Improved 3D boundary charge method

Hidekazu Murata; Toshimi Ohye; Hiroshi Shimoyama

doi:10.1117/12.255502

25 October 1996 Improved 3D boundary charge method

Hidekazu Murata, Toshimi Ohye, Hiroshi Shimoyama

Proceedings Volume 2858, Charged-Particle Optics II; (1996) https://doi.org/10.1117/12.255502
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

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.

Citation Download Citation

Hidekazu Murata, Toshimi Ohye, and Hiroshi Shimoyama "Improved 3D boundary charge method", Proc. SPIE 2858, Charged-Particle Optics II, (25 October 1996); https://doi.org/10.1117/12.255502

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available