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

Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

9.3K
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...
9.3K
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

380
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...
380
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

9.0K
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...
9.0K
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

9.3K
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
9.3K
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

402
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...
402
Gauss's Law01:07

Gauss's Law

9.4K
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.
9.4K

You might also read

Related Articles

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

Sort by
Same author

Marcum-Q correlated optical fields.

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

Influence of Nanobubbles on the Early Stages of Calcium Carbonate Formation.

Crystal growth & design·2025
Same author

Single-hologram generation of vector beams using a digital micromirror device.

Optics letters·2025
Same author

Hybrid Hermite-Laguerre-Gaussian vector modes.

Optics letters·2025
Same author

Parabolic-accelerating vector waves.

Nanophotonics (Berlin, Germany)·2024
Same author

Plasma-based optical fiber tapering rig.

HardwareX·2024
Same journal

Correction: A method for supervoxel-wise association studies of age and other non-imaging variables from coronary computed tomography angiograms.

Scientific reports·2026
Same journal

Poly(bromophenol blue)/CoSn(OH)<sub>6</sub> cubic particles modified pencil graphite electrode for electrochemical determination of diphenhydramine.

Scientific reports·2026
Same journal

Dietary Chlorella, Spirulina, and acidifier modulate jejunal cytokine-related gene expression in broiler chickens.

Scientific reports·2026
Same journal

Perceived physical activity barriers in university students: associations with fatigue and eating behaviours.

Scientific reports·2026
Same journal

Refuge limitation structures habitat use in agricultural landscapes: evidence from Sunda pangolins.

Scientific reports·2026
Same journal

Lightweight stateless transaction verification with outsourced witness updates for UTXO blockchains.

Scientific reports·2026
See all related articles

Related Experiment Video

Updated: Jan 14, 2026

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

22.4K

Partially coherent Mathieu-Gauss beams.

Atefeh Akbarpour1,2, Adad Yepiz1, Benjamin Perez-Garcia1

  • 1Escuela de Ingeniería y Ciencias, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501 Sur, Monterrey, N.L., Mexico, 64700.

Scientific Reports
|October 22, 2025
PubMed
Summary
This summary is machine-generated.

Researchers generated partially coherent Mathieu-Gauss beams with controllable properties. These beams maintain structural integrity during propagation, showing promise for optical communications and imaging applications.

More Related Videos

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

10.1K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.6K

Related Experiment Videos

Last Updated: Jan 14, 2026

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

22.4K
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

10.1K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.6K

Area of Science:

  • Optics and Photonics
  • Quantum Optics

Background:

  • Structured light beams, such as Mathieu-Gauss (MG) beams, are crucial in various optical applications.
  • Controlling the spatial coherence and polarization properties of these beams is essential for advanced applications.

Purpose of the Study:

  • To theoretically study and experimentally generate Mathieu-Gauss beams in the partially coherent regime.
  • To demonstrate independent control over spatial coherence and ellipticity of MG beams.
  • To investigate the coherence structure and propagation characteristics of these beams.

Main Methods:

  • Utilized a rotating ground glass diffuser and a spatial light modulator for beam generation and control.
  • Employed the cross-correlation function, a specific form of cross-spectral density, for characterizing coherence.
  • Analyzed the intensity profiles and coherence properties during propagation.

Main Results:

  • Achieved independent control over spatial coherence and ellipticity of partially coherent MG beams.
  • Observed that partially coherent MG beams retain structural features in their cross-correlation function despite intensity profile degradation.
  • Demonstrated near-invariance of the cross-spectral density during propagation.

Conclusions:

  • Partially coherent Mathieu-Gauss beams possess robust structural features beneficial for propagation through complex media.
  • These beams offer significant potential for applications in free-space optical communications and imaging through inhomogeneous media.
  • The findings advance the fundamental understanding of partially coherent structured beams and their applications in quantum optics, optical trapping, and beam shaping.