• Acta Optica Sinica
  • Vol. 31, Issue 10, 1001002 (2011)
Huang Shengyang*, Xi Fengjie, Liu Changhai, and Jiang Zongfu
Author Affiliations
  • [in Chinese]
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    DOI: 10.3788/aos201131.1001002 Cite this Article Set citation alerts
    Huang Shengyang, Xi Fengjie, Liu Changhai, Jiang Zongfu. Phase Retrieval Using Eigenfunctions to Solve Transport-of- Intensity Equation[J]. Acta Optica Sinica, 2011, 31(10): 1001002 Copy Citation Text show less
    References

    [1] M. R. Teague. Deterministic phase retrieval: a Green′s function solution[J]. J. Opt. Soc. Am. A, 1983, 73(11): 1434-1441

    [2] D. Paganin, K. A. Nugent. Noninterferometric phase imaging with partially coherent light[J]. Phys. Rev. Lett., 1998, 80(12): 2586-2589

    [3] S. Bajt, A. Barty, K. A. Nugent et al.. Quantitative phase-sensitive imaging in a transmission electron microscope[J]. Ultramicroscopy, 2000, 83(1-2): 67-73

    [4] K. A. Nugent, T. E. Gureyev, D. J. Cookson et al.. Quantitative phase imaging using hard X rays[J]. Phys. Rev. Lett., 1996, 77(14): 2961-2964

    [5] B. E. Allman, P. J. McMahon, K. A. Nugent et al.. Imaging: Phase radiography with neutrons[J]. Nature, 2000, 408(6809): 158-159

    [6] F. Roddier. Wavefront sensing and equation the irradiance transport[J]. Appl. Opt., 1990, 29(10): 1402-1403

    [7] M. Watanabe, S. Oya, Y. Hayano et al.. Implementation of 188-element curvature-based wavefront sensor and calibration source unit for the Subaru LGSAO system[C]. SPIE, 2008, 7015: 701564

    [8] F. Díaz-Doutón, J. Pujol, M. Arjona et al.. Curvature sensor for ocular wavefront measurement[J]. Opt. Lett., 2006, 31(15): 2245-2247

    [9] S. Woods, A. H. Greenaway. Wave-front sensing by use of a Green′s function solution to the intensity transport equation[J]. J. Opt. Soc. Am. A, 2003, 20(3): 508-512

    [10] Xi Fengjie, Xu Xiaojun, Wang Tiezhi et al.. Wavefront curvature sensor with phase defocus grating[J]. Acta Optica Sinica, 2007, 27(2): 377-378

    [11] T. E. Gureyev, K. A. Nugent. Phase retrieval with the transport-of-intensity equation. II. Orthogonal series solution for nonuniform illumination[J]. J. Opt. Soc. Am. A, 1996, 13(8): 1670-1682

    [12] S. Rios, E. Acosta, S. Bara. Modal phase estimation from wavefront curvature sensing[J]. Opt. Commun., 1996, 123: 453-456

    [13] V. V. Voitsekhovich. Phase-retrieval problem and orthogonal expansions: curvature sensing[J]. J. Opt. Soc. Am. A, 1995, 12(10): 2194-2202

    [14] L. J. Allen, M. P. Oxley. Phase retrieval from series of images obtained by defocus variation[J]. Opt. Commun., 2001, 199: 65-75

    [15] Wang Xiao, Mao Heng, Zhao Dazun. Phase retrieval based on intensity transport equation[J]. Acta Optica Sinica, 2007, 27(12): 2117-2122

    [16] Xue Bindang, Zheng Shiling, Jiang Zhiguo. Phase retrieval using transport of intensity equation solved by full multigrid method[J]. Acta Optica Sinica, 2009, 29(6): 1515-1518

    [17] T. E. Gureyev, K. A. Nugent. Rapid quantitative phase imaging using the transport of intensity equation[J]. Opt. Commun., 1997, 133(1-6): 339-346

    [18] J. Frank, S. Altmeyer, G. Wernicke. Non-interferometric, non-iterative phase retrieval by Green′s functions[J]. J. Opt. Soc. Am. A, 2010, 27(10): 2244-2251

    [19] Huang Shengyang, Xi Fengjie, Liu Changhai et al.. Eigenfunctions of Laplacian for phase estimation from wavefront gradient or curvature sensing[J]. Opt. Commun., 2011, 284: 2781-2783

    [20] D. Paganin, A. Barty, P. J. McMahon et al.. Quantitative phase-amplitude microscopy. III. The effects of noise[J]. J. Microsc., 2004, 214(1): 51-61

    [21] N. M. Milton, M. Lloyd-Hart. Disk harmonic functions for adaptive optics simulations[C]. Adaptive Optics: Analysis and Methods/Computational Optical Sensing and Imaging/Information Photonics/Signal Recovery and Synthesis Topical Meetings on CD-ROM, Technical Digest (Optical Society of America, 2005), paper AWA3

    [22] Li Junchang, Xiong Bingheng. Theory and Calculation of Information Optics[M]. Beijing: Science Press, 2009. 102-105

    [23] R. J. Noll. Zernike polynomials and atmospheric turbulence[J]. J. Opt. Soc. Am., 1976, 66(3): 207-211

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    Huang Shengyang, Xi Fengjie, Liu Changhai, Jiang Zongfu. Phase Retrieval Using Eigenfunctions to Solve Transport-of- Intensity Equation[J]. Acta Optica Sinica, 2011, 31(10): 1001002
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