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Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
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Pointing error analysis of Risley-prism-based beam steering system.

Yuan Zhou, Yafei Lu, Mo Hei

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    Summary
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    This study quantifies pointing errors in Risley-prism beam steering systems using vector Snell's law. Assembly errors in the second prism significantly impact pointing accuracy, guiding practical system design.

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    Area of Science:

    • Optics and Photonics
    • Optical Engineering
    • Beam Steering Systems

    Background:

    • Risley prisms are crucial for beam steering applications.
    • Component, orientation, and assembly errors can degrade pointing accuracy.
    • Quantifying these errors is essential for system performance.

    Purpose of the Study:

    • To develop a method for quantifying pointing errors in Risley-prism systems.
    • To analyze the impact of various error sources on beam pointing accuracy.
    • To provide a theoretical basis for error allowance in practical designs.

    Main Methods:

    • Vector form of Snell's law was applied.
    • Ray tracing techniques were employed for error quantification.
    • Case examples were analyzed to illustrate error distributions.

    Main Results:

    • Assembly errors in the second prism cause more significant pointing errors than the first.
    • Pointing errors due to prism tilt are direction-dependent.
    • Allowances for bearing tilt and prism tilt are comparable for a set pointing accuracy.

    Conclusions:

    • The study provides a theoretical foundation for understanding and mitigating pointing errors in Risley-prism systems.
    • Findings can guide the design and assembly of high-accuracy beam steering systems.
    • Error analysis is critical for achieving desired pointing precision in optical systems.