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Related Concept Videos

Deflection of a Beam01:19

Deflection of a Beam

794
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...
794

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Related Experiment Video

Updated: Feb 20, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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Segmented Bessel beams.

Angelina Müller, Matthias C Wapler, Ulrike Wallrabe

    Optics Express
    |October 19, 2017
    PubMed
    Summary
    This summary is machine-generated.

    Researchers developed a scale-invariant model to predict the shortest segmented Bessel beam length. This analytical estimate, using wavelength and axicon angle, was confirmed by simulations and experiments.

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    Area of Science:

    • Optics and Photonics
    • Beam Physics

    Background:

    • Bessel beams are known for their non-diffracting properties.
    • Segmented Bessel beams offer controlled propagation characteristics.

    Purpose of the Study:

    • To derive an analytical model for predicting the minimum segment length of Bessel beams.
    • To investigate the influence of ring aperture size on beam segmentation.

    Main Methods:

    • Utilized an axicon illuminated by a plane wave with varying ring apertures.
    • Developed a scale-invariant analytical model incorporating dimensionless parameters (wavelength, axicon angle).
    • Verified the model through numerical simulations and experimental measurements.

    Main Results:

    • An accurate analytical estimate for the shortest possible beam segment was determined.
    • The model shows good agreement with simulation and experimental data.
    • The study explored aperture sizes from the Fraunhofer diffraction limit to the classical limit.

    Conclusions:

    • The derived scale-invariant model effectively predicts segmented Bessel beam characteristics.
    • This research provides a method for controlling and understanding segmented Bessel beams.