Application Of Conformal Mapping About The Boundary Value Problem Of Electromagnetism Fidld

The computational methods of electromagnetism field boundary value problem have a few,thereinto,the conformal mapping method is both in common use.The main work in the thesis is making some basal researches and study to conformal mapping method.Adopting analytic function transform W=f(z),the field area with complicated boundary shape in z plane can transform into field area with simple boundary shape in another complex plane.Thus the boundary value problem defined in new complex plane get results easily.The boundary that the new field area is imposed the boundary condition of formerly field area and get the new potential function afterward.Then,using analytic function transform,the independent variable belonged to new potential functionφ(u,v)can transform back to former independent variable.This potential functionφ[u(x,y),v(x,_y)]is the solution of the former potential field.This thesis introduced theoretic approaches dealt with the boundary value problem of electromagnetism field,mainly about electrostatic field,with the methods of Conformal Mapping.In addition,this thesis gained several results adopting Conformal Mapping method in special boundary conditions,have been drew equipotent line and electric field line of two dimensions.This paper is arranged as following:1.the conformal mapping method,which include its applied process and Schwarz-Christoffel transformation.2.The choice problem of the transformation function in conformal transformation method.3.Diredt method and conformal transformation method for problem of angular space conductor electrostatics.4.(1)Apply these theories in solved typical models:description of static -electricity field in angular space of conductor electrostatics(2)The uniform rep resentation of the solution of equipotential surfaces of two parallel charged cylinder conductors with eccentric and separated axes has obtained.Bymeans of combination of conformalmapping(3)Potential distribution of charged conductor with surface of hyperboloid of one sheet...