Optimization of sparse subaperture array model for stitching detection of plane wavefront

The sparse subaperture stitching, the accuracy of which is closely related to the arrangement, number and size of subapertures, is one of the main methods of quality testing for large aperture optical systems. A mathematical model was established to deduce the relation curve between the subaperture number k and fill factor M when the value of k ranges from one to infinity. As a result, the optimal arrangement layout, consisting of seven sparse subapertures, was obtained for the detection systems below 1.5 m. Autocollimation interference detection of Φ200 mm validated the rationality of the arrangement.

1 Hou X, Wu F, Yang L, et al. Status and development trend of sub-aperture stitching interferometric testing technique[J]. Optics & Optoelectronic Technology, 2005, 3(3): 50–53.

2 Sj dahl M, Oreb B F. Stitching interferometric measurement data for inspection of large optical components[J]. Optical Engineering, 2002, 41(2): 403–408. DOI:10.1117/1.1430727

3 Kim C J. Polynomial fit of interferograms[J]. Applied Optics, 1982, 21(24): 4521–4525. DOI:10.1364/AO.21.004521

4 He Y, Wang Z X, Wang Q, et al. Testing the large aperture optical components by the sub-aperture stitching interferometer [J]. Proceedings of SPIE, 2007, 6624: 66240D.

5 Xu X D, Shen Z X, Tong G D, et al. Sparse subaperture stitching method for measuring large aperture planar optics[J]. Optical Engineering, 2016, 55(2): 024103. DOI:10.1117/1.OE.55.2.024103

6 Yan F T, Fan B, Hou X, et al. Large-aperture mirror test using sparse sub-aperture sampling[J]. High Power Laser and Particle Beams, 2011, 23(12): 3193–3196.

7 Chow W W, Lawrence G N. Method for subaperture testing interferogram reduction[J]. Optics Letters, 1983, 8(9): 468–470. DOI:10.1364/OL.8.000468

8 Wang Y, Fu R M, Liao Z B. Wavefront reconstruction algorithm based on sparse aperture[J]. Spacecraft Recovery & Remote Sensing, 2015, 36(5): 51–59.

9 Chen S Y, Dai Y F, Li S Y, et al. Error reductions for stitching test of large optical flats[J]. Optics & Laser Technology, 2012, 44(5): 1543–1550.

10 Smith G A, Burge J H. Subaperture stitching surface errors due to noise[J]. Proceedings of SPIE, 2015, 9575: 95750W. DOI:10.1117/12.2188085

11 Hill J M, Salinari P. The large binocular telescope project[J]. Proceedings of SPIE, 2000, 5489: 603–614.

12 Chung S J, Miller D W, De Weck O L. Design and implementation of sparse aperture imaging systems[J]. Proceeding of SPIE, 2002, 4849: 181–192. DOI:10.1117/12.460077

Keywords:

sparse subaperture; mathematical modeling; stitching detection; wavefront reconstruction; interferometry

Funds:

Supported by Key Project of the National Key Research and Development Plan for Earth Observation and Navigation (2016YFB0500200)

Export Citations as: For

Get Citation: Luo Qian, Wu Shibin, Wang Lihua, et al. Optimization of sparse subaperture array model for stitching detection of plane wavefront[J]. Opto-Electronic Engineering, 2018, 45(5): 170638.

Previous: Characteristics in square air hole structure photonic crystal fiber

Next: An object tracking algorithm based on color, space and texture information

Issue Cover

2018, Issue 05

Cited By(0)

Field-level characterization of strong coupling between excitons and surface plasmon polaritons in J-aggregate/metal hybrid nanostructures

Wei Wang, Ephraim Sommer, Antonietta De Sio, et al