Please wait a minute...
Frontiers of Optoelectronics

ISSN 2095-2759

ISSN 2095-2767(Online)

CN 10-1029/TN

Postal Subscription Code 80-976

Front Optoelec    2012, Vol. 5 Issue (2) : 218-223    https://doi.org/10.1007/s12200-012-0233-6
RESEARCH ARTICLE
Measurement of optical mirror with a small-aperture interferometer
Ya GAO1, Hon Yuen TAM2, Yongfu WEN1, Huijing ZHANG1, Haobo CHENG1()
1. School of Optoelectronics, Beijing Institute of Technology, Beijing 100081, China; 2. Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China
 Download: PDF(475 KB)   HTML
 Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

In this paper, the principle of subaperture stitching interferometry was introduced. A testing stage with five degrees of freedom for stitching interferometry was built. A model based on least-squares method and error averaging method for data processing was established, which could reduce error accumulation and improve the precision. A 100 mm plane mirror was measured with a 50 mm aperture interferometer by means of stitching interferometry. Compared with the results by a 100 mm interferometer, peak to valley (PV) and root mean square (RMS) of the phase distribution residual are 0.0038λ and 0.0004λ, respectively. It proved that the model and method are helpful for large optical measurement.

Keywords subaperture stitching      interferometry      residual error     
Corresponding Author(s): CHENG Haobo,Email:chenghaobo@tsinghua.org.cn   
Issue Date: 05 June 2012
 Cite this article:   
Ya GAO,Hon Yuen TAM,Yongfu WEN, et al. Measurement of optical mirror with a small-aperture interferometer[J]. Front Optoelec, 2012, 5(2): 218-223.
 URL:  
https://academic.hep.com.cn/foe/EN/10.1007/s12200-012-0233-6
https://academic.hep.com.cn/foe/EN/Y2012/V5/I2/218
Fig.1  Illustration of principle
No.Max. stroke/mmpositioning accuracy/mmstraightness accuracy/mm
1. x-direction3000.020.02
2. y-direction3000.020.02
No.angle range/(°)resolutionreposition accuracy
3. x-goniometer±100.000320.0043
4. y-goniometer±150.000450.0047
Tab.1  Stage parameters
Fig.2  Translation stage
Fig.3  Location of nine subapertures
Fig.4  Measurements of nine subapertures separately (unit: )
Fig.5  Data processing results of (a) stitching; (b) measurement (unit: )
Fig.6  Results after eliminating tilt error. (a) Stitching; (b) measurement (unit: )
Fig.7  Deviation (unit: )
1 Cheng H B. Interferometric null testing and the model for separating adjustment errors. Journal of Harbin Institute of Technology , 2006, 38(8): 1247-1250
2 Yang L. Advanced Optical Manufacture Technology. Beijing: Science Press, 2001, 326-365 (in Chinese)
3 Malacara D. Optical Shop Testing. New York: Wiley-Interscience, 1978, 245-296
4 Cheng H B, Feng Z J. Error-separation model for interferometric testing aspheric surfaces based on wavefront aberrations. Journal of Tsinghua University (Science and Technology), 2006, 46(2): 187-190
5 Kim C J. Polynomial fit of interferograms. Applied Optics , 1982, 21(24): 4521-4525
doi:10.1364/AO.21.004521
pmid:20401111
6 Chow W W, Lawrence G N. Method for subaperture testing interferogram reduction. Optics Letters , 1983, 8(9): 468-470
doi: 10.1364/OL.8.000468 pmid:19718150
7 De Hainaut C R, Erteza A. Numerical processing of dynamic subaperture testing measurements. Applied Optics , 1986, 25(4): 503-509
doi: 10.1364/AO.25.000503 pmid:18231202
8 Catanzaro B E, Connell S J, Mimovich M, Backovsky S, Williams G, Thomas J A, Barber D D, Johnston R A, Hylton J C, Dodson K J, Cohen E J. Cryogenic (70 K) measurement of an all-composite 2-meter diameter mirror.Proceedings of SPIE, the International Society for Optical Engineering , 2001, 4444: 238-255
doi: 10.1117/12.447305
9 Bray M. Stitching interferometer for large optics: recent developments of a system.Proceedings of SPIE, the International Society for Optical Engineering , 1999, 3492(2): 946-956
doi: 10.1117/12.354245
10 Bray M. Stitching interferometer for large plano optics using a standard interferometer.Proceedings of SPIE, Optical manufacturing and testing II , 1997, 3134(1): 39-50
doi: 10.1117/12.295153
11 Otsubo M, Okada K, Tsujiuchi J. Measurement of large plane surface shapes by connecting small-aperture interferograms. Optical Engineering , 1994, 33(2): 608-613
doi: 10.1117/12.152248
12 Negro J E. Subaperture optical system testing. Applied Optics , 1984, 23(12): 1921-1930
doi: 10.1364/AO.23.001921 pmid:18212925
[1] Huijing ZHANG, Haobo CHENG, Hon Yuen TAM, Yongfu WEN, Dongmei ZHOU. High precision mode of subaperture stitching for optical surfaces measurement[J]. Front Optoelec, 2013, 6(2): 167-174.
[2] Sihua FU, Xuejun LONG, Hui LIN, Qifeng YU. Fringe-contoured-window sine/cosine filter for saw-tooth phase maps in ESPI[J]. Front Optoelec Chin, 2008, 1(3-4): 345-351.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed