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Position error correction of large-aperture aspherical in-position measurement.

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This study presents an improved mathematical model for aspherical measurement calibration, combining hardware and software methods. The new approach effectively reduces measurement errors in concave aspheric surfaces by approximately 2 μm.

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Area of Science:

  • Optics and Photonics
  • Metrology
  • Optical Engineering

Background:

  • Accurate calibration of aspherical surfaces is critical for optical system performance.
  • Existing calibration methods often lack sufficient precision for demanding applications.
  • In-position measurement calibration requires robust mathematical models to minimize errors.

Purpose of the Study:

  • To propose an improved mathematical model for aspherical in-position measurement calibration.
  • To enhance the precision of aspherical surface measurements.
  • To validate the model's effectiveness through simulations and experimental testing.

Main Methods:

  • Development of a hybrid calibration approach integrating hardware and software techniques.
  • Utilizing a rough calibration step with hardware, followed by precise error reduction using software.
  • Implementation of simulation experiments to demonstrate model efficacy.
  • Experimental verification on a concave aspheric surface.

Main Results:

  • The improved mathematical model successfully calibrates aspherical surfaces.
  • Simulation experiments confirmed the model's effectiveness in error reduction.
  • Experimental testing showed a significant reduction in measurement errors.
  • Measurement errors for the concave aspheric mirror were reduced by approximately 2 μm after data processing.

Conclusions:

  • The proposed hybrid calibration model offers enhanced accuracy for aspherical surface metrology.
  • The integration of software-based error correction significantly improves measurement precision.
  • This method provides a viable solution for achieving high-accuracy measurements of aspheric components.