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When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
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Error analysis of aspheric surface with reference datum.

Yanglin Peng, Yifan Dai, Shanyong Chen

    Applied Optics
    |September 15, 2015
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a new method for analyzing form and location errors in aspheric surfaces. The findings provide crucial guidelines for improving the accuracy of optical component manufacturing.

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    Area of Science:

    • Optical Engineering
    • Metrology
    • Manufacturing Science

    Background:

    • High-precision optical components demand stringent location tolerances, posing challenges for measurement and manufacturing.
    • Analyzing form and location errors independently is insufficient for aspheric surfaces with reference datums.

    Purpose of the Study:

    • To develop a method for evaluating form error and calculating location error of aspheric surfaces with a reference datum.
    • To reveal the relationship between form error and location error in machined aspheric surfaces.
    • To provide guidelines for error correction in optical component manufacturing.

    Main Methods:

    • Development of a least-squares local optimization method based on least-squares optimization.
    • Evaluation of form error and calculation of location error for aspheric surfaces.
    • Simulation of error variations by superimposing random noise on ideal surfaces.

    Main Results:

    • The relationship between form error and location error for aspheric surfaces was successfully revealed.
    • The influence of these errors on the machining process was determined.
    • Simulations demonstrated error change laws across different radii and apertures.

    Conclusions:

    • The developed method effectively links machining processes with error analysis for aspheric surfaces.
    • This research offers practical guidance for error correction, enhancing optical component manufacturing accuracy.