On the solution of the phase retrieval problem
- 1 September 1975
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (9), 1719-1725
- https://doi.org/10.1063/1.522769
Abstract
It is shown that the intensity in the image plane of a microscope determines uniquely the phase of the corresponding image wavefunction up to an over‐all phase. This result is obtained using the a priori information that both the image wavefunction and the unperturbed wavefunction in the Fraunhofer plane are band‐limited and that we have some a priori knowledge about the intensity at the rim of the diaphragm in the Fraunhofer plane. If we have no useful a priori information about the wavefunction in the Fraunhofer plane, unique phase reconstruction is possible from two exposures, corresponding to two different values of the defocusing.Keywords
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