الفهرس | Only 14 pages are availabe for public view |
Abstract The numerical methods of calculating potentials and fields are often difficult to apply in the complicated 3-dimensional geometries and need a great convenient and flexible means of tackling these and similar problems. In this thesis the Monte Cairo method is applied to highly diverging field problems. The computational effort-expressed in this work by the number of steps in random walks-is related to the relative space potential, the pre-specified walks-is termination distance and the degree of field nonuniformity in the gap. To obtain potential and field distributions in a given system, equations for these quantities are developed at neighbouring space points using Green`s function. The accuracy of the algorithm is markedly enhanced by seeking the optimal spacing of those neighbouring points. While the imlementation and optimization study is mainly done on coaxial system the applicability is extended to other non-analytically solvable systems, namely, a rod-plane gap.The present technique is satisfactorily compared with the charge simulation method in a case study on compared with the charge simulation method in a case study on hemispherically capped rodplane gap. |