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Image and sample geometry effects in SQUID magnetometers

 

作者: Andrzej Zie&hook;ba,  

 

期刊: Review of Scientific Instruments  (AIP Available online 1993)
卷期: Volume 64, issue 12  

页码: 3357-3375

 

ISSN:0034-6748

 

年代: 1993

 

DOI:10.1063/1.1144306

 

出版商: AIP

 

数据来源: AIP

 

摘要:

This review concerns the interpretation of the signal provided by SQUID magnetometers designed for measurements of magnetization and magnetic susceptibility. ‘‘Image effect’’ refers to the influence of superconducting elements in the vicinity of the sample and detection coil. Several exact and approximate methods are presented for calculation of how the device sensitivityG(r) varies with positionrof a unit dipole sample in the presence of a superconducting shielding tube. In particular, the relative decrease ofG(r) is approximately given by the third power of the ratio of the detection coil and shield diameters, and the effect of the shield’s finite length is found to be negligible in practical situations. A survey of complex detection coils (Helmholtz, saddle‐type, gradiometer, and second derivative coil) includes calculation of the optimum spacing of the Helmholtz pair in the presence of a superconducting cylinder. The image effects due to the properties of the SQUID circuit and the field‐dependent effects in high‐field SQUID magnetometers are also discussed. Change in the instrument calibration due to sample size, shape, and location is considered for arbitrary samples as well as for specific cases of small, medium, and very long samples. A spherical harmonic expansion ofG(r) makes it possible to derive simple formulas describing sample geometry effects for medium‐sized samples with regular geometries (thin rod, cylinder, and rectangular parallelepiped). The results are compared to published experimental data.

 

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