Transport of intensity phase retrieval in the presence of intensity variations and unknown boundary conditions

The so-called Transport of Intensity Equation (TIE) phase retrieval technique is widely applied in light, X-ray and electron optics to reconstruct, e.g., refractive indices, electric and magnetic fields in solids. Here, we present a largely improved TIE reconstruction algorithm, which properly considers intensity variations as well as unknown boundary conditions in a finite difference implementation of the Transport of Intensity partial differential equation. That largely removes reconstruction artifacts encountered in state-of-the-art Poisson solvers of the TIE, and hence significantly increases the applicability of the technique.

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Journal
Optik
Published
2024-11-12
DOI
https://doi.org/10.1016/j.ijleo.2024.172109
Primary Topic
Advanced X-ray Imaging Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

Transport of intensity phase retrieval in the presence of intensity variations and unknown boundary conditions

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Optik
Advanced X-ray Imaging Techniques
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Transport of intensity phase retrieval in the presence of intensity variations and unknown boundary conditions

Johannes Schultz, Markus Herzog, Bernd Büchner, Daniel Wolf, Praveen Vir, Michael Wegner, Axel Lubk, Claudia Felser, O. Zaiets, Matthias Winter, R. Kyrychenko
article en

Abstract

The so-called Transport of Intensity Equation (TIE) phase retrieval technique is widely applied in light, X-ray and electron optics to reconstruct, e.g., refractive indices, electric and magnetic fields in solids. Here, we present a largely improved TIE reconstruction algorithm, which properly considers intensity variations as well as unknown boundary conditions in a finite difference implementation of the Transport of Intensity partial differential equation. That largely removes reconstruction artifacts encountered in state-of-the-art Poisson solvers of the TIE, and hence significantly increases the applicability of the technique.

OptikVol. 319
Leibniz Institute for Solid State and Materials Research (DE), Max Planck Institute for Chemical Physics of Solids (DE), Technische Universität Dresden (DE)
Deutsche Forschungsgemeinschaft, International Max Planck Research School for Chemistry and Physics of Quantum Materials
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Openalex Percentile: Top 71%
Advanced X-ray Imaging Techniques
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