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Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes
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Moiré patterns in non-parallel surfaces such as wedge.

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    This study analyzes the moiré effect on 3D objects with flat surfaces. Researchers derived formulas for moiré patterns on inclined surfaces, aiding in precise flat surface alignment.

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    Area of Science:

    • Optics and Photonics
    • 3D Metrology
    • Surface Science

    Background:

    • The moiré effect, typically observed with 2D gratings, is explored in the context of 3D objects.
    • Understanding moiré patterns is crucial for applications involving surface inspection and alignment.
    • Previous research has primarily focused on 2D grating interactions.

    Purpose of the Study:

    • To investigate and quantify the moiré effect generated by 3D objects possessing planar facets.
    • To develop theoretical models for predicting moiré pattern characteristics on inclined surfaces.
    • To establish a foundation for utilizing moiré patterns in the precise alignment of flat surfaces.

    Main Methods:

    • Theoretical derivation of the projected period for inclined periodic gratings.
    • Formulation of moiré period equations for objects with arbitrarily oriented planar facets (parallelepipeds, prisms).
    • Experimental observation and validation of theoretical predictions, including the direction of longest moiré patterns in wedges.

    Main Results:

    • The projected period of inclined gratings was successfully determined.
    • A general formula for the moiré pattern period on inclined plain surfaces was established.
    • Theoretical similarity between projected and moiré periods was demonstrated.
    • The direction of the longest moiré pattern in a wedge was theoretically predicted and experimentally confirmed.

    Conclusions:

    • The study provides a comprehensive theoretical framework for understanding moiré effects on 3D objects with planar facets.
    • The derived formulas offer practical tools for analyzing and predicting moiré patterns in complex geometries.
    • The findings have direct implications for improving alignment techniques in applications requiring high precision with flat surfaces.