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Related Concept Videos

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...
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...
Impact Loading on a Cantilever Beam01:13

Impact Loading on a Cantilever Beam

The analysis of a cantilever beam with a circular cross-section subjected to impact loading at its free end illustrates the conversion of potential energy from a dropped object into kinetic energy, which is then absorbed by the beam as strain energy. This process is crucial for understanding how materials behave under dynamic loads, which is important in fields such as construction and aerospace.
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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.
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Updated: Jun 5, 2026

Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces
09:33

Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces

Published on: June 7, 2019

Dual Airy beam.

Chi-Young Hwang1, Dawoon Choi, Kyoung-Youm Kim

  • 1National Creative Research Center for Active Plasmonics Application Systems Inter-University Semiconductor Research Center and School of Electrical Engineering Seoul National University, Gwanak-Gu Gwanakro 599, Seoul 151-744, Korea.

Optics Express
|December 18, 2010
PubMed
Summary
This summary is machine-generated.

Researchers developed novel dual and quad Airy beams with symmetric patterns and enhanced self-regeneration. These optical beams offer controllable propagation, promising diverse applications in optics and photonics.

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Related Experiment Videos

Last Updated: Jun 5, 2026

Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces
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Published on: June 7, 2019

Active Probe Atomic Force Microscopy with Quattro-Parallel Cantilever Arrays for High-Throughput Large-Scale Sample Inspection
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Area of Science:

  • Optics and Photonics
  • Wave Mechanics

Background:

  • Airy beams are non-diffracting optical beams with unique propagation dynamics.
  • Controlling the properties and applications of optical beams is a key research area.

Purpose of the Study:

  • To derive a general form of Airy wave function satisfying the paraxial equation of diffraction.
  • To propose novel 'dual' and 'quad' Airy beams with enhanced properties and controllability.

Main Methods:

  • Derivation of a generalized Airy wave function.
  • Superposition of symmetrical Airy beams to create dual and quad configurations.
  • Analysis of beam properties including transverse intensity patterns and self-regeneration.

Main Results:

  • A general Airy wave function satisfying the paraxial diffraction equation was derived.
  • A 'dual' Airy beam with symmetric intensity and improved self-regeneration was proposed.
  • A 'quad' Airy beam forming a rectangular optical array with controllable propagation was demonstrated.

Conclusions:

  • The proposed dual and quad Airy beams exhibit unique controllable properties.
  • These novel optical beam configurations are expected to find applications in various scientific fields.
  • The ability to control propagation direction without altering transverse patterns is a significant advancement.