Persistent Homology Analysis for Solar Magnetograms
Understanding the magnetic fields of the Sun is essential for unraveling the underlying mechanisms driving solar activity. Integrating topological data analysis techniques into these investigations can provide valuable insights into the intricate structures of magnetic fields, enhancing our comprehe...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2024-01-01
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| Series: | The Astrophysical Journal |
| Subjects: | |
| Online Access: | https://doi.org/10.3847/1538-4357/ad26e8 |
| _version_ | 1797263363622830080 |
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| author | P. Santamarina Guerrero Yukio Katsukawa Shin Toriumi D. Orozco Suárez |
| author_facet | P. Santamarina Guerrero Yukio Katsukawa Shin Toriumi D. Orozco Suárez |
| author_sort | P. Santamarina Guerrero |
| collection | DOAJ |
| description | Understanding the magnetic fields of the Sun is essential for unraveling the underlying mechanisms driving solar activity. Integrating topological data analysis techniques into these investigations can provide valuable insights into the intricate structures of magnetic fields, enhancing our comprehension of solar activity and its implications. In this study, we explore what persistent homology can offer in the analysis of solar magnetograms, with the objective of introducing a novel tool that will serve as the foundation for further studies of magnetic structures at the solar surface. By combining various filtration methods of the persistent homology analysis, we conduct an analysis of solar magnetograms that captures the broad magnetic scene, involving a mixture of positive and negative polarities. This analysis is applied to observations of both quiet-Sun and active regions, taken with the Hinode/Solar Optical Telescope and SDO/Helioseismic and Magnetic Imager, respectively. Our primary focus is on analyzing the properties of the spatial structures and features of the magnetic fields identified through these techniques. The results show that persistent diagrams can encode the spatial structural complexity of the magnetic flux of active regions by identifying the isolated, connected, and interacting features. They facilitate the classification of active regions based on their morphology and the detection and quantification of interacting structures of opposing polarities, such as δ spots. The small-scale events in the quiet Sun, such as magnetic flux cancellation and emergence, are also revealed in persistent diagrams and can be studied by observing the evolution of the plots and tracking the relevant features. |
| first_indexed | 2024-04-25T00:11:49Z |
| format | Article |
| id | doaj.art-ee862be2eada42e59b86efb79f26af9e |
| institution | Directory Open Access Journal |
| issn | 1538-4357 |
| language | English |
| last_indexed | 2024-04-25T00:11:49Z |
| publishDate | 2024-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | The Astrophysical Journal |
| spelling | doaj.art-ee862be2eada42e59b86efb79f26af9e2024-03-13T13:29:26ZengIOP PublishingThe Astrophysical Journal1538-43572024-01-0196413210.3847/1538-4357/ad26e8Persistent Homology Analysis for Solar MagnetogramsP. Santamarina Guerrero0https://orcid.org/0000-0001-7094-518XYukio Katsukawa1https://orcid.org/0000-0002-5054-8782Shin Toriumi2https://orcid.org/0000-0002-1276-2403D. Orozco Suárez3https://orcid.org/0000-0001-8829-1938Instituto de Astrofísica de Andalucía (CSIC) , Apdo. de Correos 3004, E-18080 Granada, SpainNational Astronomical Observatory of Japan , 2-21-1 Osawa, Mitaka, Tokyo 181-8588, JapanInstitute of Space and Astronautical Science , Japan Aerospace Exploration Agency, 3-1-1, Yoshinodai, Chuo-ku, Sagamihara, Kanagawa 252-5210, JapanInstituto de Astrofísica de Andalucía (CSIC) , Apdo. de Correos 3004, E-18080 Granada, SpainUnderstanding the magnetic fields of the Sun is essential for unraveling the underlying mechanisms driving solar activity. Integrating topological data analysis techniques into these investigations can provide valuable insights into the intricate structures of magnetic fields, enhancing our comprehension of solar activity and its implications. In this study, we explore what persistent homology can offer in the analysis of solar magnetograms, with the objective of introducing a novel tool that will serve as the foundation for further studies of magnetic structures at the solar surface. By combining various filtration methods of the persistent homology analysis, we conduct an analysis of solar magnetograms that captures the broad magnetic scene, involving a mixture of positive and negative polarities. This analysis is applied to observations of both quiet-Sun and active regions, taken with the Hinode/Solar Optical Telescope and SDO/Helioseismic and Magnetic Imager, respectively. Our primary focus is on analyzing the properties of the spatial structures and features of the magnetic fields identified through these techniques. The results show that persistent diagrams can encode the spatial structural complexity of the magnetic flux of active regions by identifying the isolated, connected, and interacting features. They facilitate the classification of active regions based on their morphology and the detection and quantification of interacting structures of opposing polarities, such as δ spots. The small-scale events in the quiet Sun, such as magnetic flux cancellation and emergence, are also revealed in persistent diagrams and can be studied by observing the evolution of the plots and tracking the relevant features.https://doi.org/10.3847/1538-4357/ad26e8Solar magnetic fieldsQuiet SunSolar active regionsAstronomy data analysis |
| spellingShingle | P. Santamarina Guerrero Yukio Katsukawa Shin Toriumi D. Orozco Suárez Persistent Homology Analysis for Solar Magnetograms The Astrophysical Journal Solar magnetic fields Quiet Sun Solar active regions Astronomy data analysis |
| title | Persistent Homology Analysis for Solar Magnetograms |
| title_full | Persistent Homology Analysis for Solar Magnetograms |
| title_fullStr | Persistent Homology Analysis for Solar Magnetograms |
| title_full_unstemmed | Persistent Homology Analysis for Solar Magnetograms |
| title_short | Persistent Homology Analysis for Solar Magnetograms |
| title_sort | persistent homology analysis for solar magnetograms |
| topic | Solar magnetic fields Quiet Sun Solar active regions Astronomy data analysis |
| url | https://doi.org/10.3847/1538-4357/ad26e8 |
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