Complex signal recovery from multiple fractional Fourier-transform intensities

Date
2005-08-10
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Source Title
Applied Optics
Print ISSN
0003-6935
Electronic ISSN
2155-3165
Publisher
Optical Society of America
Volume
44
Issue
23
Pages
4902 - 4908
Language
English
Type
Article
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Abstract

The problem of recovering a complex signal from the magnitudes of any number of its fractional Fourier transforms at any set of fractional orders is addressed. This problem corresponds to the problem of phase retrieval from the transverse intensity profiles of an optical field at arbitrary locations in an optical system involving arbitrary concatenations of lenses and sections of free space. The dependence of the results on the number of orders, their spread, and the noise is investigated. Generally, increasing the number of orders improves the results, but with diminishing return beyond a certain point. Selecting the measurement planes such that their fractional orders are well separated or spread as much as possible also leads to better results.

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Published Version (Please cite this version)