Geodesic
Numerical solution of Maxwell equations for definition of scattering indicatrixes of light by ice crystals
Matematičeskoe modelirovanie, Tome 23 (2011) no. 1, pp. 132-142.

Voir la notice de l'article provenant de la source Math-Net.Ru

The algorithm of numerical solution of Maxwell equations with application of the method of weighed residuals is developed. Effective program realization with use the finite-elements approximation is considered. The numerical solution of Maxwell equations is used for scattering indicatrixes of light by nonspherical particles of crystal clouds definition. The scattering indicatrixes for particles having the shape of a hexagonal prism and droxtal, with the sizes exceeding a wave length of incident radiation greatly is considered.
Keywords: Maxwell's equations, the weighted residuals method, mathematical modeling, computational algorithm, computing experiment, the problem of dispersion plane electromagnetic wave, crystal clouds. 
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     author = {Igor E. Naatz and Eduard I. Naatz},
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Igor E. Naatz; Eduard I. Naatz. Numerical solution of Maxwell equations for definition of scattering indicatrixes of light by ice crystals. Matematičeskoe modelirovanie, Tome 23 (2011) no. 1, pp. 132-142. http://geodesic.mathdoc.fr/item/MM_2011_23_1_a10/

[1] Zuev V. E., Naats I. E., Obratnye zadachi optiki atmosfery, Gidrometeoizdat, L., 1990, 286 pp.

[2] Yang P., Liou K. N., “Geometric-optics-integral-equation method for light scattering by nonspherical ice crystals”, Appl. Opt., 35 (1996), 6568–6584 | DOI

[3] Mishchenko M. I., Travis L. D., Lacis A. A., Scattering, Absorption and Emission of Light by Small Particles, U. Press, Cambridge, 2002

[4] Yang P., Baum B. A., Heymsfield A. J., Hu Y.-X., Huang H.-L., Tsay S.-C., Ackerman S. A., “Single scattering properties of droxtals”, J. Quant. Spectros. Rad. Transfer, 79–80 (2003), 1159–1169 | DOI

[5] Taflove A., Hagness S. C., Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd Edition, Artech House, Inc., Norwood, MA, 2000 | MR | Zbl

[6] Fletcher K., Chislennye metody na osnove metoda Galerkina, Mir, M., 1988, 352 pp.

[7] Kunz K. S., Luebbers R. J., The Finite-Difference Time-Domain Method for Electromagnetics, CRC Press, Boca Raton, FL, 1993

[8] Warren S. G., “Optical constants of ice from the ultraviolet to the microwave”, Appl. Opt., 23 (1984), 1206–1225 | DOI