Abstract

Two-dimensional phase retrieval by use of a window function is considered. First the uniqueness and the reconstruction of a two-dimensional signal from the Fourier intensities of the three signals, an original signal, the signal windowed by a window wm,n, and the signal windowed by its complementary window wcm,n=1-wm,n, are addressed. Then phase retrieval without a complementary window is considered. Conditions under which a signal can be uniquely specified from the Fourier intensities of the original signal and the windowed signal by wm,n are developed, and a reconstruction algorithm is presented.

© 2001 Optical Society of America

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