Phase reconstruction from intensity measurements in linear systems

M.J. Bastiaans, K.B. Wolf

Research output: Contribution to journalArticleAcademicpeer-review

42 Citations (Scopus)


The phase of a signal at a plane is reconstructed from the intensity profiles at two close parallel screens connected by a small abcd canonical transform; this applies to propagation along harmonic and repulsive fibers, and in free media. We analyze the relationship between the local spatial frequency (the signal phase derivative) and the derivative of the squared modulus of the signal under a one-parameter canonical transform with respect to the parameter. We thus generalize to all linear systems the results which have been obtained separately for Fresnel and fractional Fourier transforms.
Original languageEnglish
Pages (from-to)1046-1049
Number of pages4
JournalJournal of the Optical Society of America A, Optics, Image Science and Vision
Issue number6
Publication statusPublished - 2003


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