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The discrete-dipole approximation (DDA) is a powerful method for calculating absorption and scattering by targets that have sizes smaller than or comparable to the wavelength of the incident radiation. We present a new prescription -- the…

Astrophysics · Physics 2015-06-24 Matthew J. Collinge , B. T. Draine

The discrete-dipole approximation (DDA) is a flexible technique for computing scattering and absorption by targets of arbitrary geometry. In this paper we perform systematic study of various non-stationary iterative (conjugate gradient)…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Piotr J. Flatau

We present a review of the discrete dipole approximation (DDA), which is a general method to simulate light scattering by arbitrarily shaped particles. We put the method in historical context and discuss recent developments, taking the…

Optics · Physics 2022-03-30 Maxim A. Yurkin , Alfons G. Hoekstra

DDSCAT.5a is a freely available software package which applies the "discrete dipole approximation" (DDA) to calculate scattering and absorption of electromagnetic waves by targets with arbitrary geometries and complex refractive index. The…

Astrophysics · Physics 2007-05-23 B. T. Draine , Piotr J. Flatau

DDSCAT 7.2 is a freely available open-source Fortran-90 software package applying the discrete dipole approximation (DDA) to calculate scattering and absorption of electromagnetic waves by targets with arbitrary geometries and complex…

Computational Physics · Physics 2012-05-16 Bruce T. Draine , Piotr J. Flatau

DDSCAT 6.1 is a software package which applies the discrete dipole approximation (DDA) to calculate scattering and absorption of electromagnetic waves by targets with arbitrary geometries and complex refractive index. DDSCAT 6.1 allows…

Astrophysics · Physics 2007-05-23 Bruce T. Draine , Piotr J. Flatau

We performed 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 and quadratic term in the size of a dipole d, when the…

Optics · Physics 2022-03-31 Maxim A. Yurkin , Valeri P. Maltsev , Alfons G. Hoekstra

In this manuscript we investigate the capabilities of the Discrete Dipole Approximation (DDA) to simulate scattering from particles that are much larger than the wavelength of the incident light, and describe an optimized publicly available…

Optics · Physics 2007-05-23 Maxim A. Yurkin , Valeri P. Maltsev , Alfons G. Hoekstra

DDSCAT.6.0 is a freely available software package (http://www.astro.princeton.edu/~draine/DDSCAT.6.0.html) which applies the "discrete dipole approximation" (DDA) to calculate scattering and absorption of electromagnetic waves by targets…

Astrophysics · Physics 2007-05-23 B. T. Draine , P. J. Flatau

DDSCAT 7.3 is an open-source Fortran-90 software package applying the discrete dipole approximation to calculate scattering and absorption of electromagnetic waves by targets with arbitrary geometries and complex refractive index. The…

Computational Physics · Physics 2013-05-29 B. T. Draine , P. J. Flatau

DDSCAT 7.0 is an open-source Fortran-90 software package applying the discrete dipole approximation to calculate scattering and absorption of electromagnetic waves by targets with arbitrary geometries and complex refractive index. The…

Astrophysics · Physics 2009-03-10 B. T. Draine , P. J. Flatau

DDSCAT 7.1 is an open-source Fortran-90 software package applying the discrete dipole approximation to calculate scattering and absorption of electromagnetic waves by targets with arbitrary geometries and complex refractive index. The…

Instrumentation and Methods for Astrophysics · Physics 2010-02-09 B. T. Draine , P. J. Flatau

The discrete dipole approximation (DDA) is a popular numerical method for calculating the scattering properties of atmospheric ice crystals. The standard DDA formulation involves the uniform discretization of the underlying volume integral…

Computational Physics · Physics 2019-03-26 Samuel P. Groth , Athanasios G. Polimeridis , Jacob K. White

We provide a theoretical foundation for the statistical approach for computing the absorption properties of particles in the Rayleigh domain. We present a general method based on the Discrete Dipole Approximation (DDA) to compute the…

Astrophysics · Physics 2015-06-24 M. Min , J. W. Hovenier , C. Dominik , A. de Koter , M. A. Yurkin

We present a method of incorporating the discrete dipole approximation (DDA) method with the point matching method to formulate the T-matrix for modeling arbitrarily shaped micro-sized objects. The \emph{T}-matrix elements are calculated…

The discrete dipole approximation (DDA) is a widely used and versatile numerical method for solving electromagnetic scattering by arbitrarily shaped objects. Despite its popularity, quantitative comparisons between independent…

Computational Physics · Physics 2026-05-13 Clément Argentin , Patrick C. Chaumet , Michel Gross , Maxim A. Yurkin

Rigorous coupled-wave analysis (RCWA) is a very effective tool for the studying optical properties of multilayered vertically invariant periodic structures. However, it fails to deal with arrays of small particles because of high gradients…

Optics · Physics 2019-10-08 Ilia M. Fradkin , Sergey A. Dyakov , Nikolay A. Gippius

Motivated by the discrete dipole approximation (DDA) for the scattering of electromagnetic waves by a dielectric obstacle that can be considered as a simple discretization of a Lippmann-Schwinger style volume integral equation for…

Numerical Analysis · Mathematics 2025-08-01 Martin Costabel , Monique Dauge , Khadijeh Nedaiasl

We investigate the wave-optical light scattering properties of deformed thin circular films of constant thickness using the discrete-dipole approximation. Effects on the intensity distribution of the scattered light due to different…

Optics · Physics 2020-10-09 Hannu Parviainen , Kari Lumme

This work presents a highly optimized computational framework for the Discrete Dipole Approximation, a numerical method for calculating the optical properties associated with a target of arbitrary geometry that is widely used in…

Instrumentation and Methods for Astrophysics · Physics 2009-08-07 James Mc Donald , Aaron Golden , S. Gerard Jennings
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