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 Concept Videos

X-ray Crystallography02:18

X-ray Crystallography

23.8K
The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
23.8K
X-ray Diffraction of Biological Samples01:10

X-ray Diffraction of Biological Samples

3.8K
X-ray diffraction or XRD is an analytical tool that utilizes X-rays to study ordered structures such as crystalline organic and inorganic samples, polycrystalline materials, proteins, carbohydrates, and drugs.
According to Bragg's law, when X-rays strike the sample positioned on a stage, the rays are  scattered by the electron clouds around the sample atoms. The  X-ray diffraction or scattering is caused by constructive interference of the X-ray waves that reflect off the internal...
3.8K
Potential Due to a Polarized Object01:29

Potential Due to a Polarized Object

358
A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
358
The de Broglie Wavelength02:32

The de Broglie Wavelength

25.3K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
25.3K

You might also read

Related Articles

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

Sort by
Same author

Borel summability of spectral nonparaxial perturbative series.

Journal of the Optical Society of America. A, Optics, image science, and vision·2025
Same author

Paraxial sharp-edge diffraction of vortex beams by elliptic apertures.

Optics letters·2024
Same author

"Analytical continuation" of flattened Gaussian beams.

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

Nijboer-Zernike's aberration theory: computational achievements via Tchebychev's polynomials approximation theory.

Journal of the Optical Society of America. A, Optics, image science, and vision·2022
Same author

Paraxial sharp-edge diffraction: a general approach.

Optics express·2022
Same author

Sharp-edge diffraction under Bessel beam illumination: a catastrophe optics perspective.

Journal of the Optical Society of America. A, Optics, image science, and vision·2022
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

Related Experiment Video

Updated: May 30, 2025

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
08:44

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

7.7K

Dressing the cusp: how paraxial sharp-edge diffraction theory solves a basic issue in catastrophe optics.

Riccardo Borghi

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |January 31, 2025
    PubMed
    Summary
    This summary is machine-generated.

    Researchers solved a key problem in catastrophe optics by applying an ancient theorem and boundary diffraction wave theory. This advances understanding of light diffraction patterns and optical singularities like the cusp.

    More Related Videos

    In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
    06:49

    In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

    Published on: March 2, 2021

    6.2K
    High Pressure Single Crystal Diffraction at PX^2
    11:32

    High Pressure Single Crystal Diffraction at PX^2

    Published on: January 16, 2017

    21.4K

    Related Experiment Videos

    Last Updated: May 30, 2025

    Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
    08:44

    Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

    Published on: August 22, 2017

    7.7K
    In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
    06:49

    In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

    Published on: March 2, 2021

    6.2K
    High Pressure Single Crystal Diffraction at PX^2
    11:32

    High Pressure Single Crystal Diffraction at PX^2

    Published on: January 16, 2017

    21.4K

    Area of Science:

    • Classical Optics
    • Theoretical Optics
    • Mathematical Physics

    Background:

    • Catastrophe optics offers a novel framework for describing light diffraction.
    • Practical application has been hindered by challenges in describing optical singularities (caustics).
    • Previous solutions were limited to the simplest caustic, the fold.

    Purpose of the Study:

    • To solve the fundamental problem of dressing the cusp caustic in catastrophe optics.
    • To extend the description of diffraction patterns beyond the fold singularity.
    • To demonstrate a practical and effective method for implementing this solution.

    Main Methods:

    • Utilized an ancient mathematical theorem to address the cusp singularity.
    • Employed the paraxial version of the boundary diffraction wave theory.
    • Integrated catastrophe optics with boundary diffraction wave theory.

    Main Results:

    • Achieved a complete solution for the dressing problem of the cusp caustic.
    • Demonstrated the effectiveness and ease of implementation of the developed algorithm.
    • Provided a significant example showcasing the algorithm's capabilities.

    Conclusions:

    • The study successfully solves a long-standing theoretical challenge in catastrophe optics.
    • This advancement facilitates a more comprehensive understanding of light diffraction phenomena.
    • The presented method offers a practical tool for optical research and applications.