Volume 7Issue 6
Nov. 2014
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WANG Yong-wei, AI Hua, ZHUO Ren-shan, CAO Yan-bo. Wavefront reconstruction of interferometry by DCT algorithm[J]. Chinese Optics, 2014, 7(6): 1012-1018. doi: 10.3788/CO.20140706.1012
Citation: WANG Yong-wei, AI Hua, ZHUO Ren-shan, CAO Yan-bo. Wavefront reconstruction of interferometry by DCT algorithm[J].Chinese Optics, 2014, 7(6): 1012-1018.doi:10.3788/CO.20140706.1012

Wavefront reconstruction of interferometry by DCT algorithm

doi:10.3788/CO.20140706.1012
  • Received Date:15 Sep 2014
  • Rev Recd Date:17 Oct 2014
  • Publish Date:25 Nov 2014
  • We use a type of interferometer with space phase-shifting technique to measure the optical surface of the concave aspheric mirror in this paper. By using polarized elements and multi-image collected in synchronism we implement the phase-shifting process, and we adopt the phase unwrapping algorithm based on discrete cosine transform(DCT) onto the interferograms that we measured. For the discontinuous phase distribution, we adopt the un-weighted least square method to optimize the objective function, and finally reconstruct the wavefront surface of the measured optical surface. This type of interferometer has the capacity of anti-vibration, and can optimize the algorithm in the digital image processing procedure, so we can get the measured surface shape rapidly and steadily, and it is no need for high performance hardware. This approach can be used as optical measurement out of laboratory conditions, and we can get high measuring precision under the condition of disturbance existing.

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  • [1] CREATH K. Phase-measurement interferometry techniques[J].Progress Optics,1988,10(26):349-398.
    [2] WYANT J C. Interferometric optical metrology:basic system and principles[J].Laser Focus,1982,18(1):65-71.
    [3] BURNING J H,HERRIOTT D R. Digital wavefront measuring interferometer for testing optical surfaces and lenses[J].Appl. Opt.,1974,13(11):2693-2703.
    [4] DECK L L,SOOBITSKY J A. Phase-shifting via wavelength tuning in very large aperture interferometers[J].SPIE,1999,3782:432-442.
    [5] 莫卫东,范琦,贾晋超,等. 非球面检测中最佳入射球面波和最佳参考球面波的确定[J]. 中国光学,2012,5(3):263-268. MO W D,FAN Q,JIA J CH,et al.. Determination of optimum positions of incident spherical wave and reference spherical wave in testing aspheric surface[J].Chinese Optics,2012,5(3):263-268.(in Chinese)
    [6] 杨亚威,李俊山,张士杰,等. 基于视觉对比敏感度与恰可察觉失真感知的图像复原[J]. 光学精密工程,2014,22(2):459-466. YANG Y W,LI J SH,ZHANG SH J,et al.. Image restoration based on visual contrast sensitivity and just noticeable distortion perception[J].Opt. Precision Eng.,2014,22(2):459-466.(in Chinese)
    [7] SCHWIDER J,BUROW R,MERKEL K. Digital wavefront measuring interferometry:some systematic error sources[J].Appl. Opt.,1983,22(21):3421-3432.
    [8] KERR D,KAUFMANN G H,GALIZZI G E. Unwrapping of interferometric phase-fringe maps by the discrete cosine transform[J].Appl. Opt.,1996,35(5):810-816.
    [9] GHIGLIA D C,PRITT M D.Two-Dimensional Phase Unwrapping Theory,Algorithms, and Software[M]. New York:John Wiley&Sons,Inc,1998.
    [10] QUIROGA J A,BERBABEAU E. Phase-unwrapping algorithm for noisy phase-map processing[J].Appl. Opt.,1994,33(29):6725-6731.
    [11] DE VEUSTER C,SLANGEN P,RENOTTE Y,et al.. Disk-Growing Algorithm for phase-map unwrapping: application to speckle interferogram[J].Appl. Opt.,1996,35(2):240-247.
    [12] HUNTLEY J M,SALDNER H. Temporal phase-unwrapping algorithm for automated interferogram analysis[J].Appl. Opt.,1993,32(17):3047-3502.
    [13] GHIGLIA D C,ROMERO L A. Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods[J].J. Opt. Soc. Am. A,1994,11(1):107-117.
    [14] 刘江,苗二龙,曲艺,等. 基于光强自标定移相算法检测光学面形[J]. 光学精密工程,2014,22(8):2007-2013. LIU J,MIAO E L,QU Y,et al.. Measurement of optical surface based on intensity self-calibration phase-shift algorithm[J].Opt. Precision Eng.,2014,22(8):2007-2013.

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