Electric field density in the region with circular multiply connected border and equal lengths of bounding arcs
DOI:
https://doi.org/10.3103/S0735272709020022Abstract
In the present paper the problem of determining electric field density in outer and inner parts of the region, bounded by the circular multiply connected structure with equal arcs’ lengths and equal spacing between them, is investigated. Expressions for electric field density in case of arbitrary order of connectivity n are obtained. The structures of fields are calculated for the given values of n.
References
Yu. F. Zin’kovskii, Yu. K. Sidoruk, and A. V. Goloshchapov, “The Problem of Conjugation in Calculations of Electric Field Strength and Potential of a Ring-Shaped Multiply Connected Structure,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 50(5), 76 (2007) [Radioelectron. Commun. Syst. 50(5), 284 (2007)].
E. Yanke, F. Emde, and F. Lesh, Special Functions (Formulas, Graphs, Tables) (Nauka, Moscow, 1968) [in Russian].
I. S. Gradstein and I. M. Ryzhik, Tables of Integrals, Sums, Series and Products (Nauka, Moscow, 1971) [in Russian].
M. A. Lavrent’ev and B. V. Shabat, Methods of Complex Variable Functions Theory (Lan’, St. Petersburg, 2002) [in Russian].
N. I. Muskhelishvili, Singular Integral Equations: Boundary Problems of the Function Theory and Some of Their Applications to Mathematical Physics (Nauka, Мoscow, 1968) [in Russian].
F. D. Gakhov, Boundary Problems (Nauka, Мoscow, 1977) [in Russian].
N. P. Vekua, Systems of Singular Integral Equations and Some Boundary Problems (Nauka, Мoscow, 1970) [in Russian].
L. I. Sedov, Flat Problems of Hydro- and Aerodynamics (Nauka, Мoscow, 1980) [in Russian].
