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Related Experiment Video

Updated: Jun 12, 2026

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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Sawtooth profile fringes with a two-grating interferometer.

H Chen, R R Hershey, E N Leith

    Applied Optics
    |June 10, 2010
    PubMed
    Summary
    This summary is machine-generated.

    A new theory explains fringe formation in interferometers, focusing on sawtooth patterns. Two synthesis methods are presented using spatially or temporally incoherent light for coherent or incoherent fringe generation, respectively.

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    Last Updated: Jun 12, 2026

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    Published on: August 12, 2013

    Area of Science:

    • Optics and Photonics
    • Interferometry
    • Diffractive Optics

    Background:

    • Interferometers are crucial for precise measurements.
    • Controlling fringe profiles is essential for advanced optical applications.
    • Existing methods for fringe synthesis have limitations.

    Purpose of the Study:

    • To develop a comprehensive theory for fringe formation with arbitrary profiles in two-grating interferometers.
    • To emphasize the synthesis of sawtooth profile fringes.
    • To present novel methods for fringe synthesis.

    Main Methods:

    • Development of a theoretical framework for fringe formation.
    • Utilizing spatially incoherent illumination for coherent fringe synthesis.
    • Employing temporally incoherent (polychromatic) illumination for incoherent fringe synthesis.

    Main Results:

    • A generalized theory for fringe formation of arbitrary profiles is established.
    • Sawtooth profile fringes are specifically addressed and synthesized.
    • Two distinct methods enabling coherent and incoherent fringe synthesis are demonstrated.

    Conclusions:

    • The developed theory provides a robust foundation for understanding and controlling fringe formation.
    • The presented methods offer versatile approaches for generating specific fringe profiles.
    • This work advances the capabilities of two-grating interferometers for various optical applications.