Direct three-dimensional tomographic reconstruction and phase retrieval of far-field coherent diffraction patterns

Tiago João Ayres Pereira da Cunha Ramos, Bastian Ellegård Grønager, Martin Skovgaard Andersen, Jens Wenzel Andreasen*

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

We present an alternative numerical reconstruction algorithm for direct tomographic reconstruction of a sample's refractive indices from the measured intensities of its far-field coherent diffraction patterns. We formulate the well-known phase-retrieval problem in ptychography in a tomographic framework which allows for simultaneous reconstruction of the illumination function and the sample's refractive indices in three dimensions. Our iterative reconstruction algorithm is based on the Levenberg-Marquardt algorithm and we demonstrate the performance of our proposed method with simulated and real datasets.
Original languageEnglish
Article number023801
JournalPhysical Review A (Atomic, Molecular and Optical Physics)
Volume99
Issue number2
Number of pages9
ISSN2469-9926
DOIs
Publication statusPublished - 2019

Cite this

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title = "Direct three-dimensional tomographic reconstruction and phase retrieval of far-field coherent diffraction patterns",
abstract = "We present an alternative numerical reconstruction algorithm for direct tomographic reconstruction of a sample's refractive indices from the measured intensities of its far-field coherent diffraction patterns. We formulate the well-known phase-retrieval problem in ptychography in a tomographic framework which allows for simultaneous reconstruction of the illumination function and the sample's refractive indices in three dimensions. Our iterative reconstruction algorithm is based on the Levenberg-Marquardt algorithm and we demonstrate the performance of our proposed method with simulated and real datasets.",
author = "{Ayres Pereira da Cunha Ramos}, {Tiago Jo{\~a}o} and Gr{\o}nager, {Bastian Elleg{\aa}rd} and Andersen, {Martin Skovgaard} and Andreasen, {Jens Wenzel}",
year = "2019",
doi = "10.1103/PhysRevA.99.023801",
language = "English",
volume = "99",
journal = "Physical Review A (Atomic, Molecular and Optical Physics)",
issn = "2469-9926",
publisher = "American Physical Society",
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Direct three-dimensional tomographic reconstruction and phase retrieval of far-field coherent diffraction patterns. / Ayres Pereira da Cunha Ramos, Tiago João; Grønager, Bastian Ellegård ; Andersen, Martin Skovgaard; Andreasen, Jens Wenzel.

In: Physical Review A (Atomic, Molecular and Optical Physics), Vol. 99, No. 2, 023801, 2019.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Direct three-dimensional tomographic reconstruction and phase retrieval of far-field coherent diffraction patterns

AU - Ayres Pereira da Cunha Ramos, Tiago João

AU - Grønager, Bastian Ellegård

AU - Andersen, Martin Skovgaard

AU - Andreasen, Jens Wenzel

PY - 2019

Y1 - 2019

N2 - We present an alternative numerical reconstruction algorithm for direct tomographic reconstruction of a sample's refractive indices from the measured intensities of its far-field coherent diffraction patterns. We formulate the well-known phase-retrieval problem in ptychography in a tomographic framework which allows for simultaneous reconstruction of the illumination function and the sample's refractive indices in three dimensions. Our iterative reconstruction algorithm is based on the Levenberg-Marquardt algorithm and we demonstrate the performance of our proposed method with simulated and real datasets.

AB - We present an alternative numerical reconstruction algorithm for direct tomographic reconstruction of a sample's refractive indices from the measured intensities of its far-field coherent diffraction patterns. We formulate the well-known phase-retrieval problem in ptychography in a tomographic framework which allows for simultaneous reconstruction of the illumination function and the sample's refractive indices in three dimensions. Our iterative reconstruction algorithm is based on the Levenberg-Marquardt algorithm and we demonstrate the performance of our proposed method with simulated and real datasets.

U2 - 10.1103/PhysRevA.99.023801

DO - 10.1103/PhysRevA.99.023801

M3 - Journal article

VL - 99

JO - Physical Review A (Atomic, Molecular and Optical Physics)

JF - Physical Review A (Atomic, Molecular and Optical Physics)

SN - 2469-9926

IS - 2

M1 - 023801

ER -