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Determination of Aggregate Surface Morphology at the Interfacial Transition Zone (ITZ)
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Absolute surface figure testing by shift-rotation method using Zernike polynomials.

Dongqi Su1, Erlong Miao, Yongxin Sui

  • 1State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, Jilin, China. dqsu@hotmail.com

Optics Letters
|August 4, 2012
PubMed
Summary

This study introduces an absolute calibration method for surface figure testing, achieving subnanometer accuracy. The shift-rotation technique enhances precision for various optical surfaces.

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Area of Science:

  • Optical metrology
  • Surface metrology
  • Precision engineering

Background:

  • Surface figure testing often relies on relative measurements, where reference surface accuracy limits overall precision.
  • Achieving subnanometer accuracy in surface figure testing necessitates absolute calibration techniques.
  • Existing methods face limitations in accuracy and applicability to diverse surface types.

Purpose of the Study:

  • To present an absolute calibration method for surface figure testing.
  • To enable subnanometer accuracy for both flat and spherical (concave/convex) surfaces.
  • To overcome limitations of relative testing methods.

Main Methods:

  • Developed a shift-rotation absolute testing method utilizing Zernike polynomials.
  • Calibration involves at least three position measurements: a basic position, a rotation, and a lateral shift of the test surface.
  • The method is applicable to a wide range of optical surfaces.

Main Results:

  • Demonstrated high repeatability of the shift-rotation method, achieving 0.13 nm RMS.
  • Pixel-to-pixel comparison with the established two-sphere method showed excellent agreement (0.2 nm RMS).
  • Validated the method's effectiveness for absolute surface figure calibration.

Conclusions:

  • The presented shift-rotation method offers a robust approach for absolute surface figure calibration.
  • Subnanometer accuracy is achievable for diverse optical surface geometries.
  • This technique provides a significant advancement over traditional relative measurement methods.