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Related Experiment Video

Updated: May 19, 2026

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

Published on: June 24, 2016

Method to test rotationally asymmetric surface deviation with high accuracy.

Weihong Song¹, Fan Wu, Xi Hou

¹Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China. songscu@163.com

|August 4, 2012

Summary

This summary is machine-generated.

A new absolute method accurately measures surface deviations using Zernike polynomials and averaging. This efficient technique requires fewer measurements than traditional methods, improving accuracy and reducing noise for precise optical testing.

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Accurate Determination of the Equilibrium Surface Tension Values with Area Perturbation Tests

Accurate Determination of the Equilibrium Surface Tension Values with Area Perturbation Tests

Published on: August 30, 2019

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Last Updated: May 19, 2026

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

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Published on: June 24, 2016

Accurate Determination of the Equilibrium Surface Tension Values with Area Perturbation Tests

Accurate Determination of the Equilibrium Surface Tension Values with Area Perturbation Tests

Published on: August 30, 2019

Area of Science:

Optical metrology
Surface characterization
Precision engineering

Background:

Accurate measurement of rotationally asymmetric surface deviations is critical in optical manufacturing.
Traditional multiangle averaging methods can be time-consuming and sensitive to environmental noise.

Purpose of the Study:

To develop a novel absolute method for testing rotationally asymmetric surface deviations.
To improve measurement accuracy and efficiency compared to existing techniques.
To reduce the impact of environmental noise on measurement results.

Main Methods:

Combines Zernike polynomial fitting (least-squares algorithm) for low-frequency components.
Preserves high-frequency components using an averaging method.
Requires fewer rotational measurements than traditional multiangle averaging.

Main Results:

Experimental verification shows high accuracy, with a root mean square (rms) residual figure of approximately 0.6 nm.
Achieves a balance between measurement accuracy and efficiency.
Effectively suppresses environmental noise during measurements.

Conclusions:

The proposed absolute method offers a more accurate and efficient approach to measuring surface deviations.
It provides a practical solution for high-precision optical surface testing.
The method demonstrates robustness against environmental disturbances.