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Calculation model of the concave mirror depth in gas jet forming of the mirror blank

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Abstract

The surface accuracy and quality of the mirror blank determine the performance of the optical mirror, so it is essential to explore a simple and effective way to process the mirror blank. Gas jet forming is a simple and efficient way of forming optical surfaces. However, the key to accurately forming mirror blanks is establishing the relationship between the gas jet parameters and the resulting surface shape. Therefore, several experiments were carried out in this study to develop the relevant models to investigate the above issues. The experimental data analysis found that the surface tension of the viscous fluid being processed impacts the shape of the surface formed by the gas jet. Therefore, the new model for predicting the surface shape of gas jets was developed by refining the Blanks and Chandrasekhara model by adding surface tension. The prediction error of the new model for the depth of the surface formed by the gas jet is in the range of 0.0497–0.833 mm, much smaller than the uncorrected model.

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Funding

This work was supported by the Basic and Applied Basic Research Fund of Guangdong Province (2021A1515110927); Jilin Province Scientific and Technological Development Program (20200201006JC); The Open Project Program of Key Laboratory for Cross-Scale Micro and Nano Manufacturing, Ministry of Education, Changchun University of Science and Technology (CMNM-KF202108); and Scientific Research Project of Education Department of Guangdong Province (2022KCXTD029).

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Authors and Affiliations

  1. School of Mechatronic Engineering and Automation, Foshan University, Foshan, 528001, China

    Weijie Fu & Xinming Zhang

  2. Ministry of Education Key Laboratory for Cross-Scale Micro and Nano Manufacturing, Changchun, 130022, China

    Weijie Fu, Weiwen Jiang & Xinming Zhang

  3. Changchun University of Science and Technology, Changchun, 130022, China

    Weijie Fu, Weiwen Jiang & Xinming Zhang

Authors
  1. Weijie Fu
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  2. Weiwen Jiang
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  3. Xinming Zhang
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Contributions

Weijie Fu: conceptualisation, methodology, software, investigation, and writing—original draft. Weiwen Jiang: validation, formal analysis, visualisation, and software. Xinming Zhang: validation, formal analysis, visualisation, and investigation.

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Correspondence to Weijie Fu.

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Fu, W., Jiang, W. & Zhang, X. Calculation model of the concave mirror depth in gas jet forming of the mirror blank. Int J Adv Manuf Technol 125, 1679–1687 (2023). https://doi.org/10.1007/s00170-023-10842-2

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  • DOI: https://doi.org/10.1007/s00170-023-10842-2

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