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

Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

330
The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
The M/EI...
330
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

306
Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
306
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

9.1K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
9.1K
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

8.8K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a...
8.8K
Gauss's Law01:07

Gauss's Law

9.0K
If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
9.0K
Deflection of a Beam01:19

Deflection of a Beam

556
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
556

You might also read

Related Articles

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

Sort by
Same author

Bessel beams with perfect properties.

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

Ternary logic in the optical controlled-SWAP gate based on Laguerre-Gaussian modes of light.

Optics express·2024
Same author

Differences between the geometric phase and propagation phase: clarifying the boundedness problem.

Applied optics·2024
Same author

Deciphering Pancharatnam's discovery of geometric phase: retrospective.

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

Wave description of geometric phase.

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

Customizing structured light beams with a differential operator.

Optics letters·2021

Related Experiment Video

Updated: Dec 9, 2025

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

22.3K

Perfect Laguerre-Gauss beams.

Job Mendoza-Hernández, Maribel Hidalgo-Aguirre, Adriana Inclán Ladino

    Optics Letters
    |September 15, 2020
    PubMed
    Summary
    This summary is machine-generated.

    Researchers introduce a novel method to create perfect vortex beams (PVBs) using modified Laguerre-Gauss beams (LGBs). This approach offers enhanced stability and control over beam characteristics, paving the way for advanced optical applications.

    More Related Videos

    A Technical Guide for Performing Spectroscopic Measurements on Metal-Organic Frameworks
    10:13

    A Technical Guide for Performing Spectroscopic Measurements on Metal-Organic Frameworks

    Published on: April 28, 2023

    2.8K
    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
    08:39

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

    Published on: January 28, 2019

    10.2K

    Related Experiment Videos

    Last Updated: Dec 9, 2025

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
    12:14

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

    Published on: August 12, 2013

    22.3K
    A Technical Guide for Performing Spectroscopic Measurements on Metal-Organic Frameworks
    10:13

    A Technical Guide for Performing Spectroscopic Measurements on Metal-Organic Frameworks

    Published on: April 28, 2023

    2.8K
    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
    08:39

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

    Published on: January 28, 2019

    10.2K

    Area of Science:

    • Optics and Photonics
    • Laser Physics

    Background:

    • Perfect vortex beams (PVBs) are characterized by intensity distributions invariant to topological charge.
    • Generating ideal PVBs with stable properties remains a challenge in optical physics.

    Purpose of the Study:

    • To propose an alternative formulation for generating PVBs.
    • To introduce a modified Laguerre-Gauss beam (LGB) that mimics PVB features, termed the perfect LGB (PLGB).

    Main Methods:

    • Utilizing the established connection between Bessel beams and LGBs.
    • Formulating a modified LGB to emulate the properties of PVBs.
    • Leveraging paraxial wave optics for theoretical development.

    Main Results:

    • The proposed perfect LGB (PLGB) demonstrates improved stability in ring radius and width compared to ideal PVBs.
    • The number of rings in the PLGB can be controlled by the order of the Laguerre polynomial.
    • An outer ring independent of topological charge was observed in the PLGB.

    Conclusions:

    • The PLGB offers a more robust and controllable approximation to ideal PVBs.
    • The paraxial nature of the PLGB facilitates experimental realization, for instance, with spatial light modulators.
    • This work provides a new avenue for generating and manipulating structured light beams.