Journal
ULTRAMICROSCOPY
Volume 139, Issue -, Pages 5-12Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ultramic.2014.01.005
Keywords
Lorentz transmission electron microscopy; Phase reconstruction; Transport of intensity equation
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Funding
- US Department of Energy, Basic Energy Sciences [DE-FG02-01EK45893]
- U.S. Department of Energy (DOE), Office of Science, Materials Sciences and Engineering Division
- U. S. Department of Energy, Office of Science, Office of Basic Energy Sciences [DE-ACO2-06CH11357]
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We introduce a new approach for the separation of the electrostatic and magnetic components of the electron wave phase shift, based on the transport-of-intensity equation (TIE) formalism. We derive two separate TIE-like equations, one for each of the phase shift components. We use experimental results On FeCoB and Permalloy patterned islands to illustrate how the magnetic and electrostatic longitudinal derivatives can be computed. The main advantage of this new approach is the fact that the differences in the power spectra of the two phase components (electrostatic phase shifts often have significant power in the higher frequencies) can be accommodated by the selection of two different Tikhonov regularization parameters for the two phase reconstructions. The extra computational demands or the method are more than compensated by the improved phase reconstruction results. (C) 2014 Elsevier B.V. All rights reserved
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