On the solution of the phase retrieval problem

Hoenders, B. J., 1975, In : Journal of Mathematical Physics. 16, 9, p. 1719-1725 7 p.

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  • B.J. Hoenders
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.
Original languageEnglish
Pages (from-to)1719-1725
Number of pages7
JournalJournal of Mathematical Physics
Issue number9
Publication statusPublished - 1975

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