• Acta Photonica Sinica
  • Vol. 42, Issue 7, 878 (2013)
LIU Hong*, TAO Shao-jie, CHENG Hong, and HUANG Jiang-lin
Author Affiliations
  • [in Chinese]
  • show less
    DOI: 10.3788/gzxb20134207.0878 Cite this Article
    LIU Hong, TAO Shao-jie, CHENG Hong, HUANG Jiang-lin. Multigrid Algorithm Based on Transport of Intensity Equation[J]. Acta Photonica Sinica, 2013, 42(7): 878 Copy Citation Text show less
    References

    [1] PAGANIN D, BARTY A, NUGENT K A, et al. Quantitative phase- amplitude microscopy III: the effects of noise[J]. Journal of Microscopy, 2004, 214(1): 51–61.

    [2] NUGENT K A. X-ray image reconstruction using the transport of intensity equation[C]. The 8th International Conference on X-ray Microscopy, 2005, 7: 399-402.

    [3] TONOMURA A. Direct observation of vortex motion in high-TC superconductors by Lorentz microscopy[J]. Physica B, 2000, 280(1-4): 227-228.

    [4] CHEN Xiu-shan, LI En-pu, ZHAO Jian-lin, et al. Measurement and reconstruction of 3D acoustic standing wave filed using digital holographic interferometry[J]. Acta Photonica Sinica, 2010, 39(1): 95-99.

    [5] ELSER V. Phase retrieval by iterated projections[J]. Journal Optical Society of America A, 2003, 20(1): 40-55.

    [6] XUE Bin-dang, ZHENG Shi-ling. Phase retrieval using the transport of intensity equation solved by the FMG-CG method[J]. Optik-International Light and Electron Optics, 2011, 122(23): 2101- 2106.

    [7] XUE Bin-dang, ZHENG Shil-ing, JIANG Zhi-guo. Phase retrieval using the transport of intensity equation solved by full multigrid method[J]. Acta Optica Sinica, 2009, 29(6): 1514-1518.

    [8] WANG Xiao, MAO Heng, ZHAO Da-zun. Phase retrieval based on intensity transport equation[J]. Acta Optica Sinica, 2007, 27(12): 2117-2122.

    [9] DORRER C, ZUEGEL J D. Optical testing using the transport-of-intensity equation[J]. Optics Express, 2007, 15(12): 7165-7175.

    [10] MATRIN A V, ALLEN L J. Measuring the phase of a Bose-Einstein condensate[J]. Physical Review A, 2007, 76(5): 053606.

    [11] FRANK J, ALTMEYER S, WERNICKE G. Non-interferometric, non-iterative phase retrieval by Green′s functions[J]. Journal Optical Society of America A, 2010, 27(10): 2244-2251.

    [12] WESSELING P. An introduction to multigrid methods[M]. John Wiley&Scons.1992:168-192.

    [13] MCVITIE S, NGO D T. Quantitative measurements of phase using the transport of intensity equation[C]. Electron Microscopy and Analysis Group Conference, 2008, 126: 1742-1746.

    [14] CHENG Hong, ZHANG Quan-bing, WEI Sui, et al. Phase retrieval based on transport-of-intensity equation[J]. Acta Photonica Sinica, 2011, 40(10): 1565-1570.

    [15] GUREYEV T E, POGANY A, PAGANIN D M, et al. Linear algorithms for phase retrieval in the Fresnel region[J]. Optics Communications, 2004, 231(1-6): 53-70.

    [16] BRANT A. Multilevel adaptive solutions to boundary value problems[J]. Mathematics of Computation, 1977, 31(138): 333-390.

    [17] SCHMALZ J A, GUREYEV T E, PAGANIN D M, et al. Phase retrieval using radiation and matter-wave fields: Validity of Teague's method for solution of the transport-of-intensity equation[J] . Physical Reviewa, 2011, 84(2): 023808.

    [18] MEZOUARI S, HARVEY A R. Validity of Fresnel and Fraunhofer approximations in scalar diffraction[J]. Journal of Optics A: Pure and Applied Optics, 2003, 5(4): 86-91.

    LIU Hong, TAO Shao-jie, CHENG Hong, HUANG Jiang-lin. Multigrid Algorithm Based on Transport of Intensity Equation[J]. Acta Photonica Sinica, 2013, 42(7): 878
    Download Citation