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Fast evaluation of period deviation and flatness of a linear scale by using a Fizeau interferometer

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Abstract

A reflective-type linear scale with a pitch of 1.67 μm used in an interferential scanning-type 2-DOF linear encoder is evaluated by the Fizeau interferometer with a measurement range of 100 mm. The 2-DOF linear encoder produces 2-axis position signals based on the interference between the X-directional positive and negative first-order diffracted beams from the linear scale. Firstly, the Z-directional flatness eZ(x,y) of the linear scale is evaluated from the wavefront of the zeroorder diffracted beam reflected from the linear scale. The linear scale is then tilted to align the axes of the first-order diffracted beams with that of the interferometer so that the X-directional period deviation eX(x,y)of the linear scale can be evaluated from the wavefronts of the X-directional positive and negative first—order diffracted beams. Finally, the Zdirectional flatness eZ(x,y) and X-directional period deviation eX(x,y) were verified by comparing those with the nonlinear components of the 2-DOF linear encoder using the evaluated linear scale.

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References

  1. Kunzmann, H., Pfeifer, T., and Flügge, J., “Scales vs. laser interferometers, performance and comparison of two measuring systems,” Annals of the CIRP, Vol. 42, No. 2, pp. 753–767, 1993.

    Article  Google Scholar 

  2. Schwenke, H., Neuschäfer-Rube, U., Pfeifer T., and Kunzmann, H., “Optical methods for Dimensional Metrology in Production Engineering,” Annals of the CIRP, Vol. 51, No. 2, pp. 685–699, 2002.

    Article  Google Scholar 

  3. Kimura, A., Gao, W., Arai, Y., and Lijiang, Z., “Design and construction of a two-degree-of-freedom linear encoder for nanometric measurement of stage position and straightness,” Precision Engineering, Vol. 34, No. 1, pp. 145–155, 2010.

    Article  Google Scholar 

  4. Zygo Corporation, “Fizeau interferometer Catalogue”.

  5. Yamamoto, A. and Yamaguchi, I., “Surface profilometry by wavelength scanning Fizeau interferometer,” Optics & Laser Technology, Vol. 32, No. 4, pp. 261–266, 2000.

    Article  Google Scholar 

  6. Nomura, T., Yoshikawa, K., Tashiro, H., Takeuchi, K., Ozawa, N., Okazaki, Y., Suzuki, M., Kobayashi, F., and Usuki, M., “Onmachine shape measurement of workpiece surface with Fizeau interferometer,” Precision Engineering, Vol. 14, No. 3, pp. 155–159, 1992.

    Article  Google Scholar 

  7. Chatterjee, S., Kumar, Y. P., and Bhaduri, B., “Measurement of surface figure of plane optical surfaces with polarization phase-shifting Fizeau interferometer,” Optics & Laser Technology, Vol. 39, No. 2, pp. 268–274, 2007.

    Article  Google Scholar 

  8. Bhattacharyya, D., Ray, A., Dutta, B. K., and Ghosh, P. N., “Direct measurement on transparent plates by using Fizeau interferometry,” Optics & Laser Technology, Vol. 34, No. 1, pp. 93–96, 2002.

    Article  Google Scholar 

  9. Bünnagel, R., Oehring, H. A., and Steiner, K., “Fizeau Interferometer for Measuring the Flatness of Optical Surfaces,” Applied Optics, Vol. 7, No. 2, pp. 331–335, 1968.

    Article  Google Scholar 

  10. Fairman, P. S., Ward, B. K., Oreb, B. F., Farrant, D. I., Gilliand, Y., Freund, C. H., Leistner, A. J., Seckold, J. A., and Walsh, C. J., “300-mm-aperture phase-shifting Fizeau interferometer,” Optical Engineering, Vol. 38, No. 8, pp. 1371–1380, 1999.

    Article  Google Scholar 

  11. Gao, W. and Kimura, A., “A fast evaluation method for pitch deviation and flatness of a planar scale grating,” Annals of the CIRP, Vol. 59, No. 1, pp. 509–508, 2010.

    Article  Google Scholar 

  12. Pahk, H. J., Park, J. S., and Yeo, I., “Development of straightness measurement technique using the profile matching method,” International Journal of Machine Tools and Manufacture, Vol. 37, No. 2, pp. 135–147, 1997.

    Article  Google Scholar 

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Correspondence to Woo Jae Kim.

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Kim, W.J., Shimizu, Y., Kimura, A. et al. Fast evaluation of period deviation and flatness of a linear scale by using a Fizeau interferometer. Int. J. Precis. Eng. Manuf. 13, 1517–1524 (2012). https://doi.org/10.1007/s12541-012-0200-6

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  • DOI: https://doi.org/10.1007/s12541-012-0200-6

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