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

Self-affinity in phase space.

T Alieva1, M J Bastiaans

  • 1Technische Universiteit Eindhoven, Faculteit Elektrotechniek, The Netherlands.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|April 11, 2000
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

Partially coherent stable and spiral beams.

Journal of the Optical Society of America. A, Optics, image science, and vision·2013
Same author

Gabor's signal expansion and the Zak transform.

Applied optics·2010
Same author

Wigner distribution function display: a supplement to ambiguity function display using a single 1-D input.

Applied optics·2010
Same author

Fresnel diffraction effects in Fourier-transform arrayed waveguide grating spectrometer.

Optics express·2009
Same author

Mode analysis in optics through fractional transforms.

Optics letters·2007
Same author

Wigner distribution and fractional Fourier transform for two-dimensional symmetric optical beams.

Journal of the Optical Society of America. A, Optics, image science, and vision·2001
Same journal

Multi-module collaborative optimization-driven fast speckle correlation imaging in variable environments.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
Same journal

Secrecy performance analysis of NOMA-UWOC systems over a vertically stratified WGG oceanic turbulence channel.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
Same journal

Backscattering of plane waves in a composite system containing a rough surface and anisotropic scatterers.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
Same journal

Aspherical surface construction methods based on extended Jacobi polynomials.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
Same journal

OCT sidelobe suppression method based on dual-path phase sinusoidal modulation and minimum value fusion.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
Same journal

Optical design concepts using wavelength-selective diffractive optics to enable miniaturized multimodal endoscopic imaging across separated spectral ranges.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
See all related articles

Researchers derived the Wigner distribution (WD) in polar coordinates using Hermite-Gauss modes. This new representation simplifies analyzing WD structure and field propagation in optical systems.

Area of Science:

  • Optics
  • Quantum Mechanics
  • Signal Processing

Background:

  • The Wigner distribution (WD) is a time-frequency representation.
  • Analyzing WD in optical systems is complex.
  • Decomposition of fields on orthogonal modes is a known technique.

Purpose of the Study:

  • Derive the Wigner distribution (WD) in polar coordinates.
  • Simplify the analysis of WD structure.
  • Describe field propagation in first-order optical systems.

Main Methods:

  • Decomposition of coherent and partially coherent fields.
  • Utilized orthogonal sets of Hermite-Gauss modes.
  • Derived the WD expression in polar coordinates.

Main Results:

Related Experiment Videos

  • Successfully derived the WD expression in polar coordinates.
  • The new representation simplifies WD structure analysis.
  • Enabled description of field propagation, including self-imaging.

Conclusions:

  • The polar coordinate WD offers a simplified analytical tool.
  • Facilitates understanding of field propagation in optical systems.
  • Provides insights into phenomena like self-imaging.