Skip to main content

Free-Form Surface Profilometry Based on Subtracting CMM Date from Enveloping Surface

  • Conference paper
  • First Online:
  • 1177 Accesses

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 192))

Abstract

Freeform optical components (FOCs) can effectively simplify optical system configuration and improve optical preforms, they can be applied on imaging system, illumination system and phase compensation system. Scattered sagittal points reported by coordinate measuring machine (CMM) often exist uncertainty and makes contour error inaccurate. A new model which subtracts CMM date from enveloping surface calculated by theoretical equation includes tilt, rotation and shift. Experiments result shows this method introduced by this article could efficiently analysis scattered CMM data and PV (Peak-to-valley) less than 2 μm which matched accuracy of CMM (1.8+ L/300 μm) and accuracy of fabrication error of SPDT.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. G. Qiu and C. Cui, “Fermat principle based reflector design for fast and contactless freeform optical component inspections,” Opt. Lett. 38(18), 3510–3513 (2013).

    Google Scholar 

  2. W. Plummer, J. Baker, and J. Tassell, “Photographic optical systems with nonrotational aspheric surfaces,” Appl. Opt. 38(16), 3572–3592 (1999).

    Google Scholar 

  3. X. Sun, Z. Zheng, and X. Liu, “Design of ultra-thin projection system with curved screen based on Zernike free-form surfaces,” J. Zhejiang Uni. 43(8), 1428–1432 (2009).

    Google Scholar 

  4. O. Cakmakci et al., “Design of a free-from single-element head-worn display,” Proc. SPIE 7618, 761803 (2010).

    Google Scholar 

  5. C. Cheung et al., “Measuring ultra-precision freeform surfaces using a robust form characterization method,” Meas. Sci. Technol. 17(3), 488 (2006).

    Google Scholar 

  6. X. Jiang, X. Zhang, and P. Scott, “Template matching of freeform surfaces based on orthogonal distance fitting for precision metrology,” Meas. Sci. Technol. 21(4), 045101 (2010).

    Google Scholar 

  7. C. Cheung et al., “Measuring ultra-precision freeform surfaces using a hybrid fitting and matching method,” Meas. Sci. Technol. 20(10), 105103 (2009).

    Google Scholar 

  8. L. Kong et al., “Measuring optical freeform surfaces using a coupled reference data method,” Meas. Sci. Technol. 18(7), 2252 (2007).

    Google Scholar 

  9. C. Cheung, L. Kong, and M. Ren, “Measurement and characterization of ultra-precision freeform surfaces using an intrinsic surface feature based method,” Meas. Sci. Technol. 21(11), 115109 (2010).

    Google Scholar 

  10. A. Arimoto et al., “Laser scanning system using a rotationally asymmetric aspheric surface,” Appl. Opt. 30(6), 699–704 (1991).

    Google Scholar 

  11. W. Guo et al., “Adaptive centroid finding algorithm for freeform surface measurements,” Appl. Opt. 52(10), D75–D83 (2013).

    Google Scholar 

  12. K. Cordero-Davila et al., “Appling Ronchi test to evaluate local and global surface errors without both approximations and integration,” presented at Imaging and Applied Optics Technical Digest, Vol. 13, Paper JTu5A (2012).

    Google Scholar 

  13. L. Zhao et al., “Reference-free Shack–Hartmann wave-front sensor,” Opt. Lett. 36(15), 2752–2754 (2011).

    Google Scholar 

  14. H. Shen et al., “Design and fabrication of computer-generated holograms for testing optical freeform surfaces,” China. Opt. Lett. 11(3), 032201 (2013).

    Google Scholar 

  15. J. Martinez-Anton et al., “Enhancement of surface inspection by Moire interferometry using flexible reference gratings,” Opt. Express 8(12), 649–654 (2001).

    Google Scholar 

  16. S. Li, S. Chen, and Y. Dai, “Inspection of free-form optics,” Nanotechnology. Précis. Eng. 3(2), 126–136 (2005).

    Google Scholar 

  17. D. Malacara, Optical Shop Testing, 3rd ed., Wiley, Dordrecht, Netherlands (2007).

    Google Scholar 

  18. Wencai Zhou et al., “Application of computed graphic holograph in testing the integrated wave-front coding unit,” Proc. ICOEE, 2016.

    Google Scholar 

  19. Jianfeng Ren et al., “Study on four-step computer-generated hologram with same diffraction efficiency of zeroth and first order,” Optical Engineering 50(8), 085801(August 2011).

    Google Scholar 

  20. Jianfeng Ren et al., “ Design of original structure of illumination system in off-axis convex aspherical lens testing system with computer-generated hologram,” ACTA OPTICA SINICA, 32(2), 0222005 (2012).

    Google Scholar 

  21. https://en.wikipedia.org/wiki/Coordinate-measuring_machine.

  22. Jianming Wang et al., “Data processing of off-axis aspheric surface measurement by coordinate contour measuring machine”, Optical Technique, 2013(4):291–296.

    Google Scholar 

  23. “Optical design program,” Zemax Manual, June 9, 2009, 289.

    Google Scholar 

Download references

Acknowledgements

This work was supported by Science and Technology on Solid-State Laser Laboratory, China (Grant No. 9140C040103150C04018).

This work was also supported by the Project of Priority Academic Program Developments (PAPD) of Jiangsu Higher Education Institutions.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jianfeng Ren .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Ren, J., Tang, X., Wang, G., Huang, Q., Wang, Y., Ni, Y. (2017). Free-Form Surface Profilometry Based on Subtracting CMM Date from Enveloping Surface. In: Urbach, H., Zhang, G. (eds) 3rd International Symposium of Space Optical Instruments and Applications. Springer Proceedings in Physics, vol 192. Springer, Cham. https://doi.org/10.1007/978-3-319-49184-4_19

Download citation

Publish with us

Policies and ethics