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Journal of Siberian Federal University. Mathematics & Physics, 2009, Volume 2, Issue 4, Pages 410–425
(Mi jsfu89)
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This article is cited in 1 scientific paper (total in 1 paper)
Characteristic Multipoles of Ellipse and a Solution of the Electrostatic Problem for a Conductive Ellipse in Applied Electric Fields
Vladimir P. Kazantsev, Evgeny N. Shlyahtich Institute of Engineering Physics and Radioelectronics, Siberian Federal University, Krasnoyarsk, Russia
Abstract:
A method of the general problem of electrostatics solution for conductive ellipse in applied electric fields is obtained in complex form in terms of “characteristic multipole”. Both a general scheme of the solution and particular examples are considered. Complex Green functions for the outside and the inside of an ellipse are constructed. The terms “imaginary charge” and “ellipse of convergence” are established.
Keywords:
complex Green function, characteristic multipole, conductive ellipse, ellipse of convergence, imaginary charge, electrostatic.
Received: 08.09.2009 Received in revised form: 25.10.2009 Accepted: 10.11.2009
Citation:
Vladimir P. Kazantsev, Evgeny N. Shlyahtich, “Characteristic Multipoles of Ellipse and a Solution of the Electrostatic Problem for a Conductive Ellipse in Applied Electric Fields”, J. Sib. Fed. Univ. Math. Phys., 2:4 (2009), 410–425
Linking options:
https://www.mathnet.ru/eng/jsfu89 https://www.mathnet.ru/eng/jsfu/v2/i4/p410
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