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

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...
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

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...
Rotational Motion about a Fixed Axis01:26

Rotational Motion about a Fixed Axis

A rigid body's rotation around a fixed axis makes every point within it trace a circular path around a specific line or point. The term given to this type of spinning is defined by the angular position, symbolized by the angle θ. This angle is gauged from a static reference line to the revolving object. From this angular position, any variation is referred to as angular displacement, denoted by dθ. The extent of this displacement can be calculated in degrees, radians, or revolutions, where one...
Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's first...
Deflection of a Beam01:19

Deflection of a Beam

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...
Beams01:30

Beams

Beams are integral components of structural engineering and construction, designed to support loads applied at various points along their length. These long, straight members can be classified based on geometry, cross-section, support type, and equilibrium condition.
Based on geometry, beams can be straight, tapered, or curved. Straight beams are the most common type and have a constant cross-section throughout their length. Tapered beams, on the other hand, have a varying cross-section along...

You might also read

Related Articles

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

Sort by
Same author

Polaritonic quantum matter.

Nanophotonics (Berlin, Germany)·2025
Same author

Recent breakthroughs in digital holography, 2D/3D imaging, and holographic optical elements: introduction.

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

Recent breakthroughs in digital holography, 2D/3D imaging, and holographic optical elements: introduction.

Applied optics·2025
Same author

Deterministic Generation of Photonic Entangled States Using Decoherence-Free Subspaces.

Physical review letters·2025
Same author

Recent breakthroughs in digital holography, 2D/3D imaging, and holographic optical elements: introduction.

Biomedical optics express·2025
Same author

Speckle-Based Transmission and Dark-Field Imaging for Material Analysis with a Laboratory X-Ray Source.

Sensors (Basel, Switzerland)·2025
Same journal

Long-term stabilization of intensity-difference squeezing from four-wave mixing in rubidium vapor.

Optics express·2026
Same journal

Robust 3D topography measurement of large-range high-aspect-ratio structures based on dual-domain statistical filtering in SD-OCT.

Optics express·2026
Same journal

Broadband transmissive terahertz metasurface for simultaneous quad-mode OAM multiplexing.

Optics express·2026
Same journal

Leveraging two-dimensional materials for high-sensitivity optical sensors: quasi-bound states in the continuum within hybrid metasurfaces.

Optics express·2026
Same journal

Resolution investigation for dual-spherical-wave optical scanning holographic microscopy: methods and performance.

Optics express·2026
Same journal

Robustness of parallel subnetwork-filtered diffractive deep neural networks.

Optics express·2026
See all related articles

Related Experiment Video

Updated: Jun 13, 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

Rotating beams in isotropic optical system.

Tatiana Alieva1, Eugeny Abramochkin, Ana Asenjo-Garcia

  • 1Universidad Complutense de Madrid, Facultad de Ciencias Físicas,Ciudad Universitaria s/n, Madrid 28040, Spain. talieva@fis.ucm.es

Optics Express
|April 15, 2010
PubMed
Summary
This summary is machine-generated.

We present a simple method to generate paraxial beams with anisotropic phase space rotation in isotropic optical systems. This method encompasses spiral beams and is demonstrated via numerical simulations.

More Related Videos

High-speed Continuous-wave Stimulated Brillouin Scattering Spectrometer for Material Analysis
07:55

High-speed Continuous-wave Stimulated Brillouin Scattering Spectrometer for Material Analysis

Published on: September 22, 2017

Related Experiment Videos

Last Updated: Jun 13, 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

High-speed Continuous-wave Stimulated Brillouin Scattering Spectrometer for Material Analysis
07:55

High-speed Continuous-wave Stimulated Brillouin Scattering Spectrometer for Material Analysis

Published on: September 22, 2017

Area of Science:

  • Optics and Photonics
  • Mathematical Physics

Background:

  • Paraxial beam propagation is fundamental in optical system design.
  • Anisotropic phase space transformations offer novel beam manipulation capabilities.
  • Spiral beams are a known class of beams with unique rotational properties.

Purpose of the Study:

  • To introduce a straightforward method for generating paraxial beams exhibiting anisotropic rotation.
  • To demonstrate that spiral beams are a specific instance of these newly proposed beams.
  • To numerically investigate the propagation of these beams through a symmetric fractional Fourier transformer.

Main Methods:

  • Utilizing the ray transformation matrix formalism for beam analysis.
  • Developing a generalized approach for anisotropic phase space rotation.
  • Employing numerical simulations to model beam propagation.

Main Results:

  • A simple method for generating paraxial beams with anisotropic phase space rotation has been successfully developed.
  • The proposed method provides a unified framework that includes spiral beams as a special case.
  • Numerical simulations confirmed the predicted propagation dynamics through a symmetric fractional Fourier transformer.

Conclusions:

  • The proposed method offers a versatile tool for engineering paraxial beams with controlled phase space dynamics.
  • This work expands the understanding of beam manipulation in isotropic optical systems.
  • The findings have potential applications in optical information processing and beam shaping.