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. 

Figures and Tables from this paper

Coupled dipole method with an exact long-wavelength limit and improved accuracy at finite frequencies.
TLDR
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.
Numerical simulations of the electromagnetic field scattered by defects in a double-periodic structure
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.
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.
TLDR
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
TLDR
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
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.
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.
TLDR
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.
...
...

References

SHOWING 1-10 OF 23 REFERENCES
STRONG AND WEAK FORMS OF THE METHOD OF MOMENTS AND THE COUPLED DIPOLE METHOD FOR SCATTERING OF TIME-HARMONIC ELECTROMAGNETIC FIELDS
Algorithms based on the method of moments (MOM) and the coupled dipole method (CDM) are commonly used to solve electromagnetic scattering problems. In this paper, the strong and the weak forms of
Coupled dipole method determination of the electromagnetic force on a particle over a flat dielectric substrate
We present a theory to compute the force due to light upon a particle on a dielectric plane by the Coupled Dipole Method (CDM). We show that, with this procedure, two equivalent ways of analysis are
Discrete-Dipole Approximation For Scattering Calculations
The discrete-dipole approximation (DDA) for scattering calculations, including the relationship between the DDA and other methods, is reviewed. Computational considerations, i.e., the use of
Discrete-dipole approximation for scattering by features on surfaces by means of a two-dimensional fast Fourier transform technique
TLDR
The capabilities and flexibility of a discrete-dipole code implementing the two-dimensional fast Fourier transform technique are demonstrated with scattering results from circuit features on surfaces.
Efficient calculation of the free-space periodic Green's function
Electromagnetic scattering from periodic structures can be formulated in terms of an integral equation that has as its kernel a periodic Green's function. The periodic Green's function can be derived
Beyond Clausius-Mossotti - Wave propagation on a polarizable point lattice and the discrete dipole approximation. [electromagnetic scattering and absorption by interstellar grains]
We derive the dispersion relation for electromagnetic waves propagating on a lattice of polarizable points. From this dispersion relation we obtain a prescription for choosing dipole polarizabilities
The discrete-dipole approximation and its application to interstellar graphite grains
The discrete dipole approximation (DDA), a flexible method for computing scattering of radiation by particles of arbitrary shape, is extended to incorporate the effects of radiative reaction and to
Electromagnetic force on a metallic particle in the presence of a dielectric surface.
By using a method, previously established to calculate electromagnetic fields, we compute the force of light upon a metallic particle. This procedure is based on both Maxwell’s Stress Tensor and the
Spontaneous Emission in Microcavity Electrodynamics
We present a general, semimicroscopic, self-consistent treatment of spontaneous emission for a two-level atom in a dielectric microcavity with arbitrary shape. Both lossless and absorbing media are
Contribution of evanescent waves to the far field: the atomic point of view.
TLDR
This work provides an explicit demonstration that evanescent modes do not contribute to the power radiated to the far field by any dipolar source, using linear response theory to compute the decay rate for an atomic dipole in vacuum.
...
...