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Related Concept Videos

Deflection of a Beam01:19

Deflection of a Beam

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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.
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Distributed Loads: Problem Solving01:21

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Beams are structural elements commonly employed in engineering applications requiring different load-carrying capacities. The first step in analyzing a beam under a distributed load is to simplify the problem by dividing the load into smaller regions, which allows one to consider each region separately and calculate the magnitude of the equivalent resultant load acting on each portion of the beam. The magnitude of the equivalent resultant load for each region can be determined by calculating...
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Prismatic Beams: Problem Solving01:15

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In the design of a supported timber beam subjected to a distributed load, both the beam's physical dimensions and the timber's characteristics, such as its grade and species, are critical. These factors determine the allowable stress values, which are crucial for calculating the necessary beam depth to ensure structural integrity and safety.
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Elastic Curve from the Load Distribution01:16

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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.
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Beams with Unsymmetric Loadings01:17

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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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The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
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Scattering And Absorption of Light in Planetary Regoliths
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Implementation of typical structured light beams in discrete dipole approximation for scattering problems.

Yuanfei Hui, Zhiwei Cui, Yiping Han

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |October 10, 2022
    PubMed
    Summary

    This study implements structured light beams, including Gaussian, Bessel, and Airy beams, within the discrete dipole approximation (DDA) for light scattering by small particles. The developed codes accurately simulate light interactions with various particle shapes.

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    Area of Science:

    • Computational physics
    • Optics
    • Nanophotonics

    Background:

    • Structured light beams offer unique properties for light-matter interactions.
    • The discrete dipole approximation (DDA) is a versatile method for simulating light scattering from small particles.
    • Implementing diverse light fields in DDA is crucial for advanced scattering studies.

    Purpose of the Study:

    • To implement various structured light beams (Hermite-Gaussian, Laguerre-Gaussian, Bessel, Airy) in the discrete dipole approximation (DDA).
    • To provide analytical expressions and explicit codes for these structured light beams within DDA.
    • To validate the implementation by comparing results with existing DDA codes and to analyze scattering by different particle geometries.

    Main Methods:

    • Analytical derivation of electric field components for structured light beams.
    • Development of explicit computational codes for integrating these beams into the DDA framework.
    • Validation against established DDA codes (e.g., Amsterdam DDA) for Gaussian beams.
    • Numerical simulations of light scattering by spheres, spheroids, and cylinders using implemented structured light beams.

    Main Results:

    • Successful implementation of Hermite-Gaussian, Laguerre-Gaussian, Bessel, and Airy beams in DDA.
    • Demonstrated agreement between the developed codes and existing DDA implementations for Gaussian beams.
    • Illustrated internal and near-surface fields for a sphere under structured light illumination.
    • Presented scattering efficiency factors and intensity distributions for various particle shapes and structured light beams.

    Conclusions:

    • The developed DDA framework effectively incorporates diverse structured light beams for scattering simulations.
    • The validated codes provide a powerful tool for investigating light scattering by complex particles with structured light.
    • This work facilitates advanced studies in areas like optical trapping, sensing, and nanophotonics.