舰船水下静态电场深度换算的格林函数法

为从有限深度、有限范围内的舰船水下静态电场数据获知实际舰船更大深度上的场分布特征,在对深海环境中舰船静态电场满足的拉普拉斯方程进行求解的基础上,提出静态电场深度换算的格林函数法,推导出了换算公式的边界积分表达式,给出了实际应用中换算公式的近似计算方法。以舰船静态电场的基本模拟体——单个水平电偶极子的场为例,采用数值仿真的方法对换算公式进行了验证,并对近似计算方法进行了讨论。研究结果表明:该方法可直接通过对测量平面上离散场量进行二重求和来实现静态电场的各类深度换算;与文献中已有的换算方法相比,其换算过程更为快捷。

Green function method for extrapolating of ship's underwater static electric field

In order to learn the distribution characteristics of the underwater static electric field of an actual ship from the data measured at the limited depth and range,a Green function method for extrapolating a ship′s static electric field was put forward based on the Laplace equation used to satisfy the static electric field in a deep-sea environment.Then the boundary integral expression of the extrapolation formula was derived to acquire the approximate calculation method.The extrapolation method was validated by the simulation of the electric field of a single horizontal electric dipole which is a basic simulating body for the static electric field of a ship.Finally the approximate calculation me-thod was discussed.The research results show that the Green function method can be used to implement the different types of extrapolation by the double summation of discrete field distribution on the measurement plane,and the extrapolation process will be more effective and convenient than those methods mentioned in some references.