# The discrete dipole approximation: an overview and recent developments

@article{Yurkin2007TheDD, title={The discrete dipole approximation: an overview and recent developments}, author={Maxim A. Yurkin and Alfons G. Hoekstra}, journal={Journal of Quantitative Spectroscopy \& Radiative Transfer}, year={2007}, volume={106}, pages={558-589} }

## 585 Citations

Comparison of discrete exterior calculus and discrete-dipole approximation for electromagnetic scattering

- Computer Science, Mathematics
- 2014

Extinction, scattering and absorption of electromagnetic waves in the coupled-dipole approximation

- PhysicsJournal of Quantitative Spectroscopy and Radiative Transfer
- 2019

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.

Scattering of generalized Bessel beams simulated with the discrete dipole approximation

- PhysicsJournal of Physics: Conference Series
- 2021

We consider the simulation of scattering of the high-order vector Bessel beams in the discrete dipole approximation framework (DDA). For this purpose, a new general classification of all existing…

Rigorous and Fast Discrete Dipole Approximation for Particles near a Plane Interface

- Physics
- 2015

The discrete dipole approximation (DDA) is a widely used method for simulation of various optical properties of nanoparticles of arbitrary shape and composition. We present a modification of the DDA…

Current capabilities of the discrete dipole approximation for very large particles: speed, accuracy, and computational tricks

- Computer Science
- 2007

The convergence of DDA with refining discretization is discussed and it is shown how an extrapolation technique can be used to increase DDA accuracy and provide a reliable error estimate.

Systematic comparison of the discrete dipole approximation and the finite difference time domain method

- Physics
- 2007

We compare the discrete dipole approximation (DDA) and the finite difference time domain (FDTD) method for simulating light scattering of spheres in a range of size parameters x up to 80 and…

Light scattering simulations with the discrete dipole approximation

- Computer Science
- 2014

DDA is a general method to compute scattering and absorption of electromagnetic waves by particles of arbitrary geometry and composition. The Maxwell equations are solved in the frequency domain…

## References

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Discrete-Dipole Approximation For Scattering Calculations

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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…

Radiation forces in the discrete-dipole approximation.

- PhysicsJournal of the Optical Society of America. A, Optics, image science, and vision
- 2001

The theory of the discrete-dipole approximation for light scattering is extended to allow for the calculation of radiation forces on each dipole in the DDA model, allowing for an efficient, O(N logN) evaluation of the forces.

Light scattering by an arbitrary particle: a physical reformulation of the coupled dipole method.

- PhysicsOptics letters
- 1987

The coupled dipole model of scattering by an arbitrary particle has been reformulated in terms of internal scattering processes of all orders. This formalism readily permits physical interpretation…

Convergence of the discrete dipole approximation. I. Theoretical analysis.

- MathematicsJournal of the Optical Society of America. A, Optics, image science, and vision
- 2006

We perform a rigorous theoretical convergence analysis of the discrete dipole approximation (DDA). We prove that errors in any measured quantity are bounded by a sum of a linear term and a quadratic…

Multidipole formulation of the coupled dipole method for electromagnetic scattering by an arbitrary particle

- Physics
- 1992

We present an improved formulation for low-frequency light scattering by an arbitrarily shaped particle, using a multiple-scattering development of a modified coupled dipole method. In this…

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

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Abstract The coupled-dipole approximation is used to study theoretically the scattering of light from an infinite linear one-dimensional chain of monomers interacting via dipole fields. It is shown…

Theoretical factors in modeling polarized light scattering by arbitrary particles.

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Comparison of the results of the approximate method with the exact theory for a sphere shows that the size of the units required for S(34) is much smaller than the size required for calculating S(11) with similar accuracy.

Systematic comparison of the discrete dipole approximation and the finite difference time domain method

- Physics
- 2007

We compare the discrete dipole approximation (DDA) and the finite difference time domain (FDTD) method for simulating light scattering of spheres in a range of size parameters x up to 80 and…