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

23.9K
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...
23.9K
Divergence and Curl of Electric Field01:25

Divergence and Curl of Electric Field

5.7K
The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from the positive charge and converges at the negative charge. The divergence of an electric field is derived using Gauss's law and is equal to the charge density divided by the permittivity of space. Mathematically, it is expressed as
5.7K

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

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

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

Related Experiment Video

Updated: Jul 4, 2025

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
10:39

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Published on: October 11, 2016

9.7K

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

Riccardo Borghi

    Optics Letters
    |February 1, 2024
    PubMed
    Summary
    This summary is machine-generated.

    A new algorithm models wave fields from Laguerre-Gauss beams diffracted by elliptic apertures. This computational tool enables high-accuracy studies of unexplored singular optics phenomena.

    More Related Videos

    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

    7.8K
    A Sample Preparation Pipeline for Microcrystals at the VMXm Beamline
    09:00

    A Sample Preparation Pipeline for Microcrystals at the VMXm Beamline

    Published on: June 17, 2021

    2.9K

    Related Experiment Videos

    Last Updated: Jul 4, 2025

    Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
    10:39

    Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

    Published on: October 11, 2016

    9.7K
    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

    7.8K
    A Sample Preparation Pipeline for Microcrystals at the VMXm Beamline
    09:00

    A Sample Preparation Pipeline for Microcrystals at the VMXm Beamline

    Published on: June 17, 2021

    2.9K

    Area of Science:

    • Optics and Photonics
    • Computational Physics
    • Wave Phenomena

    Background:

    • Laguerre-Gauss beams are fundamental in optical research.
    • Diffraction by apertures is a key phenomenon in wave physics.
    • Singular optics presents unique and underexplored wave behaviors.

    Purpose of the Study:

    • To develop a semi-analytical computational algorithm for modeling paraxial diffraction.
    • To investigate the wave field generated by Laguerre-Gauss beams interacting with sharp-edge elliptic apertures.
    • To enable accurate studies of singular optics within a simplified geometric framework.

    Main Methods:

    • Development of a semi-analytical computational algorithm.
    • Modeling of paraxial diffraction.
    • Simulation of Laguerre-Gauss beam propagation through elliptic apertures.

    Main Results:

    • The algorithm accurately models the wave field.
    • It allows for high-accuracy analysis of diffraction patterns.
    • The study facilitates the exploration of singular optics.

    Conclusions:

    • The developed algorithm is a powerful tool for singular optics research.
    • It enables precise investigation of beam diffraction by elliptic apertures.
    • This work opens new avenues for studying unexplored optical phenomena.