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Related Concept Videos

Deflection of a Beam01:19

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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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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.
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Related Experiment Video

Updated: May 2, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Airy-like beam transverse acceleration control by rainbow effect.

Hongchang Deng, Libo Yuan

    Optics Letters
    |February 25, 2014
    PubMed
    Summary

    We demonstrate control over Airy-like beam transverse acceleration using incomplete Airy waveguides and the rainbow effect. Slight wavelength changes significantly alter beam acceleration, offering new control possibilities.

    Area of Science:

    • * Photonics and Wave Optics
    • * Nonlinear Optics and Beam Propagation

    Background:

    • * Airy beams exhibit unique self-healing and non-diffracting properties.
    • * Controlling transverse acceleration is crucial for beam shaping and applications.
    • * Rainbow effect in optics describes wavelength-dependent spatial separation.

    Purpose of the Study:

    • * To numerically analyze transverse acceleration control of Airy-like beams.
    • * To investigate the influence of incident wavelength on beam acceleration.
    • * To explore the application of the rainbow effect for wavelength-dependent beam control.

    Main Methods:

    • * Numerical simulations of Airy-like beam propagation in incomplete Airy waveguides.
    • * Analysis of beam transverse acceleration under varying incident wavelengths (10 nm increments).

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  • * Utilizing the rainbow phenomenon to study wavelength-specific beam behavior.

    • Main Results:

    • * Airy-like beams show significant changes in transverse acceleration with minor wavelength variations.
    • * The rainbow effect effectively separates and influences beam propagation based on wavelength.
    • * Equivalent initial launch angle provides an explanatory framework for observed accelerations.

    Conclusions:

    • * Transverse acceleration of Airy-like beams can be precisely controlled via incident wavelength.
    • * Incomplete Airy waveguides and the rainbow effect offer a viable method for this control.
    • * Findings pave the way for advanced optical beam manipulation techniques.