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. (c) 2007 Elsevier B.V. All rights reserved.

Vector field electron tomography of magnetic materials: Theoretical development / Phatak, C; Beleggia, M; De Graef, M. - In: ULTRAMICROSCOPY. - ISSN 0304-3991. - 108:6(2008), pp. 503-513. [10.1016/j.ultramic.2007.08.002]

Vector field electron tomography of magnetic materials: Theoretical development

Beleggia M;
2008

Abstract

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. (c) 2007 Elsevier B.V. All rights reserved.
2008
108
6
503
513
Vector field electron tomography of magnetic materials: Theoretical development / Phatak, C; Beleggia, M; De Graef, M. - In: ULTRAMICROSCOPY. - ISSN 0304-3991. - 108:6(2008), pp. 503-513. [10.1016/j.ultramic.2007.08.002]
Phatak, C; Beleggia, M; De Graef, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1255428
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