Infrared and Laser Engineering, Volume. 44, Issue 3, 1068(2015)
Discrete sampling points of non-circular aperture orthogonal polynomials wave-front fitting
[1] [1] Wang Xiaokun. Test on large convex aspherical mirror by subaperture stitching interferometry[J]. Infrared and Laser Engineering, 2013, 42(3): 716-722. (in Chinese)
[2] [2] Zhang Yu, Jin Chunshui, Ma Dongmei, et al. Analysis of measuring errors for the visible light phase shifting point diffraction interferometer[J]. Infrared and Laser Engineering, 2012, 41(5): 1351-1356. (in Chinese)
[3] [3] Peng Jianhua, Shen Yibing, Wang Kaiwei, et al. Error impact analysis and experimental research for absolute testing of spherical surfaces[J]. Infrared and Laser Engineering, 2012, 41(5): 1345-1350. (in Chinese)
[4] [4] Zhang Yanyan, Chen Suting, Li Mei, et al. Wave-front signal extraction of adaptive optical system[J]. Infrared and Laser Engineering, 2012, 41(10): 2768-2773. (in Chinese)
[7] [7] Malacara D. Optical Shop Testing[M]. 3rd ed. US: John Wiley & Sons, Inc, 2007.
[8] [8] Hou Xi, Wu Fan, Yang Li, et al. Effect of central obscuration interferograms fitted with Zernike circle polynomials on calculating Seidel aberrations[J]. Acta Optica Sinica, 2006, 26(1): 54-62. (in Chinese)
[9] [9] Han Zhigang, Chen Lei, Gao Bo, et al. Absolute flatness measurement method based on oblique incidence testing[J]. Chinese Journal of Scientific Instrument, 2011, 32(3): 707-712. (in Chinese)
[10] [10] Upton R, Ellerbroek B. Gram-Schmidt orthogonalization of the Zernike polynomials on apertures of arbitrary shape[J]. Optics Letters, 2004, 29(24): 2480-2842.
[11] [11] Mahajan V N, Dai G M. Orthonormal polynomials for hexagonal pupils[J]. Optics Letters, 2006, 31: 2462-2464.
[12] [12] Dai G M, Mahajan V N. Zernike annular polynomials and atmospheric turbulence[J]. J Opt Soc Am A, 2007, 24: 139-155.
[13] [13] Mahajan V N, Dai G M. Orthonormal polynomials in wavefront analysis: analytical solution[J]. J Opt Soc Am A, 2007, 24(9): 2994-3016.
[14] [14] Mahajan V N, Dai G M. Orthonormal polynomials in wavefront analysis: error analysis [J]. Applied Optics, 2008, 47(19): 3433-3445.
[15] [15] Duan Haifeng, Yang Zeping, Wang Shuqing, et al. Model wavefront reconstruction of Shack-Hartmann sensor on arbitrary area and wavefront expression by Zernike polynomials[J]. Chinese Journal of Lasers, 2002, 29(6): 517-520. (in Chinese)
[16] [16] Li Mengyang, Li Dahai, Wang Qionghua, et al. Wavefront Reconstruction with orthonormal polynomials in a square area[J]. Chinese Journal of Lasers, 2012, 39(11): 1108011. (in Chinese)
[17] [17] Shi Z G, Sui Y X, Liu Z Y, et al. Mathematical construction and perturbation analysis of Zernike discrete orthogonal points [J]. Applied Optics, 2012, 51(18): 4210-4214.
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Sun Wenqing, Chen Lei, Li Jinpeng, Wulan Tuya, He Yong. Discrete sampling points of non-circular aperture orthogonal polynomials wave-front fitting[J]. Infrared and Laser Engineering, 2015, 44(3): 1068
Category: 光电测量
Received: Jul. 21, 2014
Accepted: Aug. 20, 2014
Published Online: Jan. 26, 2016
The Author Email: Wenqing Sun (yy20807@163.com)
CSTR:32186.14.