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Related Concept Videos

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...
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A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by creating...

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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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Multiple-beam lateral shear interferometry for optical testing.

R S Sirohi, T Eiju, K Matsuda

    Applied Optics
    |November 6, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Lateral shear interferometry visualizes lens aberrations. A wedge-plate interferometer

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    Area of Science:

    • Optical metrology
    • Lens aberration analysis

    Background:

    • Lateral shear interferometry is a technique for measuring lens aberrations.
    • Interferograms from wedge-plate lateral shear interferometers contain information about lateral aberrations.

    Purpose of the Study:

    • To demonstrate that the zeroth-order fringe in a wedge-plate lateral shear interferogram directly displays the lateral aberration curve of a test lens.
    • To explain the appearance of artifacts in interferograms with large shear.

    Main Methods:

    • Utilizing lateral shear interferometry with a wedge-plate.
    • Employing multiple-beam interferometry to sharpen fringes.
    • Analyzing interferograms for lateral aberration curves and artifacts.

    Main Results:

    • The zeroth-order fringe directly represents the lateral aberration curve.
    • Multiple-beam interferometry sharpens fringes for small shear, improving clarity.
    • New artifacts emerge in interferograms when shear is large.

    Conclusions:

    • Lateral shear interferometry, particularly with multiple beams, is effective for sharp display of lateral aberration curves.
    • Understanding artifacts is crucial for accurate interpretation of interferograms with large shear.