric, three-dimensional object with…

Discrete dipole approximation for the study of radiation dynamics in a magnetodielectric environment.

- PhysicsOptics express
- 2010

A general computational approach based on the discrete dipole approximation for the study of radiation dynamics near or inside an object with arbitrary linear dielectric permittivity, and magnetic permeability tensors, providing an approach capable of handling both the electric and magnetic response of advanced metamaterials.

The discrete dipole approximation : An overview and recent developments

- Computer Science
- 2007

A review of the discrete dipole approximation (DDA), which is a general method to simulate light scattering by arbitrarily shaped particles, is presented, taking the viewpoint of a general framework based on the integral equations for the electric field.

On the importance of local-field corrections for polarizable particles on a finite lattice: Application to the discrete dipole approximation

- Mathematics, Geology
- 2004

We investigate the influence of local-field effects on the electromagnetic response of a collection of dipoles. We derive the local-field corrected static polarizability for a collection of dipoles…

Coupled dipole method for modeling optical properties of large-scale random media.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

We present an extension of the coupled dipole approximation technique to model optical properties of large-scale slabs of homogeneous and inhomogeneous materials. This method is based on a…

Coupled dipole method for radiation dynamics in finite photonic crystal structures.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006

A coupled-dipole treatment of radiation dynamics in the weak-coupling regime in a finite three-dimensional photonic crystal structure and the results are discussed in light of the recent experimental near-field observations of the optical modes of aPhotonic crystal microcavity.

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