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Related Concept Videos

X-ray Crystallography02:18

X-ray Crystallography

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.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
Determination of Crystal Structures01:29

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In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...

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Related Experiment Video

Updated: Jun 9, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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Published on: August 12, 2013

Method for accurate optical alignment using diffraction rings from lenses with spherical aberration.

R B Gwynn, D A Christensen

    Applied Optics
    |September 8, 2010
    PubMed
    Summary
    This summary is machine-generated.

    A novel alignment method uses spherical lens aberrations to precisely align optical elements. By observing coinciding diffraction rings, this technique ensures accurate common-axis alignment for optical systems.

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    Area of Science:

    • Optical engineering
    • Metrology
    • Diffraction physics

    Background:

    • Accurate alignment of optical elements is critical for system performance.
    • Spherical aberration in lenses can be a source of error or a tool for measurement.
    • Existing alignment methods may lack precision or require complex setups.

    Purpose of the Study:

    • To present a new alignment method utilizing spherical aberration.
    • To demonstrate the precise alignment of multiple optical elements to a common axis.
    • To validate a model of spherical aberration for alignment applications.

    Main Methods:

    • Exploiting concentric fringes in the longitudinal spherical aberration region of positive spherical lenses.
    • Attaching spherical lenses to optical elements and observing coinciding diffraction rings.
    • Modeling lens spherical aberration via diffraction patterns of plane waves through annular apertures.

    Main Results:

    • The presented method effectively aligns optical elements to a common axis.
    • The model accurately predicts diffraction patterns, validated by experimental data.
    • The technique proved accurate for a prototype penumbral imaging alignment system.

    Conclusions:

    • The described alignment method offers a precise and potentially simpler approach for optical systems.
    • The validated model enhances understanding and application of spherical aberration in metrology.
    • This technique has practical applications in advanced optical system development, such as at national laboratories.