磁性物体探测的线性求解方法

A Linear Method for Detecting a Magnetic Object

利用磁偶极子磁场的逆变换公式，推导出通过物体磁场及其梯度表示的用于解决磁性物体探测等问题中的线性方程组，解决了以往在求解该问题过程中缺乏清晰的理论模型及计算误差较大等问题．在计算机上所作的模拟计算表明该方法是成功的．对该方法的实施硬件及探测器分辨率与探测误差等关系作了一定的讨论．

With the formula for inverse transformation of the field of a magnetic dipole, the linear equations represented by the magnetic field and field gradient for detecting and locating a magnetic object have been derived. The shortcomings of an inaccurate theoretical model and large calculating errors in solving such problems are overcome. Linear methods for solving linear equations are given. Computer simulation shows that the procedure proposed is correct and successful. The relationship between the locating error and the resolution of the detecting system as well as the hardwares for the implementation are preliminarily discussed.