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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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Least-squares estimation in phase-measurement interferometry.

C J Morgan

    Optics Letters
    |August 29, 2009
    PubMed
    Summary
    This summary is machine-generated.

    Least-squares estimation principles enable new phase-extraction algorithms for phase-measurement interferometry. These algorithms can accurately estimate phase despite external perturbations like linear drift.

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    Area of Science:

    • Optical Metrology
    • Interferometry
    • Signal Processing

    Background:

    • Phase-measurement interferometry is crucial for precise measurements.
    • Existing phase-extraction algorithms can be sensitive to environmental disturbances.
    • Least-squares estimation offers a robust framework for data analysis.

    Purpose of the Study:

    • To develop novel phase-extraction algorithms for phase-measurement interferometry.
    • To enhance algorithm robustness against external perturbations.
    • To demonstrate an algorithm capable of handling linear time-dependent drift.

    Main Methods:

    • Formulating phase-extraction algorithms based on the principle of least-squares estimation.
    • Developing algorithms to estimate phase in the presence of perturbations.
    • Illustrating the approach with an algorithm for linear time-dependent drift.

    Main Results:

    • Phase-extraction algorithms can be effectively derived from least-squares estimation.
    • The least-squares approach allows for the development of perturbation-robust algorithms.
    • A specific algorithm successfully extracts phase in the presence of linear drift.

    Conclusions:

    • Least-squares estimation provides a powerful foundation for phase-extraction algorithm development.
    • The proposed method enhances the reliability of phase measurements in dynamic environments.
    • This approach offers a pathway to more accurate interferometric measurements under challenging conditions.