Ptychographic inversion via Wigner distribution deconvolution: Noise suppression and probe design

Li, Peng; Edo, T. B.; Rodenburg, J. M.

doi:10.1016/j.ultramic.2014.07.004

Cited by 53 publications

(28 citation statements)

References 14 publications

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“…These methods allow for significantly less restrictive sampling, rendering the technique practically useful. Yet despite some efforts [14][15][16], the connection between these iterative algorithms and Wigner distribution deconvolution is not fully understood. In particular, common sampling practices [17] do not take full advantage of the redundancy in the data and are oftentimes rather heuristic.…”

Section: Introductionmentioning

confidence: 99%

Elementary signals in ptychography

Silva¹,

Menzel²

2015

Opt. Express

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Ptychographic imaging has gained popularity for its high resolving power and sensitivity as well as for its ability to map simultaneously the sample's complex-valued refractive index and the illumination. Yet, despite significant progress that allows for reliable practical implementation, some of the technique's fundamentals remain poorly understood, and oftentimes successful data acquisition is either overly conservative or relies more on experimenters experience than on rational data acquisition strategies. Here, we propose a theoretical framework of ptychography, which is based on Gabor's notion of decomposition into elementary signals and the concept of frames. We demonstrate how this framework can straightforwardly be used to derive sampling requirements or to provide arguments on how to optimize the ptychographic scan. More generally, our theoretical framework can serve as a bridge between the experimental technique and the rich and well established mathematical disciplines of wavelets decomposition and spectrogram analysis.

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Section: Introductionmentioning

confidence: 99%

Elementary signals in ptychography

Silva¹,

Menzel²

2015

Opt. Express

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“…However, the approach introduced here can also be applied to data obtained from "fixed-configuration" segmented detectors, where each segment is a bucket detector rather than being defined in terms of a number of pixels on a fast-readout 2D electron camera [10,14,20,21]. In cases in which the full 4D dataset is recorded, the relative simplicity of SDP-a small number of Fourier transform operations is applied to a reduced 2D projection of the dataset-can complement other ptychographic approaches such as ePIE [3] and Wigner distribution deconvolution [35].…”

Section: Discussionmentioning

confidence: 99%

Structure retrieval with fast electrons using segmented detectors

et al. 2016

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We introduce an algorithm for the reconstruction of the complex transmission function of a specimen using segmented detectors in scanning transmission electron microscopy geometry. The phase of the transmission function can be related to magnetic and electric fields within the specimen and is sensitive to lighter elements. The technique is demonstrated for simulated data and also using experimental datasets taken from a MoS 2 monolayer and a SrTiO 3 crystal. We present an extension to the algorithm to account for uncertainties in the illuminating probe. The algorithm can be implemented using fast Fourier transforms, and this provides the possibility of reconstructing specimen transmission functions in real time.

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“…With the exception of a closed form solution [6,16], which is exceptionally data intensive, ptychography algorithms are generally iterative. Two constraints are applied sequentially: the object and illumination function are enforced to remain constant in the experiment for a known set of relative shifts between them; and the estimated intensity arriving at the detector, calculated according to the current estimates of the object and known propagation operators during the forward calculation, is made to match the recorded data.…”

Section: Methodsmentioning

confidence: 99%