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Related Concept Videos

Determination of Crystal Structures01:29

Determination of Crystal Structures

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...
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...

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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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Measuring concave diffraction grating efficiencies at grazing incidence.

W R Hunter, D K Prinz

    Applied Optics
    |February 23, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Measuring concave diffraction grating efficiency is challenging due to aberrations and overlapping orders. Ray tracing reveals how aberrations spread diffracted beams, impacting accurate efficiency measurements.

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    Area of Science:

    • Optics and Photonics
    • Spectroscopy
    • Instrumental Analysis

    Background:

    • Concave diffraction gratings are crucial for spectral analysis.
    • Accurate efficiency measurements are vital for grating performance evaluation.
    • Aberrations and beam overlap complicate efficiency determination, especially at grazing incidence.

    Purpose of the Study:

    • To investigate the impact of aberrations on concave diffraction grating efficiency measurements.
    • To analyze the influence of instrument geometry and incident beam characteristics on measurement validity.
    • To provide insights for optimizing measurement procedures.

    Main Methods:

    • Utilized ray tracing simulations to model beam propagation and aberration effects.
    • Analyzed the geometry of a specific reflectometer instrument at the Naval Research Laboratory.
    • Investigated the effects of incident beam divergence, f-number, and detector distance.

    Main Results:

    • Aberrations cause diffracted beams to spread in the direction of dispersion, affecting detector collection.
    • Beam spread is wavelength-dependent and influenced by the grating's horizontal focus.
    • Reducing incident beam divergence and adjusting detector distance can mitigate measurement errors.

    Conclusions:

    • Aberrations significantly impact the accuracy of concave diffraction grating efficiency measurements.
    • Optimizing instrument parameters like f-number and detector distance is essential for valid measurements.
    • Ray tracing is a valuable tool for understanding and correcting for optical aberrations in efficiency studies.