Discrete-Dipole Approximation For Scattering Calculations

  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},
  • B. DraineP. Flatau
  • Published 1 April 1994
  • Physics
  • Journal of The Optical Society of America A-optics Image Science and Vision
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… 

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

  • B. DraineP. Flatau
  • Physics
    Journal 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.

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.

  • M. CollingeB. Draine
  • Physics
    Journal 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.

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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.

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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.

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

  • Vadim A. Markel
  • Physics
    Journal of Quantitative Spectroscopy and Radiative Transfer
  • 2019

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

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

  • M. Yurkin
  • Computer Science
    2016 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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The coupled dipole approximation is applied to the calculation of the scattering matrix of an arbitrary particle. Both isotropic and anisotropic dipoles are used in the calculations. The forms of the

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This paper applies two different techniques to the problem of scattering by two spheres in contact: modal analysis and the discrete-dipole approximation, showing that the lattice dispersion relation provides excellent improvement over the Clausius-Mossoti polarizability parameterization.

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  • S. B. SinghamC. Bohren
  • Mathematics, Physics
    Journal of the Optical Society of America. A, Optics and image science
  • 1988
The field scattered by an arbitrary particle modeled as an array of coupled dipoles can be expressed as an infinite series in terms of scattering orders, and the approximate method agrees well with the exact theory for a sphere.

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

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

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Light scattering from particles or structures on a surface is calculated by using a modification of the coupled-dipole method. The interaction matrix is modified for the presence of the surface by

Analysis of radiative scattering for multiple sphere configurations

  • D. Mackowski
  • Physics, Mathematics
    Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
  • 1991
An analysis of radiative scattering for an arbitrary configuration of neighbouring spheres is presented. The analysis builds upon the previously developed superposition solution, in which the


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