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. Some of the source codes may be available on [1].

Solution techniques

Majority of existing codes for calculaton 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. ^[1]

Classification

The compilation contains information about the electromagnetic scattering by spherical particles, relevant links, and applications. ^[2]

Codes for electromagnetic scattering by a single homogeneous sphere

Year	Name	Authors	References	Language	Short Description
1983	BHMIE	Craig F. Bohren and Donald R. Huffman	[1]	Fortran IDLMatlab C Python	"Mie solutions" (infinite series) to scattering, absorption and phase function of electromagnetic waves by a homogeneous sphere.
2002	MiePlot [3]	Philip Laven	[4]	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 a number of 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[5]	Gareth Thomas and Don Grainger	[6]	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. 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 ^{[7] [8] [9] [10]}

Year	Name	Authors	References	Language	Short Description
1981	DMILAY	Owen B. Toon and T. P. Ackerman	[9]	Fortran	Scattering by a stratified sphere (a particle with a spherical core surrounded by a spherical shell.
1983	BHCOAT	Craig F. Bohren and Donald R. Huffman	[1]	Fortran	"Mie solutions" (infinite series) to scattering, absorption and phase function of electromagnetic waves by a homogeneous concentring shells.
1993	IFCS, LSCCS	Thomas Kaiser and G. Schweiger	[11]	Fortran	Computes an internal field inside a coated sphere and the scattered field of a sphere with 0, 1 or 2 coatings.
1997	BART [12]	A. Quirantes	[13]	Fortran	Based on the Aden–Kerker theory to calculate light-scattering properties for coated spherical particles
2004	[14]	M. Jonasz		GUI/Windows	This program calculates the scattering, absorption, and attenuation parameters, as well as the angular scattering patterns of a single coated sphere according to Aden-Kerker theory.
2007		L. Liu, H. Wang, B. Yu, Y. Xu, J. Shen	[15]	C	Light scattering by a coated sphere (extinction efficiency, scattering efficiency, light scattering intensity)

Codes for electromagnetic scattering by cluster of spheres

Year	Name	Authors	References	Language	Short Description
1998-2003	GMM	Yu-lin Xu and Bo A. S. Gustafson	[16]	Fortran	Codes which calculate exactly electromagnetic scattering by an aggregate of spheres in a single orientation or at an average over individual orientations.

Relevant scattering codes

• Discrete dipole approximation codes
• Codes for electromagnetic scattering by cylinders

Links

• Scatterlib - Google Code repository of light scattering codes

See also

• Computational electromagnetics
• Light scattering by particles
• List of atmospheric radiative transfer codes
• Optical properties of water and ice
• Mie theory

References

1. ^ ^{a b c} Bohren, Craig F. and Donald R. Huffman, Absorption and scattering of light by small particles, New York : Wiley, 1998, 530 p., ISBN 0471293407, ISBN 9780471293408 (second edition)
2. ^ T. Wriedt, Light scattering theories and computer codes, Journal of Quantitative Spectroscopy and Radiative Transfer, 110, 833-843, 2009.
3. ^ The MiePlot program can be downloaded from http://www.philiplaven.com/mieplot.htm
4. ^ 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).
5. ^ A collection of Mie scattering routines for both single spheres and log-normal distributions can be downloaded from http://www-atm.physics.ox.ac.uk/code/mie/index.html
6. ^ Grainger, R.G., J. Lucas, G.E. Thomas, G. Ewan, "The Calculation of Mie Derivatives", Appl. Opt., 43(28), 5386-5393, 2004.
7. ^ Mackowski, D.W., Altenkirch, R. A., & Menguc, M. P. (1990). Internal absorption cross sections in a stratified sphere. Applied Optics, 29(10), 1551–1559.
8. ^ Yang, W. (2003). Improved recursive algorithm for light scattering by a multilayered sphere. Applied Optics, 42(9), 1710–1720.
9. ^ ^{a b} Toon, O. B., and Ackerman, T. P. (1981). Algorithms for the calculation of scattering by stratified spheres. Applied Optics, 20(20), 3657–3660.
10. ^ L. Liu, H. Wang, B. Yu, Y. Xua, J. Shen, Improved algorithm of light scattering by a coated sphere, China Particuology 5 (2007) 230–236.
11. ^ T. Kaiser and G. Schweiger, Stable algorithm for the computation of Mie coefficients for scattered and transmitted fields of a coated sphere Comput. Phys. 1993, 7, 682-686.
12. ^ /http://www.ugr.es/~aquiran/ciencia/codigos/bart.f
13. ^ A Quirantes and A V Delgado, The scattering of light by a suspension of coated spherical particles: effects of polydispersity on cross sections, J. Phys. D: Appl. Phys. 30 (1997) 2123–2131.
14. ^ http://www.mjcopticaltech.com/Products/LscCoatSphHelp.htm
15. ^ L. Liu, H. Wang, B. Yu, Y. Xu, J. Shen, Improved algorithm of light scattering by a coated sphere, China Particuology, 5, 230-236, 2007
16. ^ Yu-lin Xu , Bo A.S. Gustafson, A generalized multiparticle Mie-solution: further experimental verifcation, Journal of Quantitative Spectroscopy & Radiative Transfer 70 (2001) 395–419