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

Experimental umbilic diabolos in random optical fields.

Marat S Soskin1, Roman I Egorov, Isaac Freund

  • 1Institute of Physics, National Academy of Science of Ukraine, Kiev, Ukraine. marats@vortex.kiev.ua

Optics Letters
|March 22, 2007
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

Transient electromagnetic singularities in random three-dimensional optical fields.

Optics letters·2021
Same author

Twisted ribbon carousels in random, three-dimensional optical fields.

Optics letters·2020
Same author

Polarization Möbius strips on elliptical paths in three-dimensional optical fields.

Optics letters·2020
Same author

Topological events on the lines of circular polarization in nonparaxial vector optical fields.

Optics letters·2017
Same author

Singularity screening in generic optical fields.

Optics letters·2015
Same author

Observer-dependent sign inversions of polarization singularities.

Optics letters·2014

Umbilic points, previously unobserved in random optical fields, are the most numerous special points. These points, along with optical vortices, exhibit unique rotational properties of curvature directions, revealing complex light field structures.

Area of Science:

  • Physics
  • Optics
  • Mathematical Physics

Background:

  • Random optical fields exhibit complex intensity landscapes with maxima, minima, saddle points, and optical vortices.
  • Special points in these fields are characterized by the eigenvalues of the Hessian matrix, which measure landscape curvature.
  • Umbilic points, where these eigenvalues become degenerate, have been theoretically predicted but not experimentally observed in random optical fields.

Purpose of the Study:

  • To experimentally observe and characterize umbilic points in random optical fields.
  • To investigate the rotational behavior of principal curvature directions around umbilic points and optical vortices.
  • To classify the types of umbilic points based on their associated geometric structures (diabolos).

Main Methods:

Related Experiment Videos

  • Experimental generation and analysis of random optical fields.
  • Measurement of the Hessian matrix eigenvalues and eigenvectors to identify umbilic points.
  • Tracking the rotation of principal curvature directions around singular points.

    • Main Results:

    • Umbilic points were experimentally observed and confirmed to be the most numerous special points in random optical fields.
    • The eigenvectors (principal curvature directions) rotate about umbilic points with half-integer winding numbers and about vortices with integer winding numbers.
    • The geometric structure associated with umbilic points, termed a diabolo, can be classified as elliptic or hyperbolic, with initial experimental fractions reported.

    Conclusions:

    • Umbilic points are a fundamental and abundant feature of random optical fields.
    • The rotational properties of curvature directions around umbilic points and vortices provide insights into light field topology.
    • The classification of diabolos offers a new way to characterize the complexity of optical landscapes.