Paper
25 September 1997 Improved 3D boundary charge method for high-accuracy electric field calculation
Hidekazu Murata, Toshimi Ohye, Hiroshi Shimoyama
Author Affiliations +
Abstract
In this paper we propose an improved 3-D boundary charge method for high accuracy calculation of the electric field distribution, where differentiation of the coefficient matrix element (equals the potential coefficient) with respect to each coordinate component is needed. The differentiated potential coefficient, which is called the field coefficient, is expressed as a double integral. We have found that the first integral of the field coefficient can be done analytically in much the same ways as that of the potential coefficient, thereby greatly improving the computation time of the electric field distribution without any loss of accuracy. As a practical application of the method to field analysis, we have treated the misaligned diode system of a field emission gun.
© (1997) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Hidekazu Murata, Toshimi Ohye, and Hiroshi Shimoyama "Improved 3D boundary charge method for high-accuracy electric field calculation", Proc. SPIE 3155, Charged Particle Optics III, (25 September 1997); https://doi.org/10.1117/12.279392
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Cited by 14 scholarly publications.
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KEYWORDS
Spherical lenses

Diodes

3D modeling

Numerical integration

Electrodes

Systems modeling

Charged particle optics

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