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Accuracy Improvement and Systematic Bias Analysis of Scanning White Light Interferometry for Free-form Surfaces Measurements

자유 곡면 형상 측정을 위한 백색광 주사 간섭계의 정확도 향상 및 시스템 오차 분석

  • Ghim, Young-Sik (Center for Space Optics, Korea Research Institute of Standards and Science) ;
  • Davies, Angela (Department of Physics and Optical Science, University of North Carolina at Charlotte) ;
  • Rhee, Hyug-Gyo (Center for Space Optics, Korea Research Institute of Standards and Science)
  • 김영식 (한국표준과학연구원 우주광학센터) ;
  • ;
  • 이혁교 (한국표준과학연구원 우주광학센터)
  • Received : 2014.01.20
  • Accepted : 2014.05.08
  • Published : 2014.07.01

Abstract

Scanning white-light interferometry is an important measurement option for many surfaces. However, serious profile measurement errors can be present when measuring free-form surfaces being highly curved or tilted. When the object surface slope is not zero, the object and reference rays are no longer common path and optical aberrations impact the measurement. Aberrations mainly occur at the beam splitter in the interference objective and from misalignment in the optical system. Both effects distort the white-light interference signal when the surface slope is not zero. In this paper, we describe a modified version of white-light interferometry for eliminating these measurement errors and improving the accuracy of white-light interferometry. Moreover, we report systematic errors that are caused by optical aberrations when the object is not flat, and compare our proposed method with the conventional processing algorithm using the random ball test.

Keywords

References

  1. Flournoy, P., McClure, R., and Wyntjes, G., "White-light Interferometric Thickness Gauge," Applied Optics, Vol. 11, No. 9, pp. 1907-1915, 1972. https://doi.org/10.1364/AO.11.001907
  2. Dresel, T., Hausler, G., and Venzke, H., "Three-dimensional Sensing of Rough Surfaces by Coherence Radar," Applied Optics, Vol. 31, No. 7, pp. 919-925, 1992. https://doi.org/10.1364/AO.31.000919
  3. Kim, S.-W. and Kim, G.-H., "Thickness-profile Measurement of Transparent Thin-film Layers by White-light Scanning Interferometry," Applied Optics, Vol. 38, No. 28, pp. 5968-5973, 1999. https://doi.org/10.1364/AO.38.005968
  4. Ghim, Y.-S. and Kim, S.-W., "Thin-film Thickness Profile and Its Refractive Index Measurements by Dispersive White-light Interferometry," Optics Express, Vol. 14, No. 24, pp. 11885-11891, 2006. https://doi.org/10.1364/OE.14.011885
  5. Ghim, Y.-S. and Kim, S.-W., "Fast, Precise, Tomographic Measurements of Thin Films," Applied Physics Letters, Vol. 91, No. 9, Paper No. 091903, 2007.
  6. Ghim, Y.-S. and Kim, S.-W., "Spectrally Resolved White-light Interferometry for 3D Inspection of a Thin-film Layer Structure," Applied Optics, Vol. 48, No. 4, pp. 799-803, 2009. https://doi.org/10.1364/AO.48.000799
  7. Schwider, J. and Zhou, L., "Dispersive Interferometric Profilometer," Optics Letters, Vol. 19, No. 13, pp. 995-997, 1994. https://doi.org/10.1364/OL.19.000995
  8. Kino, G. S. and Chim, S. S., "Mirau Correlation Microscope," Applied Optics, Vol. 29, No. 26, pp. 3775-3783, 1990. https://doi.org/10.1364/AO.29.003775
  9. Caber, P. J., "Interferometric Profiler for Rough Surfaces," Applied Optics, Vol. 32, No. 19, pp. 3438-3441, 1993. https://doi.org/10.1364/AO.32.003438
  10. Larkin, K. G., "Efficient Nonlinear Algorithm for Envelope Detection in White Light Interferometry," JOSA A, Vol. 13, No. 4, pp. 832-843, 1996. https://doi.org/10.1364/JOSAA.13.000832
  11. Harasaki, A. and Wyant, J. C., "Fringe Modulation Skewing Effect in White-light Vertical Scanning Interferometry," Applied Optics, Vol. 39, No. 13, pp. 2101-2106, 2000. https://doi.org/10.1364/AO.39.002101
  12. Sandoz, P., Devillers, R., and Plata, A., "Unambiguous Profilometry by Fringe-order Identification in White-light Phase-shifting Interferometry," Journal of Modern Optics, Vol. 44, No. 3, pp. 519-534, 1997. https://doi.org/10.1080/09500349708232918
  13. Harasaki, A., Schmit, J., and Wyant, J. C., "Improved Vertical-scanning Interferometry," Applied Optics, Vol. 39, No. 13, pp. 2107-2115, 2000. https://doi.org/10.1364/AO.39.002107
  14. Lehmann, P., "Systematic Effects in Coherence Peak and Phase Evaluation of Signals Obtained with a Vertical Scanning White-light Mirau Interferometer," Proc. of the SPIE on Optical Micro- and Nanometrology in Microsystems Technology, Vol. 6188, Paper No. 11, 2006.
  15. Berger, R., Sure, T., and Osten, W., "Measurement Errors of Mirrorlike, Tilted Objects in White Light Interferometry," Proc. of the SPIE on Optical Measurement Systems for Industrial Inspection V, Vol. 6616, Paper No. 2E, 2007.
  16. Park, M.-C., Kim, S.-W., and Yim, N. B., "Aberration Effects on White Light Interferometry," Korean Journal of Optics and Photonics, Vol. 12, No. 5, pp. 362-370, 2001.
  17. De Groot, P. and Deck, L., "Three-dimensional Imaging by Sub-nyquist Sampling of White-light Interferograms," Optics Letters, Vol. 18, No. 17, pp. 1462-1464, 1993. https://doi.org/10.1364/OL.18.001462
  18. De Groot, P. and Deck, L., "Surface Profiling by Analysis of White-light Interferograms in the Spatial Frequency Domain," Journal of Modern Optics, Vol. 42, No. 2, pp. 389-401, 1995. https://doi.org/10.1080/09500349514550341
  19. Niehues, J. and Lehmann, P., "Dual-wavelength Vertical Scanning Low-coherence Interference Microscope," Proc. of the SPIE on Optical Measurement Systems for Industrial Inspection V, Vol. 6616, Paper No. 6, 2007.
  20. Niehues, J., Lehmann, P., and Bobey, K., "Dual-wavelength Vertical Scanning Low-coherence Interferometric Microscope," Applied Optics, Vol. 46, No. 29, pp. 7141-7148, 2007. https://doi.org/10.1364/AO.46.007141
  21. De Groot, P., Colonna de Lega, X., Kramer, J., and Turzhitsky, M., "Determination of Fringe Order in White-light Interference Microscopy," Applied Optics, Vol. 41, No. 22, pp. 4571-4578, 2002. https://doi.org/10.1364/AO.41.004571
  22. Ghim, Y.-S. and Davies, A., "Complete Fringe Order Determination in Scanning White-light Interferometry using a Fourier-based Technique," Applied Optics, Vol. 51, No. 12, pp. 1922-1928, 2012. https://doi.org/10.1364/AO.51.001922
  23. Gardner, N. and Davies, A., "Self-calibration for Microrefractive Lens Measurements," Optical Engineering, Vol. 45, No. 3, pp. 033603-1-033603-5, 2006. https://doi.org/10.1117/1.2181982
  24. Bergner, B. C. and Davies, A., "Self-calibration for Transmitted Wavefront Measurements," Applied Optics, Vol. 46, No. 1, pp. 18-24, 2007. https://doi.org/10.1364/AO.46.000018
  25. Zhou, Y., Ghim, Y.-S., Fard, A., and Davies, A., "Application of the Random Ball Test for Calibrating Slope-dependent Errors in Profilometry Measurements," Applied Optics, Vol. 52, No. 24, pp. 5925-5931, 2013. https://doi.org/10.1364/AO.52.005925