# Discrete-Dipole Approximation For Scattering Calculations

@article{Draine1994DiscreteDipoleAF, title={Discrete-Dipole Approximation For Scattering Calculations}, author={Bruce T. Draine and Piotr J. Flatau}, journal={Journal of The Optical Society of America A-optics Image Science and Vision}, year={1994}, volume={11}, pages={1491-1499} }

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 complex-conjugate gradient algorithms and fast-Fourier-transform methods, are discussed. We test the accuracy of the DDA by using the DDA to compute scattering and absorption by isolated, homogeneous spheres as well as by targets consisting of two contiguous spheres. It is shown that, for dielectric…

## 2,976 Citations

### Discrete-dipole approximation for periodic targets: theory and tests.

- PhysicsJournal of the Optical Society of America. A, Optics, image science, and vision
- 2008

The scattering amplitude matrix and the 4 x 4 Mueller matrix are generalized to describe scattering by singly and doubly periodic targets and it is shown how these matrices can be calculated using the DDA.

### 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.

### Discrete-dipole approximation with polarizabilities that account for both finite wavelength and target geometry.

- PhysicsJournal of the Optical Society of America. A, Optics, image science, and vision
- 2004

This work presents a new prescription-the surface-corrected-lattice-dispersion relation (SCLDR)--for assigning the dipole polarizabilities while taking into account both target geometry and finite wavelength.

### Discrete-dipole-approximation-based light-scattering calculations for particles with a real refractive index smaller than unity.

- PhysicsApplied optics
- 1996

A comparison of the results shows that the DDA is applicable in the above refractive-index regime, and the conditions under which DDA-based calculations can provide scattering data with good accuracy are discussed.

### Efficient iterative solution of the discrete dipole approximation for magnetodielectric scatterers.

- MathematicsOptics letters
- 2009

The discrete dipole approximation has been widely used to study light scattering by nonmagnetic objects but when the scatterer has a nonzero magnetic susceptibility, the linear system becomes nonsymmetric, and some of the most commonly used iterative methods fail to work.

### Comparison between discrete dipole implementations and exact techniques

- Computer Science, Physics
- 2007

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

- PhysicsJournal of Quantitative Spectroscopy and Radiative Transfer
- 2019

### 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…

### Performance of iterative solvers in the discrete dipole approximation

- Computer Science2016 URSI International Symposium on Electromagnetic Theory (EMTS)
- 2016

The discrete dipole approximation is studied, varying the particle refractive index, DDA formulation (including non-standard ones), and several Krylov-subspace iterative solvers, so the conclusions can be directly employed by the practitioners of the DDA.

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