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Based on the analysis of the periodic error in the reconstructed image of the ptychographic iterative engine (PIE), the cause in mathematics for this kind of error is found out, and then a method is proposed to eliminate it. By replacing the 2D periodic scanning of fixed step interval in common PIE imaging with the 2D raster scanning of changing step interval, the periodical error in the reconstructed images can be dramatically reduced, and then the accuracy of the PIE imaging is remarkably improved. Both the theoretical investigation and numerical simulations are presented.
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Keywords:
- coherent diffraction imaging /
- phase retrieval /
- reconstruction error
[1] Miao J, Charalambous P, Kirz, J, Sayre D 1999 Nature 400 342
[2] Thibault P, Dierolf M, Bunk O, Menzel A, Pfeiffer F 2009 Ultramicroscopy 109 338
[3] Thibault P, Dierolf M, Menzel A, Bunk O, David C, Pfeiffer F 2008 Science 321 379
[4] Abbey B, Nugent A K, Willianms G J, Clark J N, Peele A G, Pfeifer M A, Jonge M, McNulty I 2008 Nature Physics 4 394
[5] Dierolf M, Thibault P, Menzel A, Kewish C M, Jefimovs K, Schlichting I, König K, Bunk O, Pfeiffer F 2010 New. J. Phys. 12 035017
[6] Rodenburg J M 2008 Phys. 150 87
[7] Liu C, Pan X C, Zhu J Q 2013 Acta Phys. Sin. 62 184204 (in Chinese) [刘诚, 潘兴臣, 朱健强 2013 物理学报 62 184204]
[8] Fan J D, Jiang H D 2012 Acta Phys. Sin. 61 218702 (in Chinese) [范家东, 江怀东 2012 物理学报 61 218702]
[9] Weierstall U, Chen Q, Spence J C H, Howells M R, Isaacson M, Panepucci R R 2002 Ultramicroscopy 90 171
[10] Hoppe W 1969 A Acta Cryst. 25 495
[11] Fienup J R 1982 Appl. Opt. 21 2758
[12] Fienup J R 1978 Opt. Lett. 31 27
[13] Fienup J R 1987 J. Opt. Soc. Am. A 4 118
[14] Rodenburg J M, Faulkner H M L 2004 Appl. Phys. Lett. 85 4795
[15] Faulkner H M L, Rodenburg J M 2004 Phys. Rev. Lett. 93 023903
[16] Rodenburg J M, Hurst A C, Cullis A G 2007 Ultramicroscopy 107 227
[17] Rodenburg J M, Hurst A C, Cullis A G, Dobson B R, Pfeiffer F, Bunk O, David C, Jefimovs K, Johnson I 2007 Phys. Rev. Lett. 98 034801
[18] Humphry M J, Kraus B, Hurst A C, Maiden A M, Rodenburg J M 2012 Nature Commun. 3 1733
[19] Maiden M A, Rodenburg J M 2009 Ultramicroscopy. 109 1256
-
[1] Miao J, Charalambous P, Kirz, J, Sayre D 1999 Nature 400 342
[2] Thibault P, Dierolf M, Bunk O, Menzel A, Pfeiffer F 2009 Ultramicroscopy 109 338
[3] Thibault P, Dierolf M, Menzel A, Bunk O, David C, Pfeiffer F 2008 Science 321 379
[4] Abbey B, Nugent A K, Willianms G J, Clark J N, Peele A G, Pfeifer M A, Jonge M, McNulty I 2008 Nature Physics 4 394
[5] Dierolf M, Thibault P, Menzel A, Kewish C M, Jefimovs K, Schlichting I, König K, Bunk O, Pfeiffer F 2010 New. J. Phys. 12 035017
[6] Rodenburg J M 2008 Phys. 150 87
[7] Liu C, Pan X C, Zhu J Q 2013 Acta Phys. Sin. 62 184204 (in Chinese) [刘诚, 潘兴臣, 朱健强 2013 物理学报 62 184204]
[8] Fan J D, Jiang H D 2012 Acta Phys. Sin. 61 218702 (in Chinese) [范家东, 江怀东 2012 物理学报 61 218702]
[9] Weierstall U, Chen Q, Spence J C H, Howells M R, Isaacson M, Panepucci R R 2002 Ultramicroscopy 90 171
[10] Hoppe W 1969 A Acta Cryst. 25 495
[11] Fienup J R 1982 Appl. Opt. 21 2758
[12] Fienup J R 1978 Opt. Lett. 31 27
[13] Fienup J R 1987 J. Opt. Soc. Am. A 4 118
[14] Rodenburg J M, Faulkner H M L 2004 Appl. Phys. Lett. 85 4795
[15] Faulkner H M L, Rodenburg J M 2004 Phys. Rev. Lett. 93 023903
[16] Rodenburg J M, Hurst A C, Cullis A G 2007 Ultramicroscopy 107 227
[17] Rodenburg J M, Hurst A C, Cullis A G, Dobson B R, Pfeiffer F, Bunk O, David C, Jefimovs K, Johnson I 2007 Phys. Rev. Lett. 98 034801
[18] Humphry M J, Kraus B, Hurst A C, Maiden A M, Rodenburg J M 2012 Nature Commun. 3 1733
[19] Maiden M A, Rodenburg J M 2009 Ultramicroscopy. 109 1256
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