磁偶极子定位与梯度计:获得唯一解

遥感信息 Pub Date : 1997-08-03 DOI:10.1109/IGARSS.1997.608906

W. Wynn

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引用次数: 24

摘要

描述静态磁偶极子源在一点处的场梯度张量的五个独立方程可以反向得到源的方位矢量和源力矩矢量除以范围的四次方。方程有四个解，其中两个解以非平凡的方式相关，另外两个解通过场点反射得到。在梯度张量的主轴坐标系中，四个解的对称性可以用来在任意坐标系中直接表示解的相互关系，而不需要进行反演。利用这一关系构造了明确的证明，如果磁场矢量或梯度张量的变化率以及源和场点的相对运动已知，则可以得到磁矩矢量和源与场点之间相对位置的唯一解。

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Magnetic dipole localization with a gradiometer: obtaining unique solutions

The five independent equations describing the field gradient tensor at a point for a static magnetic dipole source can be inverted to give the bearing vector to the source and the source moment vector divided by the fourth power of the range. The equations have four solutions, two of which are related in a non-trivial way, and two more that are obtained by reflections through the field point. The symmetry of the four solutions in the principal-axis frame of the gradient tensor can be used to express the solutions directly in terms of one another in an arbitrary frame without executing the inversion. This relationship has been exploited to construct explicit proofs that a unique solution for magnetic moment vector and relative position between source and field point can be obtained if either the magnetic field vector, or the rate of change of the gradient tensor and the relative motion of source and field point is known.

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来源期刊

遥感信息

自引率

0.00%

发文量

3984

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