A new approach to the inverse problem for current mapping in thin-film superconductors

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dc.contributor.author Zuber, JW en
dc.contributor.author Wells, Frederick en
dc.contributor.author Fedoseev, SA en
dc.contributor.author Johansen, TH en
dc.contributor.author Rosenfeld, AB en
dc.contributor.author Pan, AV en
dc.date.accessioned 2018-10-26T02:18:41Z en
dc.date.issued 2018-03-28 en
dc.identifier.citation Journal of Applied Physics 123(12) Article number 123906 28 Mar 2018 en
dc.identifier.issn 1089-7550 en
dc.identifier.uri http://hdl.handle.net/2292/43512 en
dc.description.abstract A novel mathematical approach has been developed to complete the inversion of the Biot-Savart law in one- and two-dimensional cases from measurements of the perpendicular component of the magnetic field using the well-developed Magneto-Optical Imaging technique. Our approach, especially in the 2D case, is provided in great detail to allow a straightforward implementation as opposed to those found in the literature. Our new approach also refines our previous results for the 1D case [Johansen et al., Phys. Rev. B 54, 16264 (1996)], and streamlines the method developed by Jooss et al. [Physica C 299, 215 (1998)] deemed as the most accurate if compared to that of Roth et al. [J. Appl. Phys. 65, 361 (1989)]. We also verify and streamline the iterative technique, which was developed following Laviano et al. [Supercond. Sci. Technol. 16, 71 (2002)] to account for in-plane magnetic fields caused by the bending of the applied magnetic field due to the demagnetising effect. After testing on magneto-optical images of a high quality YBa2Cu3O7 superconducting thin film, we show that the procedure employed is effective. en
dc.publisher AIP Publishing en
dc.relation.ispartofseries Journal of Applied Physics en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. en
dc.rights This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Journal of Applied Physics 123(12):123906-123906 28 Mar 2018 and may be found at http://dx.doi.org/10.1063/1.5012588 en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.rights.uri https://publishing.aip.org/resources/researchers/rights-and-permissions/sharing-content-online/ en
dc.title A new approach to the inverse problem for current mapping in thin-film superconductors en
dc.type Journal Article en
dc.identifier.doi 10.1063/1.5012588 en
pubs.issue 12 en
pubs.volume 123 en
dc.rights.holder Copyright: The authors en
pubs.author-url https://aip.scitation.org/doi/full/10.1063/1.5012588 en
dc.rights.accessrights http://purl.org/eprint/accessRights/OpenAccess en
pubs.subtype Article en
pubs.elements-id 734910 en
pubs.org-id Science en
pubs.org-id Physics en
pubs.arxiv-id 1807.06750 en
pubs.number 123906 en
pubs.record-created-at-source-date 2018-04-03 en
pubs.online-publication-date 2018-03-28 en

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