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Chin. Phys. B, 2017, Vol. 26(3): 039501    DOI: 10.1088/1674-1056/26/3/039501
GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS Prev  

Error analysis of the piston estimation method in dispersed fringe sensor

Yang Li(李杨)1,2,3, Sheng-Qian Wang(王胜千)1,2, Chang-Hui Rao(饶长辉)1,2
1 Laboratory on Adaptive Optics, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China;
2 Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu 610209, China;
3 University of Chinese Academy of Sciences, Beijing 100049, China
Abstract  Dispersed fringe sensor (DFS) is an important phasing sensor of next-generation optical astronomical telescopes. The measurement errors induced by the measurement noise of three piston estimation methods for the DFS including least-squared fitting (LSF) method, frequency peak location (FPL) method and main peak position (MPP) method, are analyzed theoretically and validated experimentally in this paper. The experimental results coincide well with the theoretical analyses. The MPP, FPL, LSF are used respectively when the DFS operates with broadband light (central wavelength: 706 nm, bandwidth: 23 nm). The corresponding root mean square (RMS) value of estimated piston error can be achieved to be 1 nm, 3 nm, 26 nm, respectively. Additionally, the range of DFS with the FPL can be more than 100 μm at the same time. The FPL method can work well both in coarse and fine phasing stages with acceptable accuracy, compared with LSF method and MPP method.
Keywords:  adaptive and segmented optics      telescopes      interferometer      phase measurement  
Received:  10 November 2016      Revised:  06 December 2016      Accepted manuscript online: 
PACS:  95.75.Qr (Adaptive and segmented optics)  
  95.55.Cs (Ground-based ultraviolet, optical and infrared telescopes)  
  07.60.Ly (Interferometers)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61008038).
Corresponding Authors:  Chang-Hui Rao     E-mail:  chrao@ioe.ac.cn

Cite this article: 

Yang Li(李杨), Sheng-Qian Wang(王胜千), Chang-Hui Rao(饶长辉) Error analysis of the piston estimation method in dispersed fringe sensor 2017 Chin. Phys. B 26 039501

[1] Shi F, Chanan G, Ohara C, Troy M and Redding D C 2004 Appl. Opt. 43 4474
[2] Liu Z, Wang S Q, Huang L H and Rao C H 2011 Proc. SPIE 8197 819716
[3] Luo Q, Huang L H, Gu N T, Li F and Rao C H 2012 Acta Phys. Sin. 61 069501 (in Chinese)
[4] Jiang Z Y, Li L and Huang Y F 2009 Chin. Phys. B 18 02774
[5] Shi F, Redding D and Bowersetal C 2000 Proc. SPIE 4013 757
[6] Acton D S, Knight J S, Contos A, Grimaldi S, Terry J, Lightsey P, Barto A, League B, Dean B, Smith J S, Bowers C, Aronstein D, Feinberg L, Hayden W, Comeau T, Soummer R, Elliott E, Perrin M and Starr C W 2012 Proc. SPIE 8442 84422H
[7] Kanneganti S, McLeod B A, Ordway M P, Roll J B, Shectman S A, Bouchez A H, Codona J, Eng R, Gauron T M, Handte F, Norton T J, Streechon P and Weaver D 2012 Proc. SPIE 8447 844752
[8] Spechler J A, Hoppe D J, Sigrist N, Shi F, Seo B J and Bikkannava S 2010 Proc. SPIE 7731 773155
[9] Van D M A, McLeod B A and Bouchez A H 2016 Appl. Opt. 55 539
[10] Gonga Q, Chub J, Tournois S, Eichhorna W and Kubalaka D 2011 Proc. SPIE 8150 81500M
[11] Zhao W R and Cao G R 2011 Opt. Express 19 8670
[12] Zhang Y, Liu G R, Wang Y F, Li Y P, Zhang Y J, Zhang L, Zeng Y Z and Zhang J 2011 Res. Astron. Astrophys. 11 1111
[13] McLeod B, Boucher A and Acton D S 2013 Proc. Third. AO4ELT. Conf.
[14] Hasinoff S W 2014 Photon, Poisson Noise (New York: Springer Press) p. 131
[15] Kyriazis G A, Ramos P M and Serra A C 2011 Proc. IMEKO TC4 Symp. Natal. Brazil. pp. 27-30
[16] Belega D, Petri D and Dallet D 2012 Proc. IEEE Trans. Instrum. Meas. 61 3234
[17] Cao G R and Yu X 1994 Opt. Eng. 33 2331
[18] Vliet L V, Rieger B and Verbeek P W 2002 Fourier Transform of a Gaussian
[19] Wang Z, Bovik A C, Sheikh H R and Simoncelli E P 2004 Proc. IEEE Trans. Image. Process. 13600
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