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高溫超導量子干涉器磁測量中的電磁反演

Magnetism-current inverse in high-temperature superconducting quantum interference device magnetic field measurement

  • 摘要: 基于Biot-Savart定律和空間濾波技術,采用二維傅里葉變換,研究磁場到電流的反演.對高溫超導量子干涉器(SQUID)測得的載流導線周圍的磁場分布以及圓孔缺陷周圍的渦流場激發的磁信號進行反演處理,并對所得的結果,特別是在傅里葉空間對截止頻率的選擇進行了初步探討.結果表明,較高的截止頻率值能有效提高反演結果的空間分辨率,但增加了噪聲信號對反演結果的影響;相對較低的截止頻率值能更明顯地去除噪聲信號,同時導致反演結果的失真,降低了反演結果的空間分辨率.利用缺陷周圍的磁場數據反演出的電流分布,能夠準確反映出被測樣品中缺陷的位置、形狀等基本情況.

     

    Abstract: Based on the Biot-Savart law, spatial filtering technology and two-dimensional Fourier transform, the inverse problem of magnetic field to current distribution was researched. The inverse method was applied to the real magnetic field data measured by a high-temperature superconducting quantum interference device (SQUID), and the magnetic field was produced by a lead with current and vortex around a columniform crack. The inverse results, especially how to select the filtering frequency in a Fourier space, were discussed. The results show that a larger cutoff frequency can improve the spatial resolution of the current image, but increase the noise signal. If a smaller cutoff frequency is selected, much of the noise can be eliminated, but the resulted inverse signal will be anamorphic, and the spatial resolution is decreased. Using the magnetic field data excited by vortex around a column form defect, the inversed current result can give the information about the location and the form of the defect exactly.

     

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