Abstract
A detailed theoretical review of phase retrieval algorithms, including the generalized Gerchberg–Saxton algorithm and some of its modifications, is presented. The possibility of applying phase retrieval algorithms to study the magnetic domain structure by dichroic coherent diffractive imaging is investigated on numerical examples. An optimal strategy for analyzing experimental data, stable to their nonidealities, is developed.
Similar content being viewed by others
REFERENCES
R. W. Gerchberg, Optik 35, 237 (1972).
H. H. Bauschke, P. L. Combettes, and D. R. Luke, J. Opt. Soc. Am. A 19 (7), 1334 (2002).
J. R. Fienup, Appl. Opt. 21 (15), 2758 (1982).
J. R. Fienup, Appl. Opt. 52 (1), 45 (2013).
T. Latychevskaia, Appl. Opt. 57 (25), 7187 (2018).
S. Kalbfleisch et al., AIP Conf. Proc. 1365 (1), 96 (2011).
M. J. Bogan, et al., Nanoletters 8 (1), 310 (2008).
L. Muller, et al., Synchrotron Radiat. News 26 (6), 27 (2013).
Y. Chushkin, et al., J. Synchrotron Radiat. 21 (3), 594 (2014).
H. N. Chapman, et al., Nature Phys. 2 (12), 839 (2006).
A. Tripathi, et al., Proc. Natl. Acad. Sci. U. S. A. 108 (33), 13393 (2011).
J. E. Gubernatis et al., J. Appl. Phys. 48 (7), 2812 (1977).
G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists (1999).
J. Miao et al., Science 348 (6234), 530 (2015).
P. Thibault et al., Ultramicroscopy 109 (4), 338 (2009).
S. Eisebitt et al., Nature 432 (7019), 885 (2004).
L. Fallarino et al., Phys. Rev. 99 (2), 024431 (2019).
L. W. Whitehead et al., Phys. Rev. Lett. 103 (24), 243902 (2009).
T. Le, R. Chartrand, and T. J. Asaki, J. Math. Imaging Vision 27 (3), 257 (2007).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflict of interest.
Additional information
Translated by Yu. Sin’kov
Rights and permissions
About this article
Cite this article
Antonov, M.C., Nikolaev, K.V. & Yakunin, S.N. Phase Retrieval Algorithm for Reconstructing the Structure of Magnetic Domains Using Dichroic Coherent Diffractive Imaging: Numerical Examples. Crystallogr. Rep. 67, 851–859 (2022). https://doi.org/10.1134/S1063774522060037
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063774522060037