{"title":"Study of vector fields topology of magnetic multipoles using the magneto-optical Kerr effect","authors":"V.E. Ivanov, L.G. Boguslavskiy, V.N. Lepalovskij","doi":"10.1016/j.jmmm.2025.173175","DOIUrl":null,"url":null,"abstract":"<div><div>The work develops the study of the topological structure of inhomogeneous magnetic fields of ideal circular multipoles using magneto-optical images. Magneto-optical visualization of the in plane component field of multipoles having a multipole degree from n = 0 to n = 4 revealed the presence of alternating brightness sectors, the number of which is <span><math><mrow><mi>S</mi><mo>=</mo><mn>2</mn><mo>(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo>)</mo><mo>.</mo></mrow></math></span> Vectorization of magneto-optical images of these fields showed that the Poincaré index of the fields of these systems is <span><math><mrow><msub><mi>χ</mi><mi>n</mi></msub><mo>=</mo><mi>n</mi><mo>+</mo><mn>1</mn></mrow></math></span>. The application of a homogeneous bias field in the plane of the indicator film causes the entry into the field of view of saddle-shaped singular points, the number of which coincides with the Poincaré index. It is shown that the topological structure of the field is not an unambiguous characteristic of the geometry of magnetic systems, including under the action of the bias field.</div></div>","PeriodicalId":366,"journal":{"name":"Journal of Magnetism and Magnetic Materials","volume":"628 ","pages":"Article 173175"},"PeriodicalIF":2.5000,"publicationDate":"2025-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Magnetism and Magnetic Materials","FirstCategoryId":"88","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S030488532500407X","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
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Abstract
The work develops the study of the topological structure of inhomogeneous magnetic fields of ideal circular multipoles using magneto-optical images. Magneto-optical visualization of the in plane component field of multipoles having a multipole degree from n = 0 to n = 4 revealed the presence of alternating brightness sectors, the number of which is Vectorization of magneto-optical images of these fields showed that the Poincaré index of the fields of these systems is . The application of a homogeneous bias field in the plane of the indicator film causes the entry into the field of view of saddle-shaped singular points, the number of which coincides with the Poincaré index. It is shown that the topological structure of the field is not an unambiguous characteristic of the geometry of magnetic systems, including under the action of the bias field.
期刊介绍:
The Journal of Magnetism and Magnetic Materials provides an important forum for the disclosure and discussion of original contributions covering the whole spectrum of topics, from basic magnetism to the technology and applications of magnetic materials. The journal encourages greater interaction between the basic and applied sub-disciplines of magnetism with comprehensive review articles, in addition to full-length contributions. In addition, other categories of contributions are welcome, including Critical Focused issues, Current Perspectives and Outreach to the General Public.
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