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Angles-centroids fitting calibration and the centroid algorithm applied to reverse Hartmann test.

Zhu Zhao1, Mei Hui1, Zhengzheng Xia1

  • 1Beijing Key Laboratory for Precision Optoelectronic Measurement Instrument and Technology, School of Optoelectronics, Beijing Institute of Technology, Beijing 100081, China.

The Review of Scientific Instruments
|March 3, 2017
PubMed
Summary
This summary is machine-generated.

This study introduces an angles-centroids fitting (ACF) system and centroid algorithm for precise reverse Hartmann test (RHT) calibration. The method accurately relates ray angles to detector coordinates, improving optical alignment accuracy.

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Area of Science:

  • Optical testing
  • Metrology
  • Instrument calibration

Background:

  • The reverse Hartmann test (RHT) is a critical optical testing technique.
  • Precise calibration is essential for accurate RHT measurements.
  • Existing calibration methods may lack sufficient precision.

Purpose of the Study:

  • To develop a novel angles-centroids fitting (ACF) system for RHT calibration.
  • To establish a robust centroid algorithm for accurate ray-to-pixel mapping.
  • To enhance the precision and feasibility of RHT calibration.

Main Methods:

  • Development of an angles-centroids fitting (ACF) system.
  • Implementation of a centroid algorithm based on 2D Gaussian fitting of circle of confusion (CoC) spots.
  • Utilizing laser spot centroids tracking for optical alignment.
  • Experimental validation at different crystal positions.

Main Results:

  • The centroid algorithm demonstrates robustness against reduced image quality.
  • Optical instrumental alignments achieved an accuracy of 0.1 pixel.
  • ACF calibration achieved root-mean-square errors between 10⁻⁶ and 10⁻⁴ radians.

Conclusions:

  • The developed ACF system and centroid algorithm provide a precise method for RHT calibration.
  • The Gaussian fitting approach in the centroid algorithm is resilient to image degradation.
  • The study validates the high accuracy and feasibility of the ACF calibration technique.