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Codes for electromagnetic scattering by spheres

Codes for electromagnetic scattering by spheres - this article list codes for electromagnetic scattering by a homogeneous sphere, layered sphere, and cluster of spheres.

Solution techniques

Majority of existing codes for calculation of electromagnetic scattering by a single sphere is based on Mie theory which is an analytical solution of Maxwell's equations in terms of infinite series. Other approximations to scattering by a single sphere include: Debye series, ray tracing (geometrical optics), ray tracing including the effects of interference between rays, Airy theory, Rayleigh scattering, diffraction approximation. There are many phenomena related to light scattering by spherical particles such as resonances, surface waves, plasmons, near-field scattering. Even though Mie theory offers convenient and fast way of solving light scattering problem by homogeneous spherical particles, there are other techniques, such as discrete dipole approximation, FDTD, T-matrix, which can also be used for such tasks.

Classification

The compilation contains information about the electromagnetic scattering by spherical particles, relevant links, and applications.

Codes for electromagnetic scattering by a single homogeneous sphere

Year	Name	Authors	Language	Short Description
1983	BHMIE	Craig F. Bohren and Donald R. Huffman		"Mie solutions" (infinite series) to scattering, absorption and phase function of electromagnetic waves by a homogeneous sphere.
2002	MiePlot	Philip Laven	Visual Basic	MiePlot offers the following mathematical models for the scattering of light by a sphere: Mie solutions, Debye series, ray tracing (based on geometrical optics), ray tracing including the effects of interference between rays, Airy theory, Rayleigh scattering, diffraction, surface waves. In addition to single-wavelength calculations, MiePlot can also perform calculations for some wavelengths, thus approximating a continuous spectrum (such as sunlight) to produce simulations of atmospheric optical effects such as rainbows, coronas and glories.
2003	Mie_Single etc.	Gareth Thomas and Don Grainger	IDL	The Sub-Department of Atmospheric Oceanic and Planetary Physics in the University of Oxford maintains an archive of Mie scattering routines for both single spheres and populations of particles in which sizes follow a log-normal distribution. The code is also available for calculating the analytical derivatives of Mie scattering (i.e. the derivative of the extinction and scattering coefficients, and the intensity functions with respect to size parameter and complex refractive index). The routines are written in IDL, but a Fortran-based DLM version (which substantially reduces runtime) of the single-sphere code is also available.

Codes for electromagnetic scattering by a layered sphere

Algorithmic literature includes several contributions

Year	Name	Authors	Ref	Language
1981	DMILAY	Owen B. Toon and T. P. Ackerman		Fortran	No license specified but open source (public domain)
1983	BHCOAT	Craig F. Bohren and Donald R. Huffman		Fortran	No specified but open source (public domain via )
1997	BART	A. Quirantes	A Quirantes and A V Delgado, The scattering of light by a suspension of coated spherical	Fortran	Open source (own license)
2004	MjcLscCoatSph	M. Jonasz		GUI/Windows	Proprietary / closed source
2007		L. Liu, H. Wang, B. Yu, Y. Xu, J. Shen		C	Unknown
2009-2022	Scattnlay	O. Pena, U. Pal, K. Ladutenko		C++, Python, and JavaScript	GPLv3

Codes for electromagnetic scattering by cluster of spheres

Year	Name	Authors	Language	Short Description
1998-2003	GMM	Yu-lin Xu and Bo A. S. Gustafson	Fortran	Codes which calculate exactly electromagnetic scattering by an aggregate of spheres in a single orientation or at an average over individual orientations.
2013	MSTM	D. W. Mackowski	Fortran	Codes which calculate exactly electromagnetic scattering by an aggregate of spheres and spheres within spheres for complex materials. Works in parallel as well.
2015	py_gmm	G. Pellegrini	Python + Fortran	A Python + Fortran 90 implementation of the Generalized Multiparticle Mie method, especially suited for plasmonics and near field computation.
2017	CELES	A. Egel, L. Pattelli and G. Mazzamuto	MATLAB + CUDA	Running on NVIDIA GPUs, with high performance for many spheres.
2020	QPMS	M. Nečada	C, Python	Many-particle simulations in homogeneous media, supports various particle shapes in finite as well as infinite periodic configurations.
2021	SMUTHI	A. Egel et al.	Python + Fortran + CUDA	Many spheres in stratified media, other particle shapes are available.

Relevant scattering codes

Discrete dipole approximation codes
Codes for electromagnetic scattering by cylinders

References

Bohren, Craig F. and Donald R. Huffman, Absorption and scattering of light by small particles, New York : Wiley, 1998, 530 p., {{ISBN. 0-471-29340-7, {{ISBN. 978-0-471-29340-8 (second edition)
(2009). "Light scattering theories and computer codes". [[Journal of Quantitative Spectroscopy and Radiative Transfer]].
This code is maintained as part of scatterlib, and can be downloaded from http://scatterlib.wikidot.com/mie
The MiePlot program can be downloaded from http://www.philiplaven.com/mieplot.htm
Philip Laven, "Simulation of Rainbows, Coronas, and Glories by use of Mie Theory", Applied Optics Vol. 42, 3, 436-444 (January 2003) plus various other published papers (all available at http://www.philiplaven.com/Publications.html).
(2004). "The Calculation of Mie Derivatives". Appl. Opt..
(1990). "Internal absorption cross sections in a stratified sphere". Applied Optics.
(2003). "Improved recursive algorithm for light scattering by a multilayered sphere". Applied Optics.
(1981). "Algorithms for the calculation of scattering by stratified spheres". Applied Optics.
(2007). "Improved algorithm of light scattering by a coated sphere". China Particuology.
(15 October 1981). "Algorithms for the calculation of scattering by stratified spheres". Applied Optics.
/http://www.ugr.es/~aquiran/ciencia/codigos/bart.f
"||".
(2007). "Improved algorithm of light scattering by a coated sphere". China Particuology.
O Pena and U Pal, Scattering of EM radiation by a multilayer sphere, Computer Physics Communications, 180, 2348-2354, 2009
W Yang, Improved recursive algorithm for light scattering by a multilayered sphere, Applied Optics, Vol. 42, No. 9, 2003
Yu-lin Xu, Bo A.S. Gustafson, A generalized multiparticle Mie-solution: further experimental verification, Journal of Quantitative Spectroscopy & Radiative Transfer 70 (2001) 395–419
"Scatcodes".
(2019-02-11). "A Generalized Multiparticle Mie code, especially suited for plasmonics: Gevero/py_gmm".
(2019-02-14). "CELES: CUDA-accelerated electromagnetic scattering by large ensembles of spheres: Disordered-photonics/celes".
(2022). "QPMS: Electromagnetic multiple scattering library and toolkit.".
(2022-01-21). "SMUTHI: Scattering by multiple particles in thin-film systems".
Amos Egel, Krzysztof M. Czajkowski, Dominik Theobald, Konstantin Ladutenko, Alexey S. Kuznetsov, Lorenzo Pattelli, SMUTHI: A python package for the simulation of light scattering by multiple particles near or between planar interfaces, Journal of Quantitative Spectroscopy and Radiative Transfer, Volume 273, p. 107846 (2021) [https://doi.org/10.1016/j.jqsrt.2021.107846 DOI]

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