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wslyr123

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[求助] 磁极化率张量求解 已有1人参与

磁场强度矢量与磁极化二元相乘计算模型 ,求解磁极化率张量。有文献资料。
A tomographic metal detection and characterisation system has been designed and built with the
intention of recovering detailed information about magnetic and/or conductive objects within the
detector space. This information is gathered as a result of a “walk-through” scan of a candidate in the
same manner as would be expected at a typical security metal detector archway. Following the
passage of the candidate, the system uses measurements from an array of coils to calculate the
polarisability tensor, which is considered to describe the low frequency electromagnetic characteristic
of a small metallic object when it interacts with a magnetic field. The tensor is known to vary according
to the excitation frequency of the applied magnetic field, however in this system only a single
frequency measurement is considered. In addition to the magnetic polarisability dyadic tensor the
position of the perturbation is also determined as a product of the inversion algorithm.
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rlafite

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【答案】应助回帖

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wslyr123: 金币+100 2024-07-12 07:31:51
张量磁化率:  M_{i} = \chi_{ij} H_{j}
其中,下标 i 和 j 指的是向量沿著某个坐标轴的分量(例如,直角坐标系的x-轴、y-轴和 z-轴)。
\chi_{ij} 是个二阶张量,因次为 (3,3) ,描述因为外磁场施加于 j 方向,而产生的磁化强度在 i 方向的分量。


微分磁化率: \chi_{ij} = \frac_{\part M_{i}}{\part H_{j}}
\chi_{ij} 是由𝑀 的分量对于 𝐻 的分量的偏导数

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wslyr123

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2楼: Originally posted by rlafite at 2024-07-10 00:15:34
张量磁化率:  M_{i} = \chi_{ij} H_{j}
其中,下标 i 和 j 指的是向量沿著某个坐标轴的分量(例如,直角坐标系的x-轴、y-轴和 z-轴)。
\chi_{ij} 是个二阶张量,因次为 (3,3) ,描述因为外磁场施加于 j 方向,而 ...

老师您好,非常感谢您的回复,我能不能把文献发给您,您详细看看?必当重谢
3楼2024-07-10 11:30:57
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