OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 19 — Sep. 15, 2008
  • pp: 15090–15096

3D shape measurement of the aspheric mirror by advanced phase measuring deflectometry

Yan Tang, Xianyu Su, Yuankun Liu, and Hailong Jing  »View Author Affiliations

Optics Express, Vol. 16, Issue 19, pp. 15090-15096 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (687 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



An advanced Phase Measuring Deflectometry(PMD) is proposed to measure the three dimensional (3D) shape of the aspheric mirror. In the measurement process, a liquid crystal display(LCD)screen displaying sinusoidal fringe patterns and a camera observing the fringe patterns reflected via the tested mirror, are moved along the tested mirror optical axis, respectively. At each movement position, the camera records the fringe patterns of the screen located at two different positions. Using these fringe patterns, every camera pixels can find a corresponding point on the tested mirror and gets its coordinate and slope. By integrating, the 3D shape of the tested mirror can be reconstructed. Compared with the traditional PMD, this method doesn’t need complex calibration and can measure the absolute height of the aspheric mirror which has large range of surface geometries unambiguously. Furthermore, this method also has strong anti-noise ability. Computer simulations and preliminary experiment validate the feasibility of this method.

© 2008 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.5700) Instrumentation, measurement, and metrology : Reflection
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
(220.1250) Optical design and fabrication : Aspherics

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: July 7, 2008
Revised Manuscript: August 13, 2008
Manuscript Accepted: August 14, 2008
Published: September 10, 2008

Yan Tang, Xianyu SU, Yuankun Liu, and Hailong Jing, "3D shape measurement of the aspheric mirror by advanced phase measuring deflectometry," Opt. Express 16, 15090-15096 (2008)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. T. Bothe, W. S. Li, C. von Kopylow, and W. Juptner, "High-resolution 3D shape measurement on specular surfaces by fringe reflection," Proc. SPIE 5457, 411-422 (2004). [CrossRef]
  2. Y. K. Liu, X. Y. Su, and Q. Y. Wu, "Three-Dimensional Shape Measurement for Specular Surface Based on Fringe Reflection," Acta Optical Sinica,  26, 1636-1640 (2006).
  3. W. S. Li, T. Bothe, C. von Kopylow, and W. Juptner, "Evaluation methods for gradient measurements techniques," Proc. SPIE 5457, 300-311 (2004). [CrossRef]
  4. M. C. Knauer, J. Kaminski, and G. Hausler, " Phase measuring Deflectometry: a new approach to measure specular free-form surfaces," Proc. SPIE 5457, 366-376 (2004). [CrossRef]
  5. M. Petz and R. Tutsch, "Reflection grating photogrammetry: a technique for absolute shape measurement of specular free-form surfaces," Proc. SPIE 5869, (2005), [CrossRef]
  6. W. S. Li and X. Y. Su. "Application of improved phase-measuring profilometry in nonconstant environmental light," Opt. Eng,  40, 478-485 (2001). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited