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Proceedings Paper

Improved 3D boundary charge method
Author(s): Hidekazu Murata; Toshimi Ohye; Hiroshi Shimoyama
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Paper Abstract

In calculating potential field for a system consisting of several conductors by means of the boundary (or surface) charge method (BCM or SCM), every conductor surface is divided into n small surface elements, and the surface (or boundary) charge density on each surface element is obtained by solving a set of n-dimensional simultaneous linear equations, where the coefficient matrix element is expressed as a double integral. In the 3D BCM, the coefficient matrix element is usually obtained by direct double numerical integration, which is a serious obstacle to a practical use of the method because of extremely long computation time. We have been developing an improved 3D BCM, where any given conductor geometry can faithfully be modeled by a suitable combination of parts and/or all of several basic surfaces such as plane surface, cylindrical surface, conical surface, discoidal surface, spherical surface and torus surface. We have found that the first integration in the double integral of the coefficient matrix element can be done analytically for the above-mentioned basic surfaces, thereby greatly improving the computation time without any loss of accuracy.

Paper Details

Date Published: 25 October 1996
PDF: 12 pages
Proc. SPIE 2858, Charged-Particle Optics II, (25 October 1996); doi: 10.1117/12.255502
Show Author Affiliations
Hidekazu Murata, Meijo Univ. (Japan)
Toshimi Ohye, Meijo Univ. (Japan)
Hiroshi Shimoyama, Meijo Univ. (Japan)

Published in SPIE Proceedings Vol. 2858:
Charged-Particle Optics II
Eric Munro, Editor(s)

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