1996
DOI: 10.1103/physrevb.54.6742
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Determination of two-dimensional current patterns in flat superconductors from magneto-optical measurements: An efficient inversion scheme

Abstract: An efficient inversion scheme is given to derive the local currents in a superconductor from the z component of the magnetic field measured above its surface, as is done using magneto-optical indicators. The method works for samples of arbitrary thickness provided that the current vector has only x and y components. Data storage is much lower and convergence much faster than in previously reported schemes. The influence of the distance of observation and of the sample aspect ratio on the measured field H z is … Show more

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Cited by 95 publications
(64 citation statements)
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“…The function f is determined in a separate calibration experiment, while ␤ can be found by relating the intensity with the field at a certain location in the image where the field is known, e.g., far away from the sample, where the local magnetic field is equal to the applied external field. 36 Images were taken using a liquid-nitrogen-cooled ST-138 CCD Camera ͑Princeton Instruments͒.…”
Section: Experiments and Sample Preparationmentioning
confidence: 99%
“…The function f is determined in a separate calibration experiment, while ␤ can be found by relating the intensity with the field at a certain location in the image where the field is known, e.g., far away from the sample, where the local magnetic field is equal to the applied external field. 36 Images were taken using a liquid-nitrogen-cooled ST-138 CCD Camera ͑Princeton Instruments͒.…”
Section: Experiments and Sample Preparationmentioning
confidence: 99%
“…(Here I shall not list numerous recent work on mesoscopically small superconductors with vortices computed from GinzburgLandau theory.) An elegant and fast method that computes the currents in films from the magnetic field pattern measured at the film surface with high resolution, without having to store or explicitly invert a large matrix, is described by Wijngaarden et al;11,12 this method has all advantages of the direct matrix inversion method and avoids the inversion by Fourier transform, that would require knowledge of the magnetic field pattern also outside the film area. The static Bean model for thin films of any shape is computed by Prigozhin using a variational method.…”
Section: Introductionmentioning
confidence: 99%
“…2-4. Most experimental studies of flux penetration, see e. g. Refs. [5][6][7][8], are focused on the behavior of samples placed in an external magnetic field, as well as on the remanent state after the field is switched-off. The results appear in a good agreement with experiment.…”
Section: Introductionmentioning
confidence: 99%