УДК: 535.36

Rayleigh approximation for light scattering at parallelepipeds

Publication in Journal of Optical Technology

For Russian citation (Opticheskii Zhurnal):

Фарафонов В.Г., Ильин В.Б. Приближение Рэлея для светорассеяния на параллелепипедах // Оптический журнал. 2014. Т. 81. № 7. С. 17–25.

Farafonov V.G., Iliin V.B. Rayleigh approximation for light scattering at parallelepipeds [in Russian] // Opticheskii Zhurnal. 2014. V. 81. № 7. P. 17–25.

For citation (Journal of Optical Technology):

V. G. Farafonov and V. B. Il’in, "Rayleigh approximation for light scattering at parallelepipeds," Journal of Optical Technology. 81(7), 375-381 (2014). https://doi.org/10.1364/JOT.81.000375

Abstract:

This paper discusses the Rayleigh approximation and solves the corresponding electrostatic problem for a nonspherical particle of virtually arbitrary (starlike) shape, using an analog of the expanded-boundary-condition method. The essence of the recently proposed uniform-internal-field approximation, which gives approximating relationships for the Rayleigh approximation, is explained. Simple analytical expressions for the polarizability and other optical characteristics of small rectangular parallelepipeds are given in terms of the uniform-internal-field approximation. The results of numerical calculations of the absorption and scattering cross sections of light by such particles obtained from these approximate formulas and by the exact discrete-dipole method showed good agreement, especially for averaged cross sections in the case of unpolarized light or ensembles of randomly oriented parallelepipeds.

Keywords:

light-scattering theory, electrostatic approximation

Acknowledgements:

This work was carried out with the financial support of the Ministry of Education and Science of Russia in the framework of the basic part of State Program GUAP in 2013–14, the Russian Foundation for Basic Research (13-02-00138a), and the St. Petersburg State University (6.0.122.2010, 6.38.669.2013).

OCIS codes: 290.5825, 290.5870

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