{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T10:37:15Z","timestamp":1775039835225,"version":"3.50.1"},"reference-count":46,"publisher":"MDPI AG","issue":"23","license":[{"start":{"date-parts":[[2022,12,5]],"date-time":"2022-12-05T00:00:00Z","timestamp":1670198400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Russian Scientific Foundation","award":["22-22-00709"],"award-info":[{"award-number":["22-22-00709"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>A description of the method of magnetoimpedance tomography is presented. This method is based on the analysis of the frequency dependences of the impedance obtained in magnetic fields of various strengths. It allows one to determine the distribution of electrical and magnetic properties over the cross-section of the conductor, as well as their dependence on the magnetic field. The article proposes a specific approach to the implementation of the magnetoimpedance tomography method based on computer modeling by the finite element method. The results of this method are presented for composite Cu98Be2\/Fe20Co6Ni74 wires of the \u201chighly conductive core\u2013magnetically soft coating\u201d type and amorphous rapidly quenched Co66Fe4Nb2.5Si12.5B15 wires.<\/jats:p>","DOI":"10.3390\/s22239512","type":"journal-article","created":{"date-parts":[[2022,12,6]],"date-time":"2022-12-06T02:23:42Z","timestamp":1670293422000},"page":"9512","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["The Study of the Distribution of Electrical and Magnetic Properties over the Conductor Cross-Section Using Magnetoimpedance Tomography: Modeling and Experiment"],"prefix":"10.3390","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8486-1849","authenticated-orcid":false,"given":"Dmitry A.","family":"Bukreev","sequence":"first","affiliation":[{"name":"Department of Physics, Pedagogical Institute, Irkutsk State University, 664003 Irkutsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0074-0335","authenticated-orcid":false,"given":"Michael S.","family":"Derevyanko","sequence":"additional","affiliation":[{"name":"Department of Physics, Pedagogical Institute, Irkutsk State University, 664003 Irkutsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexey A.","family":"Moiseev","sequence":"additional","affiliation":[{"name":"Department of Physics, Pedagogical Institute, Irkutsk State University, 664003 Irkutsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrey V.","family":"Svalov","sequence":"additional","affiliation":[{"name":"Department of Magnetism and Magnetic Nanomaterials, Institute of Natural Sciences and Mathematics, Ural Federal University, 620002 Ekaterinburg, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander V.","family":"Semirov","sequence":"additional","affiliation":[{"name":"Department of Physics, Pedagogical Institute, Irkutsk State University, 664003 Irkutsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3652","DOI":"10.1063\/1.111170","article-title":"Giant Magnetic Field Dependent Impedance of Amorphous FeCoSiB Wire","volume":"64","author":"Beach","year":"1994","journal-title":"Appl. Phys. Lett."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1230","DOI":"10.1002\/tee.23186","article-title":"Sensitivity of Thin Film Magnetoimpedance Sensor in 0.3 T Surface Normal Magnetic Field","volume":"15","author":"Nakai","year":"2020","journal-title":"IEEJ Trans. Electr. Electron. Eng."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1134\/S0031918X21030029","article-title":"Influence of the Parameters of Permalloy-Based Multilayer Film Structures on the Sensitivity of Magnetic Impedance Effect","volume":"122","author":"Buznikov","year":"2021","journal-title":"Phys. Met. Metallogr."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1134\/S0031918X22080026","article-title":"The Magnetic Prehystory and Stress-Impedance Effect in Amorphous CoFeNbSiB Wires","volume":"123","author":"Bukreev","year":"2022","journal-title":"Phys. Met. Metallogr."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1033","DOI":"10.1134\/S0031918X20110071","article-title":"Modeling the Giant Magnetoimpedance Effect in Amorphous Microwires with Induced Magnetic Anisotropy","volume":"121","author":"Popov","year":"2020","journal-title":"Phys. Met. Metallogr."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"2753","DOI":"10.1063\/1.115587","article-title":"Magneto-impedance Effect in NiFe Plated Wire","volume":"68","author":"Beach","year":"1996","journal-title":"Appl. Phys. Lett."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"18311","DOI":"10.1007\/s10854-022-08686-9","article-title":"The Effect of Magnetic Field Orientation on the Magnetoimpedance of Electroplated NiFeCo\/Cu Wire","volume":"33","author":"Tandon","year":"2022","journal-title":"J. Mater. Sci. Mater. Electron."},{"key":"ref_8","first-page":"1","article-title":"Detection of P300 Brain Waves Using a MagnetoImpedance Sensor","volume":"7","author":"Wang","year":"2020","journal-title":"Int. J. Smart Sens. Intell. Syst."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Chen, J., Li, J., Li, Y., Chen, Y., and Xu, L. (2018). Design and Fabrication of a Miniaturized GMI Magnetic Sensor Based on Amorphous Wire by MEMS Technology. Sensors, 18.","DOI":"10.3390\/s18030732"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"173701","DOI":"10.1063\/1.4948286","article-title":"In-Flow Detection of Ultra-Small Magnetic Particles by an Integrated Giant Magnetic Impedance Sensor","volume":"108","author":"Fodil","year":"2016","journal-title":"Appl. Phys. Lett."},{"key":"ref_11","unstructured":"Landau, L.D., and Lifshitz, E.M. (1960). Electrodynamics of Continuous Media, Pergamon Press."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/0036-9748(81)90347-1","article-title":"Production of Pd-Cu-Si Amorphous Wires by Melt Spinning Method Using Rotating Water","volume":"15","author":"Masumoto","year":"1981","journal-title":"Scr. Metall."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"939","DOI":"10.1088\/0022-3727\/29\/4\/001","article-title":"A Soft Magnetic Wire for Sensor Applications","volume":"29","author":"Hernando","year":"1996","journal-title":"J. Phys. D Appl. Phys."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"242","DOI":"10.1016\/j.mseb.2006.04.028","article-title":"Unusual Grain Growth in Electrodeposited CoNiFe\/Cu Wires and Their Magnetoimpedance Properties","volume":"131","author":"Atalay","year":"2006","journal-title":"Mater. Sci. Eng. B"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1016\/j.jallcom.2004.09.024","article-title":"Giant Magnetoimpedance Effect in NiFe\/Cu Plated Wire with Various Plating Thicknesses","volume":"392","author":"Atalay","year":"2005","journal-title":"J. Alloys Compd."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1016\/S0304-8853(99)00204-8","article-title":"GMI Spectra of Amorphous Wires with Different Types of Magnetic Anisotropy in the Core and the Shell Regions","volume":"203","author":"Usov","year":"1999","journal-title":"J. Magn. Magn. Mater."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1016\/S0304-8853(99)00420-5","article-title":"Magnetic and Transport Eddy-Current Anomalies in Cylinders with Core-and-Shell Regions","volume":"202","author":"Chen","year":"1999","journal-title":"J. Magn. Magn. Mater."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1134\/S106378420902011X","article-title":"Effect of Torsional Stresses on the Magnetoimpedance of Amorphous Wires with Negative Magnetostriction","volume":"54","author":"Buznikov","year":"2009","journal-title":"Techn. Phys."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/S0304-8853(97)00033-4","article-title":"Theory of Giant Magneto-Impedance Effect in Composite Amorphous Wire","volume":"171","author":"Usov","year":"1997","journal-title":"J. Magn. Magn. Mater."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1088\/0022-3727\/33\/7\/304","article-title":"Electromagnetic Analysis of Layered Magnetic\/Conductor Structures","volume":"33","author":"Gromov","year":"2000","journal-title":"J. Phys. D Appl. Phys."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1134\/S0031918X11010200","article-title":"Giant Magnetic Impedance of Wires with a Thin Magnetic Coating","volume":"111","author":"Kurlyandskaya","year":"2011","journal-title":"Phys. Met. Metallogr."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"5438","DOI":"10.1063\/1.369968","article-title":"Magnetoimpedance Effect in CoFeNi Plated Wire with Ac Field Annealing Destabilized Domain Structure","volume":"85","author":"Kurlyandskaya","year":"1999","journal-title":"J. Appl. Phys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1134\/1.1370211","article-title":"Nonlinear Magnetization Reversal in Copper-Permalloy Composite Wires Induced by a High-Frequency Current","volume":"27","author":"Antonov","year":"2001","journal-title":"Techn. Phys. Lett."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"056643","DOI":"10.1063\/1.4975134","article-title":"Tailoring Circular Magnetic Domain Structure and High Frequency Magneto-Impedance of Melt-Extracted Co 69.25 Fe 4.25 Si 13 B 13.5 Microwires through Nb Doping","volume":"7","author":"Eggers","year":"2017","journal-title":"AIP Adv."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1668","DOI":"10.1002\/pssa.201431072","article-title":"Optimization of Mechanical and Giant Magneto-Impedance (GMI) Properties of Melt-Extracted Co-Rich Amorphous Microwires","volume":"211","author":"Shen","year":"2014","journal-title":"Phys. Status Solidi A Appl. Mater. Sci."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1551","DOI":"10.1016\/j.jmmm.2011.11.052","article-title":"Structural and Giant Magneto-Impedance Properties of Cr-Incorporated Co\u2013Fe\u2013Si\u2013B Amorphous Microwires","volume":"324","author":"Sarkar","year":"2012","journal-title":"J. Magn. Magn. Mater."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1646","DOI":"10.1063\/1.361009","article-title":"Giant Magneto-impedance Effect in Nanostructured Magnetic Wires","volume":"79","author":"Knobel","year":"1996","journal-title":"J. Appl. Phys."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1134\/S1061830907100014","article-title":"The Effect of Annealing on Impedance Properties of Elastically Deformed Soft Magnetic Wires","volume":"43","author":"Semirov","year":"2007","journal-title":"Russ. J. Nondestruct. Test."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Alekhina, I., Kolesnikova, V., Rodionov, V., Andreev, N., Panina, L., Rodionova, V., and Perov, N. (2021). An Indirect Method of Micromagnetic Structure Estimation in Microwires. Nanomaterials, 11.","DOI":"10.3390\/nano11020274"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Volchkov, S.O., Pasynkova, A.A., Derevyanko, M.S., Bukreev, D.A., Kozlov, N.V., Svalov, A.V., and Semirov, A.V. (2021). Magnetoimpedance of CoFeCrSiB Ribbon-Based Sensitive Element with FeNi Covering: Experiment and Modeling. Sensors, 21.","DOI":"10.3390\/s21206728"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"030050","DOI":"10.1063\/5.0032282","article-title":"The Study of Magnetic Permeability and Magnetoimpedance: Effect of Ferromagnetic Alloy Characteristics","volume":"2313","author":"Kozlov","year":"2020","journal-title":"AIP Conf. Proc."},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Yang, Z., Chlenova, A.A., Golubeva, E.V., Volchkov, S.O., Guo, P., Shcherbinin, S.V., and Kurlyandskaya, G.V. (2019). Magnetoimpedance Effect in the Ribbon-Based Patterned Soft Ferromagnetic Meander-Shaped Elements for Sensor Application. Sensors, 19.","DOI":"10.3390\/s19112468"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Melnikov, G.Y., Lepalovskij, V.N., Svalov, A.V., Safronov, A.P., and Kurlyandskaya, G.V. (2021). Magnetoimpedance Thin Film Sensor for Detecting of Stray Fields of Magnetic Particles in Blood Vessel. Sensors, 21.","DOI":"10.3390\/s21113621"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"762","DOI":"10.1016\/S0022-3093(99)00175-1","article-title":"Effect of Mo and Nb Additions on the Magnetic Properties of CoFeSiB Amorphous Wires","volume":"250\u2013252","author":"Chiriac","year":"1999","journal-title":"J. Non Cryst. Solids"},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Bukreev, D.A., Derevyanko, M.S., Moiseev, A.A., Semirov, A.V., Savin, P.A., and Kurlyandskaya, G.V. (2020). Magnetoimpedance and Stress-Impedance Effects in Amorphous CoFeSiB Ribbons at Elevated Temperatures. Materials, 13.","DOI":"10.3390\/ma13143216"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/S0304-8853(97)01148-7","article-title":"Theory of Giant Magneto-Impedance Effect in Amorphous Wires with Different Types of Magnetic Anisotropy","volume":"185","author":"Usov","year":"1998","journal-title":"J. Magn. Magn. Mater."},{"key":"ref_37","unstructured":"Drexler, E.S., Simon, N.J., and Reed, R.P. (1992). Properties of Copper and Copper Alloys at Cryogenic Temperatures."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1016\/S0304-8853(02)00147-6","article-title":"Annealing Effects and Degradation Mechanism of NiFe\/Cu GMR Multilayers","volume":"247","author":"Hecker","year":"2002","journal-title":"J. Magn. Magn. Mater."},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Chlenova, A.A., Moiseev, A.A., Derevyanko, M.S., Semirov, A.V., Lepalovsky, V.N., and Kurlyandskaya, G.V. (2017). Permalloy-Based Thin Film Structures: Magnetic Properties and the Giant Magnetoimpedance Effect in the Temperature Range Important for Biomedical Applications. Sensors, 17.","DOI":"10.3390\/s17081900"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1016\/j.bios.2016.10.031","article-title":"Magnetic Impedance Biosensor: A Review","volume":"90","author":"Wang","year":"2017","journal-title":"Biosens. Bioelectron."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/j.sna.2011.02.050","article-title":"GMI Detection of Magnetic-Particle Concentration in Continuous Flow","volume":"172","author":"Ozaeta","year":"2011","journal-title":"Sens. Actuators A Phys."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/j.jmmm.2015.02.050","article-title":"Tailoring Giant Magnetoimpedance Effect of Co-Based Microwires for Optimum Efficiency by Self-Designed Square-Wave Pulse Current Annealing","volume":"385","author":"Liu","year":"2015","journal-title":"J. Magn. Magn. Mater."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"7272","DOI":"10.1063\/1.1519345","article-title":"Influence of Surface Anisotropy on Magnetoimpedance in Wires","volume":"92","author":"Melo","year":"2002","journal-title":"J. Appl. Phys."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"3466","DOI":"10.1109\/20.281198","article-title":"Surface Magnetic Anisotropy in Amorphous Alloys","volume":"29","author":"Tejedor","year":"1993","journal-title":"IEEE Trans. Magn."},{"key":"ref_45","doi-asserted-by":"crossref","unstructured":"Nakai, T. (2022). A Uniform Magnetic Field Generator Combined with a Thin-Film Magneto-Impedance Sensor Capable of Human Body Scans. Sensors, 22.","DOI":"10.3390\/s22093120"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"043905","DOI":"10.1063\/1.2512867","article-title":"Magnetoimpedance of Single and Multilayered FeCuNbSiB Films in Frequencies up to 1.8GHz","volume":"101","author":"Viegas","year":"2007","journal-title":"J. Appl. Phys."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/23\/9512\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:34:35Z","timestamp":1760146475000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/23\/9512"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,12,5]]},"references-count":46,"journal-issue":{"issue":"23","published-online":{"date-parts":[[2022,12]]}},"alternative-id":["s22239512"],"URL":"https:\/\/doi.org\/10.3390\/s22239512","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,12,5]]}}}