Authors: D.T.K. Kwok, Z.M. Zeng and P.K. Chu
Affilation: City University of Hong Kong, China
Pages: 505 - 508
Keywords: Poisson's equation, center axis, numerical iteration, cylindrical co-ordinate, non-symmetry field
A novel and practical method is developed to resolve the three dimensional Poisson’s and Laplace’s equation at the center axis in cylindrical coordinates. The method employs the rectangular xyz co-ordinates to solve the potential f along the center axis. The new approach is tested by comparing the potential distribution of a biased cylindrical duct simulated by two dimensional l'Hospital rule. The capability of the method to model non-symmetry field structure is verified by simulating the potential distribution inside the cylindrical duct with only a three quarter of the wall biased with a positive voltage.