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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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Plane Electromagnetic Waves I01:30

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The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
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Singularity Functions for Bending Moment01:18

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Singularity functions simplify the representation of bending moments in beams subjected to discontinuous loading, allowing the use of a single mathematical expression. For a supported beam AB, with uniform loading from its midpoint M to the right side end B, the approach involves conceptual 'cuts' at specific points to determine the bending moment in each segment. By cutting the beam at a point between A and M, the bending moment for the segment before reaching midpoint M is represented...
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Beams with Symmetric Loadings01:15

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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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Bending of Curved Members - Neutral Surface01:16

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In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
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Electromagnetic waves can be reflected; the surface of a conductor or a dielectric can act as a reflector. As electric and magnetic fields obey the superposition principle, so do electromagnetic waves. The superposition of an incident wave and a reflected electromagnetic wave produces a standing wave analogous to the standing waves created on a stretched string.
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Related Experiment Video

Updated: Sep 11, 2025

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

Job Mendoza-Hernández

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |August 12, 2025
    PubMed
    Summary
    This summary is machine-generated.

    Bessel beams exhibit properties similar to perfect vortex beams, maintaining a stable central ring radius and width across various orbital angular momentums. This finding suggests potential applications in optical communications.

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    Area of Science:

    • Optical physics
    • Quantum optics
    • Photonics

    Background:

    • Vortex beams are crucial in optical communications and microscopy.
    • Bessel beams are known for their non-diffracting properties.
    • Perfect vortex beams possess ideal characteristics for specific applications.

    Purpose of the Study:

    • To investigate the properties of Bessel beams concerning their central ring radius and width.
    • To explore the relationship between Bessel beams and Laguerre-Gauss (LG) beams.
    • To compare Bessel beams with perfect vortex and perfect-LG beams.

    Main Methods:

    • Theoretical analysis of Bessel beam properties.
    • Comparison of radial wave components and beam waist.
    • Mathematical formulation of beam characteristics.

    Main Results:

    • Bessel beams demonstrate quasi-constant central ring radius and width for varying orbital angular momentums.
    • A relationship between Bessel and Laguerre-Gauss (LG) beams is established in the paraxial approximation.
    • Bessel beams exhibit properties analogous to perfect vortex beams.

    Conclusions:

    • Bessel beams can be engineered to possess characteristics similar to perfect vortex beams.
    • The findings suggest experimental generation of these beams using spatial light modulators.
    • Potential applications in optical communications are highlighted.