Real-Time 3D Magnetic Field Camera for a Spherical Volume
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arXiv
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| Main Authors: | , , , , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915811508092928 |
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| author | Foerger, Fynn Boberg, Marija Hackelberg, Niklas Heinisch, Philip Ostaszewski, Katharina Faltinath, Jonas Thieben, Florian Mohn, Fabian Jürß, Paul Möddel, Martin Knopp, Tobias |
| author_facet | Foerger, Fynn Boberg, Marija Hackelberg, Niklas Heinisch, Philip Ostaszewski, Katharina Faltinath, Jonas Thieben, Florian Mohn, Fabian Jürß, Paul Möddel, Martin Knopp, Tobias |
| contents | Accurate and efficient volumetric magnetic field measurements are essential for a wide range of applications. Conventional methods are often limited in terms of measurement speed and applicability, or suffer from scaling problems at larger volumes. This work presents the development of a magnetometer array designed to measure magnetic fields within a spherical volume at a frame rate of 10 Hz. The array consists of 3D Hall magnetometers positioned according to a spherical $t$-design, allowing simultaneous magnetic field data acquisition from the surface of the sphere. The approach enables the efficient representation of all three components of the magnetic field inside the sphere using a sixth-degree polynomial, significantly reducing measurement time compared to sequential methods. This work details the design, calibration, and measurement methods of the array. To evaluate its performance, we compare it to a sequential single-sensor measurement by examining a magnetic gradient field. The obtained measurement uncertainties of approx. 1% show the applicability for a variety of applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04391 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Real-Time 3D Magnetic Field Camera for a Spherical Volume Foerger, Fynn Boberg, Marija Hackelberg, Niklas Heinisch, Philip Ostaszewski, Katharina Faltinath, Jonas Thieben, Florian Mohn, Fabian Jürß, Paul Möddel, Martin Knopp, Tobias Applied Physics Accurate and efficient volumetric magnetic field measurements are essential for a wide range of applications. Conventional methods are often limited in terms of measurement speed and applicability, or suffer from scaling problems at larger volumes. This work presents the development of a magnetometer array designed to measure magnetic fields within a spherical volume at a frame rate of 10 Hz. The array consists of 3D Hall magnetometers positioned according to a spherical $t$-design, allowing simultaneous magnetic field data acquisition from the surface of the sphere. The approach enables the efficient representation of all three components of the magnetic field inside the sphere using a sixth-degree polynomial, significantly reducing measurement time compared to sequential methods. This work details the design, calibration, and measurement methods of the array. To evaluate its performance, we compare it to a sequential single-sensor measurement by examining a magnetic gradient field. The obtained measurement uncertainties of approx. 1% show the applicability for a variety of applications. |
| title | Real-Time 3D Magnetic Field Camera for a Spherical Volume |
| topic | Applied Physics |
| url | https://arxiv.org/abs/2503.04391 |