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First-order approximation error analysis of Risley-prism-based beam directing system.

Yanyan Zhao, Yan Yuan

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    Summary
    This summary is machine-generated.

    This study presents an accurate first-order approximation for analyzing Risley prism system errors, improving beam directing accuracy for optical detection and measurement applications.

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    Area of Science:

    • Optical Engineering
    • Metrology
    • Precision Mechanics

    Background:

    • Accurate beam direction is crucial for Risley prism systems in optical detection and measurement.
    • Previous error analyses lacked high numerical approximation accuracy.
    • Existing pointing error analyses assumed certain component, orientation, and assembly errors.

    Purpose of the Study:

    • To develop and validate a highly accurate first-order approximation for Risley prism system error analysis.
    • To analyze directing errors caused by wedge-angle, prism mounting, and bearing assembly errors.
    • To estimate the system error of a designed Risley prism prototype.

    Main Methods:

    • Designed a prototype Risley prism system.
    • Derived first-order approximations for error analysis.
    • Compared approximate results with exact calculations.
    • Analyzed directing errors using exact formulas and first-order approximations.
    • Derived combined errors for wedge-angle and mounting errors.

    Main Results:

    • The first-order approximation for error analysis was found to be accurate when compared to exact results.
    • Directing errors associated with wedge-angle, prism mounting, and bearing assembly errors were analyzed.
    • Combined errors from wedge-angle and mounting errors were shown to be the sum of individual prism errors.
    • System error for the prototype was estimated based on the derived formulas.

    Conclusions:

    • The developed first-order approximation provides accurate error analysis for Risley prism systems.
    • The derived formulas are applicable to similar Risley prism beam directing systems.
    • This work enhances the performance evaluation of optical detection and measurement systems utilizing Risley prisms.