CERN Accelerating science

Preprint
Report number	JINR-P11-2004-41 ; P11-2004-41
Title	A Precision Method of Solving a Boundary Problem for Dielectrics-Conductors System
Author(s)	Shafranov, M D ; Babkin, V A
Affiliation	(Laboratory of Particle Physics, Dubna)
Publication	2004
Imprint	1 Apr 2004
Number of pages	16
Subject category	Mathematical Physics and Mathematics
Abstract	A new precision method of analytical field calculation is presented. The method is suitable for solution of the problem of dielectrics in the field of conductors. This method consists in the linear superposition of the fields due to simple charge distributions. Linear or point charges are to be determined from the boundary values. All singularities are located inside the electrodes and inside or outside the dielectrics. The values of charges are determined by the solution of the system of linear equations. The advantages of the method are its accuracy, simplicity and availability. The accuracy of the method is higher than 0.004 \%.
Submitted by	[email protected]