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Effective 3-dimensional electric field calculation by surface charge simulation method

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2 Author(s)
Shuji Sato ; Swiss Federal Institute of Technology Zurich, High-Voltage Engineering Group, Zurich, Switzerland ; Walter S. Zaengl

Details concerning fast and accurate electrostatic field calculation techniques based on the 3-dimensional surface charge simulation method by means of Fourier-type charges are presented. The techniques range over (a) the direct potential and field coefficient formulas, (b) a computation of Legendre function of the second kind with half integer degree¿¿toroidal function Qm¿¿¿¿(x), (c) a high-speed integral and (d) an introduction of the associated toroidal function Sm¿¿¿¿(x). As an example for application, a tilted hemispherically tipped cylindrical rod electrode with a spherical dielectric is analysed and the results are demonstrated.

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IEE Proceedings A - Physical Science, Measurement and Instrumentation, Management and Education - Reviews  (Volume:133 ,  Issue: 2 )