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Discrete dipole approximation codes


Discrete dipole approximation codes. This is a list of Discrete Dipole Approximation (DDA) codes. The "code" here indicates computer code, a particular implementation of the DDA (many of them are open-source). For theoretical approach see Discrete dipole approximation article.

Most of the codes apply to arbitrary-shaped inhomogeneous nonmagnetic particles and particle systems in free space or homogeneous dielectric host medium. The calculated quantities typically include the Mueller matrices, integral cross-sections (extinction, absorption, and scattering), internal fields and angle-resolved scattered fields (phase function). There are some published comparisons of existing DDA codes.

General-purpose open-source DDA codes

These codes typically use regular grids (cubical or rectangular cuboid), conjugate gradient method to solve large systems of linear equations, and FFT-acceleration of the matrix-vector products which uses convolution theorem. Complexity of this approach is almost linear in number of dipoles for both time and memory.

NameAuthorsReferencesLanguageUpdatedFeatures
DDSCATDraine and FlatauFortran2019 (v.7.3.3)Can also handle periodic particles and efficiently calculate near fields. Uses OpenMP acceleration.
DDscat.C++CholiyC++2017 (v.7.3.1)Version of DDSCAT translated to C++ with some further improvements.
ADDAYurkin, Hoekstra, and contributorsC2020 (v.1.4.0)Implements fast and rigorous consideration of a plane substrate, and allows rectangular-cuboid voxels for highly oblate or prolate particles. Can also calculate emission (decay-rate) enhancement of point emitters. Near-fields calculation is not very efficient. Uses Message Passing Interface (MPI) parallelization and can run on GPU (OpenCL).
OpenDDAMcDonaldC2009 (v.0.4.1)Uses both OpenMP and MPI parallelization. Focuses on computational efficiency.
DDA-GPUKießC++2016Runs on GPU (OpenCL). Algorithms are partly based on ADDA.
VIE-FFTShaC/C++2019Also calculates near fields and material absorption. Named differently, but the algorithms are very similar to the ones used in the mainstream DDA.
VoxScatter Groth, Polimeridis, and WhiteMatlab2019Uses circulant preconditioner for accelerating iterative solvers
IF-DDAChaumet, Sentenac, and SentenacFortran, GUI in C++ with Qt2021 (v.0.9.19)Idiot-friendly DDA. Uses OpenMP and HDF5. Has a separate version (IF-DDAM) for multi-layered substrate.
MPDDAShabaninezhad, Awan, and RamakrishnaMatlab2021 (v.1.0)Runs on GPU (using Matlab capabilities)
CPDDADibo Xu and othersPython2025GPU acceleration using CuPy

Specialized DDA codes

These list include codes that do not qualify for the previous section. The reasons may include the following: source code is not available, FFT acceleration is absent or reduced, the code focuses on specific applications not allowing easy calculation of standard scattering quantities.

NameAuthorsReferencesLanguageUpdatedFeatures
DDSURF, DDSUB, DDFILMSchmehl, Nebeker, and ZhangFortran2008Rigorous handling of semi-infinite substrate and finite films (with arbitrary particle placement), but only 2D FFT acceleration is used.
DDMMMackowskiFortran2002Calculates T-matrix, which can then be used to efficiently calculate orientation-averaged scattering properties.
CDAMcMahonMatlab2006
DDA-SILokeMatlab2014 (v.0.2)Rigorous handling of substrate, but no FFT acceleration is used.
PyDDADmitrievPython2015Reimplementation of DDA-SI
*e*-DDAVaschillo and BigelowFortran2019 (v.2.0)Simulates electron-energy loss spectroscopy and cathodoluminescence. Built upon DDSCAT 7.1.
DDEELSGeuquet, Guillaume and HenrardFortran2013 (v.2.1)Simulates electron-energy loss spectroscopy and cathodoluminescence. Handles substrate through image approximation, but no FFT acceleration is used.
T-DDAEdalatpourFortran2015Simulates near-field radiative heat transfer. The computational bottleneck is direct matrix inversion (no FFT acceleration is used). Uses OpenMP and MPI parallelization.
CDDARosales, Albella, González, Gutiérrez, and Moreno2021Applies to chiral systems (solves coupled equations for electric and magnetic fields)
PyDScatYibin Jiang, Abhishek Sharma and Leroy CroninPython2023Simulates nanostructures undergoing structural transformation with GPU acceleration.

References

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References

  1. (2023). "An Accelerated Method for Investigating Spectral Properties of Dynamically Evolving Nanostructures". The Journal of Physical Chemistry Letters.
  2. (2025). "CPDDA: A Python Package for Discrete Dipole Approximation Accelerated by CuPy". Nanomaterials.
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