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Implementation of a Reference Interferometer for Nanodetection
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Linear approximation for measurement errors in phase shifting interferometry.

J van Wingerden, H J Frankena, C Smorenburg

    Applied Optics
    |August 12, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study quantifies measurement errors in phase shifting interferometry (PSI) using linear approximation. It details how system errors impact PSI accuracy and offers strategies for error reduction through formula selection.

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    Area of Science:

    • Optical Metrology
    • Interferometry
    • Measurement Science

    Background:

    • Phase Shifting Interferometry (PSI) is a key technique for high-precision surface measurement.
    • Understanding and quantifying systematic errors is crucial for reliable PSI results.
    • Existing models may not fully capture the impact of various error sources on PSI accuracy.

    Purpose of the Study:

    • To develop a linear approximation model for describing measurement errors in PSI.
    • To analyze the impact of specific system errors on common PSI algorithms.
    • To provide guidance on selecting PSI formulas for minimizing measurement inaccuracies.

    Main Methods:

    • Linear approximation analysis of PSI measurement errors.
    • Modeling of systematic errors including light source instability, phase shifting errors, vibrations, and detector nonlinearities/quantization.
    • Calculation of measurement inaccuracies for standard PSI formulas.

    Main Results:

    • Quantified measurement errors in PSI due to various system imperfections under linear approximation.
    • Presented results in tabular format for practical error magnitude estimation.
    • Identified specific PSI formulas that are more robust to certain error types.

    Conclusions:

    • Linear approximation provides accurate descriptions of PSI measurement errors.
    • Systematic errors significantly affect PSI accuracy, with varying impacts depending on the algorithm.
    • Strategic selection of phase calculation formulas can effectively reduce measurement errors in PSI systems.