Experimental Study on the Absolute Measurement of Flats

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Fringe 2013
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Abstract

We present an absolute method of shift-rotation to calibrate the flatness of flats. Compared with the conventional three-flat test method, the method requires only two flat and no flips of the flats. And there will be no sag errors introduced by gravity deformations because of the flips of flats. The details of the method are given out in the paper. With multi-rotational measurements and translation measurements, the surface deviation of flats can be obtained with the method. Experimental results are presented to show the availability of the absolute method.

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References

  1. Schulz, G., Schwider, J.: Precise measurement of planeness. Appl. Opt. 6, 1077–1084 (1967)

    Article  Google Scholar 

  2. Ai, C., Wyant, J.C.: Absolute testing of flats by using even and odd functions. Appl. Opt. 32, 4698–4705 (1993)

    Article  Google Scholar 

  3. Küchel, M.F.: A new approach to solve the three flat problem. Optik 112, 381–391 (2001)

    Article  Google Scholar 

  4. Griesmann, U.: Three-flat test solution based on simple mirror symmetry. Appl. Opt. 45, 5856–5865 (2006)

    Article  Google Scholar 

  5. Vannoni, M., Molesini, G.: Three-flat test with plates in horizontal posture. Appl. Opt. 47, 2133–2145 (2008)

    Article  Google Scholar 

  6. Vannoni, M., Molesini, G.: Absolute planarity with three flat test: an iterative approach with Zernike polynomials. Opt. Express 16, 340–354 (2008)

    Article  Google Scholar 

  7. Dörband, B., Seitz, G.: Interferometric testing of optical surfaces at its current limit. Optik 112, 392–398 (2001)

    Article  Google Scholar 

  8. Otaki, K., Yamamoto, T., Fukuda, Y.: Accuracy evaluation of the point diffraction interferometer for extreme ultraviolet lithography aspheric mirror. J. Vac. Sci. Technol. B 20, 295–300 (2002)

    Article  Google Scholar 

  9. Su, D., Miao, E., Sui, Y., Yang, H.: Absolute surface figure testing by shift-rotation method using Zernike polynomials. Opt. Letters 37, 3198–3200 (2012)

    Article  Google Scholar 

  10. http://www.zygo.com/?/met/interferometers/verifire/asphere/

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Correspondence to Wenchuan Zhao .

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Zhao, W., Song, W., Wu, G., Wu, Y. (2014). Experimental Study on the Absolute Measurement of Flats. In: Osten, W. (eds) Fringe 2013. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36359-7_88

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  • DOI: https://doi.org/10.1007/978-3-642-36359-7_88

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36358-0

  • Online ISBN: 978-3-642-36359-7

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