Journal of Siberian Federal University. Mathematics & Physics / Characteristic Multipoles of Ellipse and a Solution of the Electrostatic Problem for a Conductive Ellipse in Applied Electric Fields

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2009 2 (4)
Authors
Kazantsev, Vladimir P.; Shlyahtich, Evgeny N.
Contact information
Kazantsev, Vladimir P. :; Shlyahtich, Evgeny N. : e-mail:
Keywords
complex Green function; characteristic multipole; conductive ellipse; ellipse of convergence; imaginary charge; electrostatic
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.

Pages
410-425
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/1512