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Analytical expressions of potential and electric field generated by a triangular surface charge with a high‐order charge density distribution
Author(s) -
Tatematsu Akiyoshi,
Hamada Shoji,
Takuma Tadasu
Publication year - 2002
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.1155
Subject(s) - charge density , electric field , charge (physics) , surface (topology) , field (mathematics) , order (exchange) , expression (computer science) , surface charge , electric potential , distribution (mathematics) , physics , electric charge , finite element method , mathematical analysis , mathematics , geometry , quantum mechanics , computer science , pure mathematics , voltage , finance , economics , programming language , thermodynamics
We have derived analytical expressions of the potential and electric field generated by a triangular surface charge that has a second‐ or third‐order charge density distribution on each element. These expressions are applicable to the surface charge method (SCM) for calculating electric field in three‐dimensional arrangements. In general, the higher‐order charge density expression improves the accuracy of the SCM. Moreover, the SCM with analytical expressions needs no troublesome treatment of singular points inevitably involved in the SCM using numerical integration. We have also confirmed the validity of these derived analytical expressions by comparing the calculated results with those by the numerical method. © 2002 Wiley Periodicals, Inc. Electr Eng Jpn, 139(3): 9–17, 2002; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.1155