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

Three-dimensional phase imaging with the intensity transport equation.

Colin J R Sheppard1

  • 1Department of Applied Physics, Delft University of Technology, The Netherlands. colin@physics.usyd.edu.au

Applied Optics
|October 10, 2002
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

Confocal and multiphoton microscopy: A selective review.

Journal of microscopy·2026
Same author

Dual-Illumination Fourier Modulation Microscopy: New Techniques for Multimodal Light Imaging.

Microscopy research and technique·2025
Same author

Image scanning microscopy with a doughnut beam: signal strength and integrated intensity.

Journal of the Optical Society of America. A, Optics, image science, and vision·2023
Same author

Advancing full-field metrology: rapid 3D imaging with geometric phase ferroelectric liquid crystal technology in full-field optical coherence microscopy.

Biomedical optics express·2023
Same author

Signal strength and integrated intensity in confocal and image scanning microscopy.

Journal of the Optical Society of America. A, Optics, image science, and vision·2023
Same author

Focus image scanning microscopy for sharp and gentle super-resolved microscopy.

Nature communications·2022
Same journal

Multifunctional reconfigurable terahertz metasurface based on vanadium dioxide phase transition: achieving broadband absorption and efficient polarization conversion.

Applied optics·2026
Same journal

High-Q-factor electromagnetically induced transparency utilizing quasi-bound states in the continuum in an all-dielectric terahertz metasurface.

Applied optics·2026
Same journal

Automated stitching interferometry for high-precision metrology of X-ray mirrors.

Applied optics·2026
Same journal

Experimental demonstration of an approach to designing a metal-dielectric DBR resonant cavity structure.

Applied optics·2026
Same journal

High-precision wavefront reconstruction from a single-shot interferogram using a physics-driven hybrid feature calibration network.

Applied optics·2026
Same journal

Ultra-high-Q Fano resonance based on coupled topological corner states in Kagome photonic crystals.

Applied optics·2026
See all related articles

This study explores 3D imaging of weak phase objects using the intensity transport equation. While thin object refractive indices are measurable, full 3D reconstruction is limited without known sample regions.

Area of Science:

  • Optics and Photonics
  • Image Reconstruction
  • Materials Science

Background:

  • Phase retrieval from intensity measurements is crucial for imaging.
  • The intensity transport equation offers a pathway for phase retrieval.
  • Three-dimensional imaging of phase objects presents unique challenges.

Purpose of the Study:

  • To investigate the feasibility of three-dimensional image formation for weak phase objects.
  • To evaluate the limitations of the intensity transport equation method in refractive index reconstruction.
  • To determine conditions under which 3D reconstruction is viable.

Main Methods:

  • Utilizing the intensity transport equation for phase retrieval.
  • Analyzing intensity measurements to reconstruct object properties.

Related Experiment Videos

  • Investigating the impact of spatial frequency detection on image formation.

    • Main Results:

    • Successfully measured the refractive index of thin objects.
    • Demonstrated that general three-dimensional refractive index variations cannot be fully reconstructed.
    • Identified the limitation due to undetected spatial frequencies with zero-axial components.
    • Showcased that reconstruction is feasible in samples with known refractive index regions.

    Conclusions:

    • The intensity transport equation is effective for phase retrieval in specific scenarios.
    • Limitations exist in reconstructing arbitrary 3D refractive index variations.
    • The presence of known refractive index regions can overcome reconstruction challenges.