The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Phase retrieval in crystallography and optics
Abstract
Phase problems occur in many scientific disciplines, particularly those involving remote sensing using a wave field. Although there has been much interest in phase retrieval in optics and in imaging in general over the past decade, phase retrieval has a much longer history in x-ray crystallography, and a variety of powerful and practical techniques have been developed. The nature of crystallography means that crystallographic phase problems are distinct from those in other imaging contexts, but there are a number of commonalities. Here the principles of phase retrieval in crystallography are outlined and are compared and contrasted with phase retrieval in general imaging. Uniqueness results are discussed, but the emphasis is on phase-retrieval algorithms and areas in which results in one discipline have, and may, contribute to the other.
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Cites
Phase retrieval algorithms: a comparison
Fienup, J. R. (1982) · Applied Optics · doi:10.1364/ao.21.002758 · Cited by 5,596
A practical algorithm for the determination of phase from image and diffraction plane pictures
Gerchberg, R. W. (1972) · Optik · Cited by 4,519
Reconstruction of an object from the modulus of its Fourier transform
Fienup, J. R. (1978) · Optics Letters · doi:10.1364/ol.3.000027 · Cited by 1,836
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The detection of sub-units within the crystallographic asymmetric unit
Rossmann, M. G., & Blow, D. M. (1962) · Acta Crystallographica · doi:10.1107/s0365110x62000067 · Cited by 868
Speckle masking in astronomy: triple correlation theory and applications
Lohmann, A. W., Weigelt, G., & Wirnitzer, B. (1983) · Applied Optics · doi:10.1364/ao.22.004028 · Cited by 580
Some implications of a theorem due to Shannon
Sayre, D. (1952) · Acta Crystallographica · doi:10.1107/s0365110x52002276 · Cited by 557
Phase-retrieval stagnation problems and solutions
Fienup, J. R., & Wackerman, C. C. (1986) · Journal of the Optical Society of America A · doi:10.1364/josaa.3.001897 · Cited by 538
The treatment of errors in the isomorphous replacement method
Blow, D. M., & Crick, F. H. C. (1959) · Acta Crystallographica · doi:10.1107/s0365110x59002274 · Cited by 491
Argos, P., & Rossman, M. G. (1980) · Theory and Practice of Direct Methods in Crystallography · doi:10.1007/978-1-4613-2979-4_10 · Cited by 467
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Phase Retrieval via Wirtinger Flow: Theory and Algorithms
Candès, E. J., Li, X., & Soltanolkotabi, M. (2015) · IEEE Transactions on Information Theory · doi:10.1109/tit.2015.2399924 · Cited by 1,049
Characterization of arbitrary femtosecond pulses using frequency-resolved optical gating
Kane, D. J., & Trebino, R. (1993) · IEEE Journal of Quantum Electronics · doi:10.1109/3.199311 · Cited by 871
An Efficient Framework for Clustered Federated Learning
Ghosh, A., Chung, J., Yin, D., & Ramchandran, K. (2022) · IEEE Transactions on Information Theory · doi:10.1109/tit.2022.3192506 · Cited by 623
Multiwavelength Anomalous Diffraction at High X-Ray Intensity
Son, S.-K., Chapman, H. N., & Santra, R. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.218102 · Cited by 120
Metadata
- Authors
- Millane, R. P.
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 1990-03-01
- Volume
- 7
- Issue
- 3
- Pages
- 394
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W2044613770
- Cited by
- 720
- References
- 26
- FWCI
- 10.20
- Type
- journal article
- Language
- en
- Open access
- closed
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