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Related Experiment Video

Updated: Feb 16, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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Spatially separated heterodyne grating interferometer for eliminating periodic nonlinear errors.

Xu Xing, Di Chang, Pengcheng Hu

    Optics Express
    |December 17, 2017
    PubMed
    Summary
    This summary is machine-generated.

    A new spatially separated heterodyne grating interferometer eliminates periodic nonlinear errors. This advancement improves resolution in precision measurement systems by reducing errors to below 0.086 nm.

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    Area of Science:

    • Optics and Photonics
    • Metrology
    • Interferometry

    Background:

    • Periodic nonlinear errors from frequency mixing limit heterodyne grating interferometer resolution.
    • These errors are a significant challenge in high-precision measurement applications.

    Purpose of the Study:

    • To propose and validate a novel spatially separated heterodyne grating interferometer.
    • To effectively eliminate periodic nonlinear errors in interferometric measurements.

    Main Methods:

    • A spatially separated heterodyne grating interferometer design utilizing two fibers to transfer modulated beams with different frequencies.
    • Comparison experiments conducted in both time and frequency domains.
    • Frequency-spectrum analysis to quantify error reduction.

    Main Results:

    • The proposed interferometer successfully mitigates periodic nonlinear errors.
    • Frequency-spectrum analysis confirmed errors were reduced to a maximum of 0.086 nm.
    • Experimental validation demonstrated the system's effectiveness.

    Conclusions:

    • The spatially separated heterodyne grating interferometer is an effectual solution for eliminating periodic nonlinear errors.
    • This method significantly enhances the potential for higher resolution in grating interferometry.
    • The study provides a viable approach for improving the accuracy of optical measurement systems.