倾斜海床下偶极子产生标量电位的表达式推导

Derivation of an Expression of Electric Scalar Potential Produced by Electric Dipole Under Inclined Seabed

为研究倾斜海床条件下,舰船水下腐蚀相关静态电场的场分布问题,针对空气—海水—倾斜海床三层模型,采用水平直流电偶极子对场源进行模拟,利用静电场的镜像法,线性叠加场源和各镜像源在场点产生的标量电位,推导出了海水中的水平直流电偶极子在海水、空气及海床中产生的标量电位分布的解析表达式,并证明了所得表达式是满足边界条件的。研究结果为进一步研究舰船水下腐蚀相关静态电场的场分布问题奠定了基础,同时为舰船目标的探测提供了新的思路。

In order to explore the field distribution of the underwater corrosion related static electric field produced by ships under the condition of inclined seabed.For the three layer model of air,seawater and inclined seabed,a horizontal direct-current dipole is adopted to simulate the field source.By using the mirror image theory of static electric field,and by a linear superposition of electric scalar potential generated by the presence of field source and each mirror source,an analytical expression of electric scalar potential produced by a horizontal direct-current dipole located in seawater are derived respectively in the space of seawater,air and seabed,and the resulting expression is proved to satisfy the boundary conditions.The research results lay a foundation for further researching on the field distribution of underwater corrosion related static electric field produced by ships,and provide a new idea for the detection of ship targets.