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Analysis of the generalized separation of variables method in the electrostatic case. / Farafonov, Victor G.; Il'In, Vladimir B.; Ustimov, Vladimir I.; Sokolovskaya, Maria V.

Proceedings of the International Conference Days on Diffraction 2017, DD 2017. Vol. 2017-December Institute of Electrical and Electronics Engineers Inc., 2017. p. 104-109.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Farafonov, VG, Il'In, VB, Ustimov, VI & Sokolovskaya, MV 2017, Analysis of the generalized separation of variables method in the electrostatic case. in Proceedings of the International Conference Days on Diffraction 2017, DD 2017. vol. 2017-December, Institute of Electrical and Electronics Engineers Inc., pp. 104-109, 2017 International Conference Days on Diffraction, DD 2017, St. Petersburg, Russian Federation, 18/06/17. https://doi.org/10.1109/DD.2017.8168005

APA

Farafonov, V. G., Il'In, V. B., Ustimov, V. I., & Sokolovskaya, M. V. (2017). Analysis of the generalized separation of variables method in the electrostatic case. In Proceedings of the International Conference Days on Diffraction 2017, DD 2017 (Vol. 2017-December, pp. 104-109). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2017.8168005

Vancouver

Farafonov VG, Il'In VB, Ustimov VI, Sokolovskaya MV. Analysis of the generalized separation of variables method in the electrostatic case. In Proceedings of the International Conference Days on Diffraction 2017, DD 2017. Vol. 2017-December. Institute of Electrical and Electronics Engineers Inc. 2017. p. 104-109 https://doi.org/10.1109/DD.2017.8168005

Author

Farafonov, Victor G. ; Il'In, Vladimir B. ; Ustimov, Vladimir I. ; Sokolovskaya, Maria V. / Analysis of the generalized separation of variables method in the electrostatic case. Proceedings of the International Conference Days on Diffraction 2017, DD 2017. Vol. 2017-December Institute of Electrical and Electronics Engineers Inc., 2017. pp. 104-109

BibTeX

@inproceedings{012b5ba6473f452e9f41b813f9ee67ab,
title = "Analysis of the generalized separation of variables method in the electrostatic case",
abstract = "We analyze the applicability of the separation of variables method to non-spherical particles. Using a spherical basis, this method reduces the electrostatic problem to an infinite system of linear equations. We examine the asymptotic behavior of the matrix elements and find the necessary condition of solvability of the system. The analysis is supported by special numerical calculations of the element asymptotics as well as of the T-matrix, polarizability, etc.",
author = "Farafonov, {Victor G.} and Il'In, {Vladimir B.} and Ustimov, {Vladimir I.} and Sokolovskaya, {Maria V.}",
year = "2017",
month = dec,
day = "5",
doi = "10.1109/DD.2017.8168005",
language = "English",
volume = "2017-December",
pages = "104--109",
booktitle = "Proceedings of the International Conference Days on Diffraction 2017, DD 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "2017 International Conference Days on Diffraction, DD 2017 ; Conference date: 18-06-2017 Through 22-06-2017",

}

RIS

TY - GEN

T1 - Analysis of the generalized separation of variables method in the electrostatic case

AU - Farafonov, Victor G.

AU - Il'In, Vladimir B.

AU - Ustimov, Vladimir I.

AU - Sokolovskaya, Maria V.

PY - 2017/12/5

Y1 - 2017/12/5

N2 - We analyze the applicability of the separation of variables method to non-spherical particles. Using a spherical basis, this method reduces the electrostatic problem to an infinite system of linear equations. We examine the asymptotic behavior of the matrix elements and find the necessary condition of solvability of the system. The analysis is supported by special numerical calculations of the element asymptotics as well as of the T-matrix, polarizability, etc.

AB - We analyze the applicability of the separation of variables method to non-spherical particles. Using a spherical basis, this method reduces the electrostatic problem to an infinite system of linear equations. We examine the asymptotic behavior of the matrix elements and find the necessary condition of solvability of the system. The analysis is supported by special numerical calculations of the element asymptotics as well as of the T-matrix, polarizability, etc.

UR - http://www.scopus.com/inward/record.url?scp=85045975709&partnerID=8YFLogxK

U2 - 10.1109/DD.2017.8168005

DO - 10.1109/DD.2017.8168005

M3 - Conference contribution

AN - SCOPUS:85045975709

VL - 2017-December

SP - 104

EP - 109

BT - Proceedings of the International Conference Days on Diffraction 2017, DD 2017

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 International Conference Days on Diffraction, DD 2017

Y2 - 18 June 2017 through 22 June 2017

ER -

ID: 34865382