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Single Particle Multipole Expansions From Micromagnetic Tomography.

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Summary

This study introduces a new mathematical method for micromagnetic tomography, enhancing the analysis of individual magnetic particle magnetization. The technique recovers higher-order magnetic potential details, offering deeper insights into rock magnetic properties and paleomagnetic reliability.

Keywords:
magnetismmicromagnetic tomographymultipolepaleomagnetismrock magnetism

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Area of Science:

  • Geophysics
  • Materials Science
  • Paleomagnetism

Background:

  • Micromagnetic tomography combines magnetic scanning with micro X-ray computed tomography (microCT) to study individual magnetic particles.
  • Previous methods could robustly infer dipole moments but lacked detailed magnetization information.
  • Understanding individual particle magnetization is crucial for rock magnetic studies and paleomagnetism.

Purpose of the Study:

  • To develop a mathematical procedure for recovering higher-order magnetic potential components of individual magnetic particles.
  • To apply spherical harmonic expansions (SHE) for detailed magnetic analysis.
  • To enhance micromagnetic tomography for advanced rock magnetic investigations.

Main Methods:

  • Utilized scanning superconducting quantum interference device (SQUID) microscopy and microCT data.
  • Developed a mathematical procedure to calculate spherical harmonic expansions (SHE) of magnetic potential.
  • Tested the method on a reference sample with multiple magnetic particles.

Main Results:

  • Successfully recovered SHE up to order n=3 for particles with high signal-to-noise ratios.
  • Demonstrated that higher-order SHE provide constraints on internal magnetization structures.
  • Validated the robustness of the SHE recovery method.

Conclusions:

  • The enhanced micromagnetic tomography approach provides detailed rock magnetic information.
  • This method improves the assessment of particle stability and reliability as paleomagnetic remanence carriers.
  • Enables new avenues for studying large ensembles of magnetic particles with unprecedented detail.