Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Spatial incoherence in phase retrieval based on focus variation.

A V Martin1, F-R Chen, W-K Hsieh

  • 1School of Physics, University of Melbourne, Victoria 3010, Australia.

Ultramicroscopy
|June 9, 2006
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Resolution of Virtual Depth Sectioning from Four-Dimensional Scanning Transmission Electron Microscopy.

Microscopy and microanalysis : the official journal of Microscopy Society of America, Microbeam Analysis Society, Microscopical Society of Canada·2023
Same author

Inter-Bragg crystallographic phase retrieval from shape transforms, stacking faults and substitutional disorder.

Ultramicroscopy·2023
Same author

Factors limiting quantitative phase retrieval in atomic-resolution differential phase contrast scanning transmission electron microscopy using a segmented detector.

Ultramicroscopy·2022
Same author

Relative roles of multiple scattering and Fresnel diffraction in the imaging of small molecules using electrons, Part II: Differential Holographic Tomography.

Ultramicroscopy·2021
Same author

Suppressing dynamical diffraction artefacts in differential phase contrast scanning transmission electron microscopy of long-range electromagnetic fields via precession.

Ultramicroscopy·2020
Same author

Relative roles of multiple scattering and Fresnel diffraction in the imaging of small molecules using electrons.

Ultramicroscopy·2020
Same journal

Deep PACBED: Multitask analysis of PACBED images using deep neural networks.

Ultramicroscopy·2026
Same journal

Guided progressive reconstructive imaging: A new quantization-based framework for low-dose, high-throughput and real-time analytical ptychography.

Ultramicroscopy·2026
Same journal

Brightness optimization in a 200 keV DTEM source by geometry-driven aberration suppression.

Ultramicroscopy·2026
Same journal

Characterization of the Timepix4 hybrid pixel detector and its impact on four-dimensional scanning transmission electron microscopy (4D-STEM).

Ultramicroscopy·2026
Same journal

Contamination analysis of the residual gas composition in transmission electron microscopy.

Ultramicroscopy·2026
Same journal

Temperature-dependent mean inner potential of polystyrene spheres measured using off-axis electron holography.

Ultramicroscopy·2026
See all related articles

Spatial incoherence limits phase retrieval methods like transport of intensity equation and iterative wave function reconstruction by defining defocus step size bounds. Insufficient resolution prevents phase information retrieval, impacting applicability.

Area of Science:

  • Optics and Photonics
  • Image Reconstruction
  • Phase Retrieval

Background:

  • Phase retrieval techniques are crucial for reconstructing object wavefronts from intensity measurements.
  • Focus variation methods, including the transport of intensity equation (TIE) and iterative wave function reconstruction (IWFR), are widely used.
  • The impact of spatial incoherence on the performance and limitations of these phase retrieval methods requires detailed investigation.

Purpose of the Study:

  • To investigate the effect of spatial incoherence on TIE and IWFR phase retrieval methods.
  • To determine the upper and lower bounds for defocus step size based on spatial incoherence and image variation.
  • To identify the conditions under which phase information cannot be retrieved by these techniques.

Main Methods:

Related Experiment Videos

  • Analysis of spatial incoherence effects on defocus step size in TIE and IWFR.
  • Establishing upper bounds for defocus step size based on spatial incoherence.
  • Establishing lower bounds for defocus step size based on phase information variation in defocused images.

Main Results:

  • Spatial incoherence imposes an upper bound on the defocus step size for both TIE and IWFR.
  • Sufficient variation in defocused images imposes a lower bound on the defocus step size.
  • The scaling of these bounds with object size and imaging resolution differs, leading to limitations at low resolutions where phase retrieval fails.

Conclusions:

  • Neither TIE nor IWFR can retrieve phase information at sufficiently low resolutions, given specific spatial incoherence properties.
  • The study defines the operational limits and regions of applicability for these phase retrieval techniques under spatial incoherence.
  • Understanding these bounds is critical for successful phase retrieval in various imaging applications.