Imaging the Magnetic Configuration in 3D Structures

To fully understand a three-dimensional magnetic system, suitable imaging techniques are required. Traditionally, high spatial resolution imaging of magnetic configurations has been limited to surfaces and thin films. To overcome these limitations, we have developed tomographic techniques with synchrotron x-rays to look beyond the sample surface and probe the 3D magnetization configuration in magnetic materials.

To image the configuration of 3D magnetic structures with synchrotron x-rays, one first needs to measure a two-dimensional projection of the magnetic structure. Magnetic sensitivity is obtained using circularly polarized x-rays that are focused on the sample. To obtain 3D information on the magnetic state, several 2D projections, measured at different orientations of the sample, can be combined to obtain a 3D image using a self-developed reconstruction algorithm [1].

One of the main challenges facing the characterization of 3D magnetic systems is the vectorial nature of the magnetization. In particular, all three components of the magnetization vector field must be determined. To achieve maximum flexibility in terms of samples that can be measured, two experimental geometries can be used: dual-axis tomography or laminography, shown schematically in Fig. 1.

3d-imaging-fig1
Fig 1: Schematics of the experimental set-ups. Left panel: a dual-orientation tomographic configuration. Reproduced from [2]. Right panel: a laminography setup. Reproduced from [3]. In both cases the x-rays are focused on the sample with Fresnel Zone Plates. Rotation axes are indicated by the green arrows.

Tomography

In tomography, the sample axis of rotation is perpendicular to the x-ray propagation direction, which means that only two components of the magnetization will be measured for a single tomogram. In order to have sufficient information to obtain a tomographic reconstruction of the 3D magnetization vector field, a second tomogram is required, with the sample tilted with respect to its original position. Tilting of the sample (30º suffices) gives sensitivity to the missing magnetization component.

Laminography

Another possibility for the reconstruction of the 3D magnetization vector field is to modify the sample rotation axis so that it is no longer perpendicular to the x-ray propagation direction. With this geometry, all three components of the magnetization can be probed using one axis of rotation. This geometry is ideally suited to extended objects, avoiding the requirement to have cylindrical samples when using tomography.

Utilizing both tomography and laminography, we have been able to reconstruct the magnetic configuration of different samples, achieving 100 nm spatial resolution in 3D [2-4]. We expect that the next generation of synchrotron light sources could lead to an improvement in the achievable spatial resolution by a factor of 10.

References

  1. Tomographic Reconstruction of a Three-Dimensional Magnetization Vector Field
    C. Donnelly, S. Gliga, V. Scagnoli, M. Holler, J. Raabe, L.J. Heyderman, M. Guizar-Sicairos, external pageNew Journal of Physics 20, 083009 (2018)
  2. Experimental Observation of Vortex Rings in a Bulk Magnet
    C. Donnelly, K.L. Metlov, V. Scagnoli, M. Guizar-Sicairos, M. Holler, N.S. Bingham, J. Raabe, L.J. Heyderman,
    N.R. Cooper, S. Gliga
    , external pageNature Physics 17, 316 (March 2021)
  3. Time-Resolved Imaging of Three-Dimensional Nanoscale Magnetization Dynamics
    C. Donnelly, S. Finizio, S. Gliga, M. Holler, A. Hrabec, M. Odstrčil, S. Mayr, V. Scagnoli, L.J. Heyderman,
    M. Guizar-Sicairos, J. Raabe
    , external pageNature Nanotechnology 15, 356 (May 2020)
  4. Three-Dimensional Magnetization Structures Revealed with X-Ray Vector Nanotomography
    C. Donnelly, M. Guizar-Sicairos, V. Scagnoli, S. Gliga, M. Holler, J. Raabe, L.J. Heydermanexternal pageNature 547, 328 (July 2017)
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