几种特殊形状柱面导体边界镜像法的静电场问题分析  

ANALYSIS OF ELECTROSTATIC FIELD PROBLEMS BY IMAGE METHOD OF CYLINDRICAL CONDUCTORS OF SEVERAL SPECIAL SHAPES

作　　者：徐振然 邓博韦 曹斌照 XU Zhenran;DENG Bowei;CAO Binzhao(School of Physics and Optoelectronic Engineering,Taiyuan University of Technology,Taiyuan,Shanxi 030024)

机构地区：[1]太原理工大学物理与光电工程学院,山西太原030024

出　　处：《物理与工程》2025年第1期35-41,45,共8页Physics and Engineering

基　　金：山西省高等学校教学改革创新项目(J20240208)。

摘　　要：导体柱面在实际生活和工程实践中并不少见,无限长直导线就是最典型的例子,因此对其相关问题如何处理的研究十分必要。目前对导体圆柱面镜像法的研究已经有了准确的结果,本文提出了不一样的求解思路,更多地借助了几何特征,而且不同于常规的利用场强和电势的微分关系求解电场分布,采取矢量叠加的方法,将电场的大小和方向分开研究。此外,本文将柱面镜像法适用的场景进行了拓展,将上述思路运用到几种特殊形状柱面导体的边值问题,拓宽了柱面镜像法的适用范围。Conductors bounded by cylinders are not uncommon in our life and engineering practice,and infinite long straight wire is the most typical example,so it is necessary to study how to deal with problems related.At present,research on image method of conductors with cylindrical surface has been accurately obtained.However,this paper proposes a different solution,depending more on the geometric features of surfaces of conductors.Different from the conventional solution using the relationship between electric field and electric potential to solve distribution of electric field,this paper adopts the method of vector superposition,separating the size and direction of the electric field.In addition,this paper expands the scenarios applicable to the cylindrical image method,and applies the above ideas to the problems of boundary value of several special-shaped cylindrical conductors,which broadens the scope of application of cylindrical image method.

关 键 词：镜像法 导体柱面 静电场定解问题 矢量叠加 

分 类 号：O441.1[理学—电磁学]