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In the site survey of a four-sided traverse, internal angles are essential to ensure geometric accuracy. The survey revealed that the sum of the measured internal angles was 359 degrees and 48 minutes, which is 12 minutes less than the expected 360 degrees. This discrepancy signals an error likely arising from measurement inaccuracies during the fieldwork.To rectify this error, the adjustment process involved distributing the 12-minute shortfall equally across the four internal angles. By...
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Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
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Angle measurement accuracy requirement analysis for the relative angle determinable stitching interferometry (RADSI).

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    Simulations clarify angle measurement error (AME) impact on X-ray mirror testing using relative angle determinable stitching interferometry (RADSI). Optimized parameters and AME requirements were determined for accurate X-ray mirror metrology.

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    Area of Science:

    • Optics and Metrology
    • Materials Science and Engineering
    • X-ray Optics

    Background:

    • Relative Angle Determinable Stitching Interferometry (RADSI) is crucial for X-ray mirror testing.
    • Specific angle measurement accuracy (AME) requirements for X-ray mirrors are often unclear.
    • Understanding AME's influence is vital for achieving precise metrology.

    Purpose of the Study:

    • To clarify the impact of different order terms of angular measurement errors (AME) on RADSI measurement accuracy.
    • To optimize stitching parameters for enhanced RADSI performance.
    • To define specific AME requirements for testing X-ray flat mirrors.

    Main Methods:

    • Conducted simulations to analyze the influence of AME on RADSI measurement error.
    • Utilized practical AME repeatability data as input error.
    • Optimized stitching parameters (sub-aperture length, overlap ratio) for improved accuracy.
    • Analyzed AME requirements for a 300 mm X-ray flat mirror with specific tolerance criteria.

    Main Results:

    • Quantified the influence of different order terms of AME on RADSI measurement error.
    • Determined optimal stitching parameters for higher RADSI measurement accuracy.
    • Established specific AME requirements: <940 nrad/h PV for the linear term and <96 nrad/5 h PV for non-linear terms.
    • Proposed strategies for reducing AME based on sensitivity analysis.

    Conclusions:

    • The study provides a framework for determining AME requirements for specific X-ray mirror testing.
    • Optimized RADSI parameters and AME specifications enhance measurement accuracy.
    • Proposed AME reduction strategies contribute to improved X-ray optic metrology.