A streamlined approach to mapping the magnetic induction of skyrmionic materials
Jordan J. Chess, Sergio A. Montoya, Tyler R. Harvey, Colin Ophus,, Simon Couture, Vitaliy Lomakin, Eric E. Fullerton, Benjamin J. McMorran

TL;DR
This paper introduces a simplified method to quantitatively map magnetic induction in skyrmionic materials using only a single LTEM image, streamlining the analysis process for uniform thin magnetic films.
Contribution
It presents a novel simplified TIE approach enabling magnetic induction mapping from a single image, reducing data collection complexity.
Findings
Single-image magnetic induction reconstruction demonstrated
Applicable to uniform thin magnetic films including skyrmionic samples
Reduces the need for multiple image collection
Abstract
Recently, Lorentz transmission electron microscopy (LTEM) has helped researchers advance the emerging field of magnetic skyrmions. These magnetic quasi-particles, composed of topologically non-trivial magnetization textures, have a large potential for application as information carriers in low-power memory and logic devices. LTEM is one of a very few techniques for direct real space imaging of magnetic features at the nanoscale. For Fresnel-contrast LTEM, the transport of intensity equation (TIE) is the tool of choice for quantitative reconstruction of the local magnetic induction through the sample thickness. Typically this analysis requires collection of at least three images.Here we show that for uniform thin magnetic films which includes many skyrmionic samples, the magnetic induction can be quantitatively determined from a single defocused image using a simplified TIE approach.
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