Abstract
It is commonly understood that the retrieval of a complex-valued object from its diffraction pattern using a support constraint is a difficult problem, the more so if the support is symmetric. In this Letter we show that, for just such a symmetric support, use of an iterative algorithm in which the basic iteration is specified by a difference map converges routinely. All that is required is sufficient oversampling in the diffraction pattern coupled with judicious choices of the parameters defining the difference map.
McBride, W;
O'Leary, N L;
Allen, L
[1]
- School of Physics, University of Melbourne, Victoria 3010 (Australia)
Citation Formats
McBride, W, O'Leary, N L, and Allen, L.
Retrieval of a complex-valued object from its diffraction pattern.
United States: N. p.,
2004.
Web.
doi:10.1103/PhysRevLett.93.233902.
McBride, W, O'Leary, N L, & Allen, L.
Retrieval of a complex-valued object from its diffraction pattern.
United States.
https://doi.org/10.1103/PhysRevLett.93.233902
McBride, W, O'Leary, N L, and Allen, L.
2004.
"Retrieval of a complex-valued object from its diffraction pattern."
United States.
https://doi.org/10.1103/PhysRevLett.93.233902.
@misc{etde_20621537,
title = {Retrieval of a complex-valued object from its diffraction pattern}
author = {McBride, W, O'Leary, N L, and Allen, L}
abstractNote = {It is commonly understood that the retrieval of a complex-valued object from its diffraction pattern using a support constraint is a difficult problem, the more so if the support is symmetric. In this Letter we show that, for just such a symmetric support, use of an iterative algorithm in which the basic iteration is specified by a difference map converges routinely. All that is required is sufficient oversampling in the diffraction pattern coupled with judicious choices of the parameters defining the difference map.}
doi = {10.1103/PhysRevLett.93.233902}
journal = []
issue = {23}
volume = {93}
journal type = {AC}
place = {United States}
year = {2004}
month = {Dec}
}
title = {Retrieval of a complex-valued object from its diffraction pattern}
author = {McBride, W, O'Leary, N L, and Allen, L}
abstractNote = {It is commonly understood that the retrieval of a complex-valued object from its diffraction pattern using a support constraint is a difficult problem, the more so if the support is symmetric. In this Letter we show that, for just such a symmetric support, use of an iterative algorithm in which the basic iteration is specified by a difference map converges routinely. All that is required is sufficient oversampling in the diffraction pattern coupled with judicious choices of the parameters defining the difference map.}
doi = {10.1103/PhysRevLett.93.233902}
journal = []
issue = {23}
volume = {93}
journal type = {AC}
place = {United States}
year = {2004}
month = {Dec}
}