Vector field electron tomography of magnetic materials: Theoretical development

C. Phatak, Marco Beleggia, M. De Graef

Research output: Contribution to journalJournal articleResearch


The theory of vector field electron tomography, the reconstruction of the three-dimensional magnetic induction around a magnetized object, is derived within the framework of Lorentz transmission electron microscopy. The tomographic reconstruction method uses as input two orthogonal tilt series of magnetic phase maps and is based on the vector slice theorem. An analytical reconstruction of the magnetic induction of a single magnetic dipole is presented as a proof-of-concept. The method is compared to two previously reported approaches: a reconstruction starting from the gradient of the magnetic phase maps, and a direct reconstruction of the magnetic vector potential. Numerical examples as well as estimates of the reconstruction errors for a range of magnetic particle shapes are reported.
Original languageEnglish
Issue number6
Pages (from-to)503-513
Number of pages11
Publication statusPublished - 2008
Externally publishedYes


  • Three-dimensional reconstruction
  • Electron tomography
  • Lorentz microscopy
  • Phase reconstruction


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