介质存在时利用镜像法求解电势的讨论

镜像法是解析求解静电定解问题时一种比较简单的方法,即在所求解的空间之外引入镜像电荷,并使得由镜像电荷与源电荷激发的场的叠加形成的总场满足边界条件及边值关系即可.当将这种方法应用于介质存在的情形时,本文发现可以选择两种不同的镜像电荷,最终求得空间中同样的电势解.这也符合静电问题的唯一性定理,因为无论哪种镜像电荷,均没有改...

Discussion on image method within dielectic

The method of images is a mathematical tool to solve the electrostatic differential problem,i.e.,introducing image charge outside the solved space,and making the total field formed by the image charge and the source charge satisfy the boundary.When this method is applied to the presence of adielectic,it will be found that the choice of image charge is not unique.This also accords with the uniqueness theorem of the electrostatic problem,because no matter what kind of image chargeis,the total field is the same.From the total field,the amount of bound charge can be obtained.At this time,it will be further found that the reisonly one kind of image charge equal to the amount of bound charge.