A wide class of electromagnetic problems can be expressed as a system of dual integral equations. These kinds of integral equations occur in boundary value problems wherein there is an integral equation for a certain region and another for the rest of the region. In this paper it is shown that the integral equation for the charge density on a hollow metallic cylinder of finite length enclosed in another cylinder of infinite length can be put into a standard form of dual integral equations, which can be transformed into a numerically well-posed system of linear equation by means of a Neumann series. A general method to compute the coefficients of the linear system is discussed and some plots of the charge density distributions, and of the capacitance as a function of the ratio h/r(1) (half-length/radius of the cylinder) are given. The range of validity of the classical asymptotic expansion is finally discussed.
Capacitance of a cylindrical system / Miano, Giovanni; Verolino, Luigi; Visone, C.. - In: IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B, GENERAL PHYSICS, RELATIVITY, ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS. - ISSN 1594-9982. - STAMPA. - 111:(1996), pp. 769-781. [10.1007/BF02743408]
Capacitance of a cylindrical system
MIANO, GIOVANNI;VEROLINO, LUIGI;C. Visone
1996
Abstract
A wide class of electromagnetic problems can be expressed as a system of dual integral equations. These kinds of integral equations occur in boundary value problems wherein there is an integral equation for a certain region and another for the rest of the region. In this paper it is shown that the integral equation for the charge density on a hollow metallic cylinder of finite length enclosed in another cylinder of infinite length can be put into a standard form of dual integral equations, which can be transformed into a numerically well-posed system of linear equation by means of a Neumann series. A general method to compute the coefficients of the linear system is discussed and some plots of the charge density distributions, and of the capacitance as a function of the ratio h/r(1) (half-length/radius of the cylinder) are given. The range of validity of the classical asymptotic expansion is finally discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.