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3D optical two-mirror scanner with focus-tunable lens.

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    This study introduces formulas for ray tracing in a two-mirror optical scanner with a focus-tunable lens. It provides equations for calculating focal length and its uncertainty for precise beam focusing.

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    Area of Science:

    • Optics
    • Optical Engineering
    • Instrumentation

    Background:

    • Optical scanners are crucial for various applications requiring precise beam manipulation.
    • Focus-tunable lenses offer dynamic control over optical systems.
    • Accurate ray tracing and focal length calculation are essential for scanner performance.

    Purpose of the Study:

    • To develop formulas for ray tracing in a two-mirror optical scanner system.
    • To derive equations for calculating the focal length of a focus-tunable lens for precise beam focusing.
    • To describe the uncertainty associated with the calculated focal length.

    Main Methods:

    • A vector approach was employed for general applicability.
    • Formulas for ray tracing in the specified optical system were derived.
    • Equations for focal length calculation and uncertainty were established.
    • Mirror rotations were determined based on detection plane coordinates.

    Main Results:

    • General formulas for ray tracing in a two-mirror optical scanner with a focus-tunable lens were presented.
    • Equations for determining the focal length to achieve desired focusing were derived.
    • The uncertainty in focal length calculation was quantified.
    • The methodology allows for application in various optical system configurations.

    Conclusions:

    • The derived formulas provide a robust method for analyzing and designing two-mirror optical scanners with focus-tunable lenses.
    • The vector approach ensures the generalizability of the formulas across different optical system setups.
    • Accurate focal length determination and uncertainty analysis are critical for achieving precise beam focusing in detection planes.