摘要
电磁场逆向问题是由导体外获取的磁信号来重建导体内部电源,通常采用麦克斯韦逆向方程进行求解.基于该方程存在非唯一解,提出了一种基于点源矢量模型的数值解析方法.首先建立点源矢量的数学模型,其次构造磁信号强度矢量一阶梯度正交矩阵,并应用欧拉线性关系获取点源矢量位置;然后在准静态条件下引入格林函数和波平面,并施以傅里叶逆变换来获取傅氏空间方程解.长方体磁源仿真结果表明本解析方法的准确度和可靠性.
Aiming at the existence of a non-unique solution for inverse solution equation,one analytical method for inverse solution equation based on point source vector model is proposed in this paper.Firstly,a mathematical model of point source vector is established.Next,a first-order gradient orthogonal matrix of magnetic induction intensity vector signal is constructed,the eigenvalues and the coordinates of the point source vector are established by using the Euler linear relation equation,and the position of point source vector is obtained.Then,the Green's function and wave plane are introduced to perform double Fourier transform,and the inverse Fourier transform is applied to obtain the solution of Fourier space equation.Finally,the accuracy and reliability of the analytical method are verified by a simulation experiment of inverse solution equation with a cuboid magnetic source.
作者
艾海明
MA Primin
张清利
AI Hai-ming;MA Primin;ZHANG Qing-li(School of Science and Technology,Beijing Open University,Beijing 100081,China;Beijing Milestone Science and Technology Development Company,Beijing 101500,China)
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2020年第9期87-94,共8页
Journal of Southwest University(Natural Science Edition)
基金
国家科技支撑计划项目(2015BAI01B00)
国际科技合作项目(2008DFR30570)
北京市教委科技项目(KM201951160001).
关键词
逆向求解方程
数学模型
点源矢量
傅里叶积分变换
inverse solution equation
mathematical model
point source vector
Fourier integral transform
