Related Experiment Video

Updated: Jun 22, 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

The expansion coefficients of arbitrary shaped beam in oblique illumination

Yiping Han, Huayong Zhang, Guoxia Han

    Optics Express
    |June 18, 2009
    PubMed

    More Related Videos

    Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating10:39

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

    Published on: October 11, 2016

    Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station05:57

    Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station

    Published on: April 1, 2020

    Related Concept Videos

    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...
    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...
    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...
    Equation of the Elastic Curve01:23

    Equation of the Elastic Curve

    The concept of curvature in plane curves, crucial in structural engineering, defines how sharply a beam bends under load. This curvature is determined using the curve's first and second derivatives.
    Consider a cantilever beam with a point load at its free end (for instance, a diving board). When analyzing beam deflection with small slopes, the shape of the beam's elastic curve becomes key. The governing equation for this analysis involves the bending moment and the beam's flexural rigidity,...
    Elastic Curve from the Load Distribution01:16

    Elastic Curve from the Load Distribution

    The structural behavior of beams under distributed loads is critical for engineering analysis, which focuses on predicting how beams bend and react under such conditions. Different types of beams (e.g., cantilever, supported, or overhanging) behave differently under distributed load conditions.
    For all beams, the analysis of the beam's reaction to distributed loads begins by understanding the relationship between a beam's load and the resulting shear forces and bending moments. Initially, this...
    Deformations in a Transverse Cross Section01:21

    Deformations in a Transverse Cross Section

    When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
    As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...