摘要
以求有限长圆柱面导体内部的电势分布为例,在电各向异性柱面坐标系中应用分离变量法求解各向异性电介质三维拉普拉斯方程的定解问题。通解用第一类带参数的贝塞尔函数表示。对通解进行讨论,发现确定待定函数的具体形式是得到确定解的关键。所得通解在做适当的处理后,同样适用于描述特殊的有限长椭圆柱面导体内部电势分布和描述填充了各向同性电介质的有限长圆柱面导体内部电势分布。
Separate variable method is used to set solution of three-dimensional Laplace equation in the anisotropic dielectric cylindrical system by the example of the potential distribution in a finite length cylindrical conductor.The general solution is represented by the first class of Bessel functions with parameters.The general solution is discussed and it is found that the key to obtain the definite solution is to determine the specific form of the undetermined function.The general solution can be used to describe the potential distribution inside a finite elliptic cylindrical conductor and a finite length cylindrical conductor filled with isotropic dielectric.
作者
李文略
LI Wen-lüe(College of Basic Education,Lingnan Normal University,Zhanjiang 524037,China)
出处
《郑州师范教育》
2019年第6期10-13,共4页
Journal of Zhengzhou Normal Education
